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Class 12 • Physics
Current Electricity
Chapter-3
735 Questions
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124 Easy602 Medium9 Hard
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1
MediumAiims2019
For a wire $\frac{R}{\ell}=\frac{1}{2} and length of wire is \ell=5 \mathrm{~cm}. If potential difference of \mathrm{l} \mathrm{V} is applied across it, then current through wire will be (R=$ Resistance)
Options:
A) 40 A
B) 4 A
C) 25 A
D) 2.5 A
2
MediumAiims2019
A current of $10 \mathrm{~A} is passing through a metallic wire of cross-sectional area 4 \times 10^{-6} \mathrm{~m}^2. If the density of the aluminium conductor is 2.7 \mathrm{~gm} / \mathrm{cc} considering aluminium gives 1 electron per atom for conduction, then find the drift velocity of the electrons if molecular weight of aluminium is 27 \mathrm{~gm}$.
Options:
A) 1.6 \times 10^{-4} \mathrm{~m} / \mathrm{s}
B) 3.6 \times 10^{-4} \mathrm{~m} / \mathrm{s}
C) 2.6 \times 10^{-4} \mathrm{~m} / \mathrm{s}
D) 1.5 \times 10^{-4} \mathrm{~m} / \mathrm{s}
3
MediumAiims2018
A metal wire has a resistance of $35 \Omega$. If its length is increased to double by drawing it, then its new resistance will be
Options:
A) 70 \Omega
B) 140 \Omega
C) 105 \Omega
D) 35 \Omega
4
MediumAiims2018
In the circuit in the figure, if no current flows through the galvanometer when the key K is closed, the bridge is balanced. The balancing condition for bridge is
Options:
A) \frac{C_1}{C_2}=\frac{R_1}{R_2}
B) \frac{C_1}{C_2}=\frac{R_2}{R_1}
C) \frac{C_1^2}{C_2^2}=\frac{R_1^2}{R_2^2}
D) \frac{C_1^2}{C_2^2}=\frac{R_2}{R_1}
5
MediumAiims2018
In the circuit, shown the galvanometer $G of resistance 60 \Omega is shunted by a resistance r=0.02 \Omega. The current through R is nearly 1 \mathrm{~A}. The value of resistance R$ (in ohm) is nearly
Options:
A) 1.00 $\Omega
B) 5.00 $\Omega
C) 11.0 $\Omega
D) 6.0 $\Omega
6
MediumAiims2018
In the adjoining circuit diagram, the readings of ammeter and voltmeter are 2 A and 120 V, respectively. If the value of R is 75$\Omega$, then the voltmeter resistance will be
Options:
A) 100 $\Omega
B) 150 $\Omega
C) 300 $\Omega
D) 75 $\Omega
7
MediumAiims2018
Assertion Terminal voltage of a cell is greater than emf of cell during charging of the cell. Reason The emf of a cell is always greater than its terminal voltage.
Options:
A) Both Assertion and Reason are correct, Reason is the correct explanation of Assertion
B) Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
C) Assertion is correct and Reason is incorrect
D) Assertion is incorrect and Reason is correct
8
MediumAiims2018
Assertion Bulb generally get fused when they are switched on or off. Reason When we switch on or off, a circuit current changes in it rapidly.
Options:
A) Both Assertion and Reason are correct, Reason is the correct explanation of Assertion
B) Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
C) Assertion is correct and Reason is incorrect
D) Assertion is incorrect and Reason is correct
9
MediumAiims2017
A cylindrical conductor AB of non-uniform area of cross-section carries a current of 5A. The radius of the conductor at one end A is 0.5 cm. The current density at the other end of the conductor is half of the value at A. The radius of the conductor at the end B is nearly
Options:
A) 1.4 cm
B) 0.7 cm
C) 0.6 cm
D) None of these
10
MediumAiims2017
The effective resistance between p and q in given figure is
Options:
A) 2$\Omega
B) 3$\Omega
C) 5$\Omega
D) 6$\Omega
11
MediumAiims2017
Two batteries, one of emf $18 \mathrm{~V} and internal resistance 2 \Omega and the other of emf 12 \mathrm{~V} and internal resistance 1 \Omega are connected as shown. The voltmeter V$ will record a reading of
Options:
A) 14 V
B) 15 V
C) 18 V
D) 30 V
12
MediumAiims2017
Assertion : A potentiometer is preferred over that of a voltmeter for measurement of emf of a cell. Reason : Potentiometer does not draw any current from the cell.
Options:
A) Both assertion and reason are true and reason is the correct explanation of assertion
B) Both assertion and reason are true but reason is not the correct explanation of assertion
C) Assertion is true but reason is false
D) Both assertion and reason are false.
13
MediumBITSAT2024
Find the average value of current shown graphically from t=0 to t=2 \mathrm{~s} .
Options:
A) 3 A
B) 5 A
C) 10 A
D) 4 A
14
MediumBITSAT2024
In the given circuit, E_{1}=E_{2}=E_{3}=2 \mathrm{~V} and R_{1}=R_{2}=4 \Omega , then current flowing through the branch A B is
Options:
A) zero
B) 2 A from A and B
C) 2 A from B to A
D) 5 A from B to B
15
MediumBITSAT2024
In the following circuit diagram, when 3 \Omega resistor is removed, then equivalent resistance of the network
Options:
A) increases
B) decreases
C) remains same
D) None of these
16
MediumBITSAT2024
A conducting wire is stretched by applying a deforming force, so that its diameter decreases to 40 \% of original value. The percentage change in its resistance will be
Options:
A) 0.9 \%
B) 0.12 \%
C) 1.6 \%
D) 0.5 \%
17
MediumBITSAT2023
The power dissipated in the circuit shown in the figure $40 \mathrm{~W}. The value of R$ is.
Options:
A) 20$\Omega
B) 15$\Omega
C) 5$\Omega
D) 30$\Omega
18
MediumBITSAT2022
In the arrangement shown in figure, when the switch S 2 is open, the galvanometer, shows no deflection for $l = 50 cm when the switch S 2 is closed, the galvanometer shows no deflection for l$ = 0.416 m. The internal resistance (r) of 6 V cell is
Options:
A) 2 $\Omega
B) 3 $\Omega
C) 5 $\Omega
D) 9 $\Omega
19
MediumBITSAT2021
A shunt is connected in parallel with a galvanometer. Why?
Options:
A) To prevent galvanometer from strong current
B) To convert galvanometer into ammeter
C) To increase the range of ammeter
D) All of the above
20
MediumBITSAT2021
In the following circuit, assuming point A to be at zero potential, then what is the potential at point B?
Options:
A) 1 V
B) 2 V
C) 4 V
D) 3 V
21
MediumBITSAT2020
In the circuit shown, if the 10 $\Omega resistor is replaced by a resistor of 15 \Omega$, then what is the amount of current drawn from the battery?
Options:
A) 100 A
B) 10 A
C) 1 A
D) 2.4 A
22
MediumBITSAT2020
A moving coil galvanometer has a resistance of 60 $\Omega and it indicates full deflection on passing a current of 4.5 mA. A voltmeter is made using this galvanometer and a 4.5 k\Omega$ resistance. The maximum voltage, that can be measured using this voltmeter, will be close to
Options:
A) 21 V
B) 20.5 V
C) 20 V
D) 19.5 V
23
MediumBITSAT2020
A potentiometer wire, 10 m long, has a resistance of 40$\Omega. It is connected in series with a resistance box and a 4 V storage cell. If the potential gradient along the wire is 0.4 mV cm -$1 , the resistance unplugged in the box is
Options:
A) 220 $\Omega
B) 360 $\Omega
C) 760 $\Omega
D) 848.3 $\Omega
24
MediumCOMEDK2025
A galvanometer having a resistance of 50 \Omega is shunted by a wire of resistance 10 \Omega. If the total current is 2 A , the current passing through the shunt is:
Options:
A) \frac{3}{5} \mathrm{~A}
B) \frac{2}{5} \mathrm{~A}
C) \frac{5}{6} \mathrm{~A}
D) \frac{5}{3} \mathrm{~A}
25
MediumCOMEDK2025
The power dissipated across the 16 \Omega resistor in the circuit is 2 watts. The power dissipated in watt units across the 4 \Omega resistor is:
Options:
A) 2.38 W
B) 0.64 W
C) 1.28 W
D) 4.28 W
26
MediumCOMEDK2025
The net resistance between the points A and B in the circuit given below is:
Options:
A) \frac{8}{3} \mathrm{R}
B) \frac{8}{5} R
C) R
D) \frac{5}{3} \mathrm{R}
27
MediumCOMEDK2025
A student measures the terminal potential difference V of a cell of emf \varepsilon and internal resistance r as a function of the current I flowing through it. Which of the following graphs will give the values of emf \varepsilon and internal resistance r ?
Options:
A) 2
B) 1
C) 4
D) 3
28
MediumCOMEDK2025
The resistance of a heating element is found to be 120 \Omega at room temperature which is 20^{\circ} \mathrm{C}. If the temperature coefficient of the material of the resistor is 1.6 \times 10^{-4} C^{-1} and the resistance is found to be 160 \Omega, the temperature of the element is:
Options:
A) 1203^{\circ} \mathrm{C}
B) 2083^{\circ} \mathrm{C}
C) 2310^{\circ} \mathrm{C}
D) 2013^{\circ} \mathrm{C}
29
MediumCOMEDK2025
The wire made of Phosphor bronze is used as the suspension strip in the moving coil galvanometer, because:
Options:
A) Its restoring torque per unit twist is very large
B) It is more flexible
C) It has less tensile strength
D) Its restoring torque per unit twist is small.
30
MediumCOMEDK2025
Ten cells, each having internal resistance 1 \Omega and emf 1.5 V are connected in series. But unknowingly 3 cells are connected wrongly in series. The effective internal resistance and emf of the series combination are respectively:
Options:
A) 0.1 \Omega and 1.5 V
B) 6 \Omega and 10 V
C) 10 \Omega and 6 V
D) 10 \Omega and 15 V
31
MediumCOMEDK2025
A galvanometer of 50 \Omega resistance is converted into an ammeter using a shunt resistance of 10 \Omega. If the same resistance is used to convert the same galvanometer in to a voltmeter, what would be the ratio of the resistance of the ammeter to the resistance of the voltmeter?
Options:
A) 5: 1
B) 5: 36
C) 5: 6
D) 1: 5
32
MediumCOMEDK2025
The resistance of the conductor is \sqrt{3} \Omega the angle made by the V-I graph with the voltage axis is \theta
Options:
A) \theta=60^{\circ}
B) \theta=30^{\circ}
C) \theta=15^0
D) \theta=45^{\circ}
33
MediumCOMEDK2025
Across the 220 V source of internal resistance 20 \Omega, how many lamps of 40 \mathrm{~W}, 100 \mathrm{~V} can be connected in parallel so that all the lamps may glow with full brightness.
Options:
A) 40
B) 15
C) 30
D) 20
34
MediumCOMEDK2025
Two wires A and B made of same material having length 10 cm and 40 cm respectively are connected in parallel to the same source of emf 10 V . What will be the ratio of the drift velocity of the electrons in the wire A to the drift velocity in the wire B ?
Options:
A) \frac{V_{d A}}{V_{d B}}=1: 4
B) \frac{V_{d A}}{V_{d B}}=1: 2
C) \frac{V_{d A}}{V_{d B}}=4: 1
D) \frac{V_{d A}}{V_{d B}}=2: 1
35
MediumCOMEDK2025
A student measures the terminal potential difference V of a cell (emf \varepsilon and internal resistance r ) as a function of current I flowing through it, and draws V versus I graph. The slope and intercept of the graph respectively are
Options:
A) -r,-\varepsilon
B) -r, \varepsilon
C) r,-\varepsilon
D) r, \varepsilon
36
MediumCOMEDK2025
A galvanometer of resistance 50 \Omega is connected to a battery of 4 V along with a resistance of 3950 \Omega in series. A full-scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 10 divisions, the resistance in series should be equal to:
Options:
A) 8950 ohm
B) 11950 ohm
C) 7000 ohm
D) 6000 ohm
37
MediumCOMEDK2025
Two identical conductors of lengths 1 and 31 respectively are maintained at the same temperature. They are given potential differences in the ratio 1: 3. The ratio of their drift velocities is
Options:
A) 1: 9
B) 9: 1
C) 1: 1
D) 1: 3
38
MediumCOMEDK2025
If voltage across a bulb rated 220 \mathrm{~V}, 50 \mathrm{~W} drops by 5 \% of its rated value, the percentage of the rated value by which the power would decrease is
Options:
A) 10 \%
B) 2.5 \%
C) 15 \%
D) 5 \%
39
MediumCOMEDK2025
The resistance of a wire is 5 ohm at 25^{\circ} \mathrm{C} and 7 ohm at 100^{\circ} \mathrm{C}. The resistance of the wire at 0^{\circ} \mathrm{C} is
Options:
A) \frac{13}{3} \mathrm{ohm}
B) \frac{5}{3} \mathrm{ohm}
C) \frac{2}{3} ohm
D) 0.1 ohm
40
MediumCOMEDK2024
Three bulbs of $40 \mathrm{~W}, 60 \mathrm{~W}, and 100 \mathrm{~W} are arranged in series with a 220 \mathrm{~V}$ source. The maximum light is obtained from
Options:
A) 40 W
B) 60 W
C) All give the same light
D) 100 W
41
MediumCOMEDK2024
The resistance of a $10 \mathrm{~m} long wire is 10 \Omega. Its length is increased by 25 \%$ by stretching the wire uniformly. The new resistance is
Options:
A) 18.6 \Omega
B) 15.6 \Omega
C) 12.8 \Omega
D) 14.9 \Omega
42
MediumCOMEDK2024
Four resistors, each of resistance R, are connected as shown in the figure below.
Options:
A) The total resistance between points 1 and 3 is 0.5 R.
B) The total resistance between points 1 and 6 is $3.5 \mathrm{R}$.
C) The total resistance between points 3 and 6 is 2 R.
D) The total resistance between points 2 and 4 is $0.5 \mathrm{~R}$.
43
MediumCOMEDK2024
A voltmeter of resistance $1000 \Omega .0 .5 \mathrm{~V} / div is to be converted into a voltmeter to make it to read =1 \mathrm{~V} / \mathrm{div}$. The value of high resistance to be connected in series with it is
Options:
A) 6000 \Omega
B) 5000 \Omega
C) 4000 \Omega
D) 1000 \Omega
44
MediumCOMEDK2024
The resistance of a wire at room temperature $20^{\circ} \mathrm{C} is found to be 10 \Omega. If resistance of the wire increases by 10 \%, then the temperature of the wire will be (The temperature coefficient of the material of the wire is 0.002 /{ }^{\circ} \mathrm{C}$)
Options:
A) 52^0 \mathrm{C}
B) 22^0 \mathrm{C}
C) 62^0 \mathrm{C}
D) 72^0 \mathrm{C}
45
MediumCOMEDK2024
The potential difference between the points $\mathrm{P} and \mathrm{Q}$ of the arrangement shown in figure is
Options:
A) -9.3$ V
B) 42 V
C) -42$ V
D) -3.9$ V
46
MediumCOMEDK2024
An electron starting from rest and moving with the velocity $\mathrm{v} through a potential difference \mathrm{V}$ is shown by the graphs below. Identify the correct graph.
Options:
A)
B)
C)
D)
47
MediumCOMEDK2024
Two identical moving coil galvanometers have $10 \Omega resistance and full-scale deflection at 2 \mu \mathrm{A} current. One of them is converted into a voltmeter of range 10 \mathrm{~mV} and the other into an ammeter of range 1 \mathrm{~mA}$ using appropriate resistors. The ratio of resistance of the converted voltmeter to that of the ammeter is
Options:
A) 5000 : 1
B) 2500 : 1
C) 250000 : 1
D) 25000 : 1
48
MediumCOMEDK2024
A wire of uniform cross section and resistance 4 ohms is bent in the shape of square ABCD. Point A is connected to a point $\mathrm{P} on DC by a wire AP of resistance 1 \mathrm{ohm}. When a potential difference is applied between \mathrm{A} and \mathrm{C}, the points \mathrm{B} and \mathrm{P} are seen to be in same potential. What is the resistance of part \mathrm{DP}$ ?
Options:
A)
\sqrt{2}-1
$ Ohm
B) 2 Ohm
C) 1 Ohm
D) Zero Ohm
49
MediumCOMEDK2024
A storage battery of emf $28.0 \mathrm{~V} and internal resistance 0.5 \Omega is being charged by a 140 \mathrm{~V} dc supply using a series resistor of 27.5 \Omega$. The terminal voltage of the battery during charging is
Options:
A) 26V
B) 2V
C) 5V
D) 30V
50
MediumCOMEDK2024
The resistance of the galvanometer and shunt of an ammeter are $90 \mathrm{~ohm} and 10 \mathrm{~ohm}$ respectively, then the fraction of the main current passing through the galvanometer and the shut respectively are:
Options:
A) \frac{1}{90} and \frac{1}{10}
B) \frac{1}{10} and \frac{1}{90}
C) \frac{1}{10} and \frac{9}{10}
D) \frac{9}{10} and \frac{1}{10}
51
MediumCOMEDK2024
A $500 \mathrm{~W} heating unit is designed to operate on a 400 \mathrm{~V} line. If line voltage drops to 160 \mathrm{~V}$, the percentage drop in heat output will be:
Options:
A) 74%
B) 85%
C) 84%
D) 75%
52
MediumCOMEDK2024
A cell of emf E and internal resistance r is connected to two external resistances $\mathrm{R_1} and \mathrm{R_2} and a perfect ammeter. The current in the circuit is measured in four different situations: (a) without any external resistance in the circuit. (b) with resistance \mathrm{R_1} only (c) with \mathrm{R_1} and \mathrm{R_2} in series combination. (d) with \mathrm{R_1} and \mathrm{R_2}$ in parallel combination. The currents measured in the four cases in ascending order are
Options:
A) c < b < d < a
B) a < b < d < c
C) c < d < b < a
D) a < d < b < c
53
MediumCOMEDK2024
The current through a conductor is '$\mathrm{a}' when the temperature is 0^{\circ} \mathrm{C}. It is '\mathrm{b}' when the temperature is 100^{\circ} \mathrm{C}. The current through the conductor at 220^{\circ} \mathrm{C}$ is
Options:
A) \frac{5 a b}{11 b-6 a}
B) \frac{5 a b}{6 a-11 b}
C) \frac{5 a b}{11 a-6 b}
D) \frac{11 a b}{5 a-6 b}
54
MediumCOMEDK2024
On increasing the temperature of a conductor, its resistance increases because
Options:
A) Electron density decreases
B) Relaxation time increases
C) Number of collisions between electrons decreases
D) Relaxation time decreases
55
MediumCOMEDK2023
A galvanometer having a resistance of $8 \Omega is shunted by a wire of resistance 2 \Omega. If the total current is 1 \mathrm{~A}$, the part of it passing through the shunt will be
Options:
A) 0.25 A
B) 0.8 A
C) 0.2 A
D) 0.5 A
56
MediumCOMEDK2023
Two cells with the same emf $E and different internal resistances r_1 and r_2 are connected in series to an external resistance R. If the potential difference across the first cell is zero then value of R$.
Options:
A) \sqrt{r_1 r_2}
B) r_1+r_2
C) r_1-r_2
D) \frac{r_1+r_2}{2}
57
MediumCOMEDK2023
The current sensitivity of a galvanometer having 20 divisions is $10 \mu \mathrm{A} / div. If the resistance of the galvanometer is 100 \Omega then the value of the resistance to be used to convert this galvanometer in to an voltmeter to read up to 1 \mathrm{~V}$ is :
Options:
A) 4 \times 10^{-6} \Omega$ in series with the galvanometer.
B) 4900 \Omega$ in parallel with the galvanometer.
C) 4 \times 10^{-3} \Omega$ in series with the galvanometer.
D) 4900 \Omega$ in series with the galvanometer.
58
MediumCOMEDK2023
The electric flux from cube of side $1 \mathrm{~m} is '\Phi' When the side of the cube is made 3 \mathrm{~m}$ and the charge enclosed by the cube is made one third of the original value, then the flux from the bigger cube will be :
Options:
A) \frac{\Phi}{3}
B) \Phi
C) 3 \Phi
D) 9 \Phi
59
MediumCOMEDK2023
A resistor of wire $24 \mathrm{~cm} length and resistance 8 \Omega is stretched in to a uniform wire of 48 \mathrm{~cm}$ length, then the new resistance will be :
Options:
A) 32 \Omega
B) 8 \Omega
C) 16 \Omega
D) 4 \Omega
60
MediumCOMEDK2023
The SI unit of electrical conductivity is :
Options:
A) S m
B) \Omega \mathrm{~m}
C) \mathrm{S} \mathrm{~m}^{-1}
D) \Omega \mathrm{~m}^{-1}
61
MediumCOMEDK2023
The current passing through the 100$\Omega$ resistor in the given electrical circuit is :
Options:
A) 0.08 A
B) 0.01 A
C) 0.1 A
D) 0.12 A
62
MediumCOMEDK2023
A battery is made of 12 cells having emf $5 \mathrm{~V}$ each. If three cells are unknowingly connected wrong, the resultant emf of the battery will be:
Options:
A) 90V
B) 30V
C) 60V
D) 45V
63
MediumCOMEDK2023
The current drawn by the primary coil of an ideal transformer, which steps up $22 \mathrm{~V} into 220 \mathrm{~V}, to operate a device having a load resistance 110 \Omega$ is:
Options:
A) 20 A
B) 1 A
C) 2 A
D) 10 A
64
MediumCOMEDK2022
A galvanometer having a resistance of 4 $\Omega is shunted by a wire of resistance 2 \Omega$. If the total current is 1.5 A, the current passing through shunt is
Options:
A) 1.25 A
B) 1 A
C) 0.75 A
D) 0.5 A
65
MediumCOMEDK2022
A cell of emf 2 V is connected with a load of resistance 1.5 $\Omega$. The power delivered by the cell to the load is maximum, then power transferred to the load is
Options:
A) 0.33 W
B) 2.67 W
C) 1.33 W
D) 3.25 W
66
MediumCOMEDK2021
The resistance of a wire is R ohm. If it is melted and stretched to n times its original length, its new resistance will be
Options:
A) nR
B) {R \over n}
C) {n^2}R
D) {R \over {{n^2}}}
67
MediumCOMEDK2021
For the given electrical arrangement, what is the value of current I?
Options:
A) 6A
B) 5A
C) 7A
D) 8A
68
MediumCOMEDK2020
If voltage $V=(200\pm 8)V and current I=(20\pm0.5)A$, then the percentage error in resistance R is
Options:
A) 5.2%
B) 25%
C) 3%
D) 6.5%
69
MediumCOMEDK2020
Point out the right statements about the validity of Kirchhoff’s junction rule,
Options:
A) it is based on conservation of charge.
B) outgoing currents add up and are equal to incoming currents at a junction.
C) bending or reorienting the wire does not change the validity of Kirchhoff's junction rule.
D) All of the above.
70
MediumCOMEDK2020
If $P=Q=R=10\Omega and S=20\Omega$, then what resistance should be joined with S to balance the Wheatstone's network?
Options:
A) Join a resistance of 10$\Omega$ in series with S
B) Join a resistance of 10$\Omega$ in parallel with S
C) Join a resistance of 20$\Omega$ in parallel with S
D) Join a resistance of 20$\Omega$ in series with S
71
MediumCOMEDK2020
To the potentiometer wire of length L and 10$\Omega resistance, a battery of emf 2.5 V and a resistance R are connected in series. If a potential difference of 1 V is balanced across L/2 length, the value of R in \Omega$ will be
Options:
A) 1
B) 1.5
C) 2
D) 2.5
72
MediumInteger TypeJEE Mains2026
Two cells of emfs 1 V and 2 V and internal resistance 2 \Omega and 1 \Omega, respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be \frac{\alpha}{5} \mathrm{~A}. The value of \alpha is \_\_\_\_.
Answer: Enter a numeric value
73
MediumInteger TypeJEE Mains2026
Refer to the circuit diagram given below. The heat generated across the 6 \Omega resistance in 100 second is \frac{\alpha}{100} \mathrm{~J}. The value of \alpha is \_\_\_\_ . (Nearest integer)
Answer: Enter a numeric value
74
MediumInteger TypeJEE Mains2026
When an external resistance of 5 \Omega is connected across terminals of a cell, a current of 0.25 A flows through it. When the 5 \Omega resistor is replaced by a 2 \Omega resistor, a current of 0.5 A flows through it. The internal resistance of the cell is \_\_\_\_ \Omega.
Answer: Enter a numeric value
75
MediumInteger TypeJEE Mains2026
The equivalent resistance between the points A and B in the following circuit is \frac{x}{5} \Omega. The value of x is \_\_\_\_ .
Answer: Enter a numeric value
76
MediumInteger TypeJEE Mains2026
In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2 \Omega and 3 \Omega are connected in the left and right gaps of the bridge and the null point is obtained at a distance l \mathrm{~cm} from the left. Now when an unknown resistance x \Omega is connected in parallel to 3 \Omega resistance, the null point is shifted by 10 cm to the right of wire. The value of unknown resistance x is \_\_\_\_ \Omega.
Answer: Enter a numeric value
77
MediumInteger TypeJEE Mains2026
A cylindrical conductor of length 2 m and area of cross-section 0.2 \mathrm{~mm}^2 carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons in the conductor is \alpha \times 10^{-3} \mathrm{~m}^2 / \mathrm{V} . \mathrm{s}. The value of \alpha is : (electron concentration =5 \times 10^{28} / \mathrm{m}^3 and electron charge =1.6 \times 10^{-19} \mathrm{C} )
Answer: Enter a numeric value
78
MediumInteger TypeJEE Mains2026
The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9 V with internal resistance of 1 \Omega is connected across these points is \_\_\_\_ J.
Answer: Enter a numeric value
79
MediumInteger TypeJEE Mains2025
Two cells of emfs 1 V and 2 V and internal resistances 2 \Omega and 1 \Omega, respectively, are connected in series with an external resistance of 6 \Omega. The total current in the circuit is I_1. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is \mathrm{I}_2. The value of \left(\frac{\mathrm{I}_1}{\mathrm{I}_2}\right) is \frac{x}{3}. The value of x is___________.
Answer: Enter a numeric value
80
MediumInteger TypeJEE Mains2025
In the figure shown below, a resistance of 150.4 \Omega is connected in series to an ammeter A of resistance 240 \Omega. A shunt resistance of 10 \Omega is connected in parallel with the ammeter. The reading of the ammeter is___________mA .
Answer: Enter a numeric value
81
EasyInteger TypeJEE Mains2025
The value of current I in the electrical circuit as given below, when potential at A is equal to the potential at B, will be _______ A.
Answer: Enter a numeric value
82
EasyInteger TypeJEE Mains2025
A wire of resistance 9 \Omega is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _________ ohm.
Answer: Enter a numeric value
83
EasyInteger TypeJEE Mains2025
The net current flowing in the given circuit is __________ A.
Answer: Enter a numeric value
84
MediumInteger TypeJEE Mains2024
To determine the resistance (R) of a wire, a circuit is designed below. The $V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of R is _________ \Omega$.
Answer: Enter a numeric value
85
EasyInteger TypeJEE Mains2024
At room temperature $(27^{\circ} \mathrm{C}), the resistance of a heating element is 50 \Omega. The temperature coefficient of the material is 2.4 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}. The temperature of the element, when its resistance is 62 \Omega, is __________{ }^{\circ} \mathrm{C}$.
Answer: Enter a numeric value
86
MediumInteger TypeJEE Mains2024
The current flowing through the $1 \Omega resistor is \frac{n}{10} A. The value of n$ is _______.
Answer: Enter a numeric value
87
MediumInteger TypeJEE Mains2024
A heater is designed to operate with a power of $1000 \mathrm{~W} in a 100 \mathrm{~V} line. It is connected in combination with a resistance of 10 \Omega and a resistance R, to a 100 \mathrm{~V} mains as shown in figure. For the heater to operate at 62.5 \mathrm{~W}, the value of \mathrm{R} should be _______ \Omega$.
Answer: Enter a numeric value
88
MediumInteger TypeJEE Mains2024
Resistance of a wire at $0^{\circ} \mathrm{C}, 100^{\circ} \mathrm{C} and t^{\circ} \mathrm{C} is found to be 10 \Omega, 10.2 \Omega and 10.95 \Omega respectively. The temperature t$ in Kelvin scale is _________.
Answer: Enter a numeric value
89
MediumInteger TypeJEE Mains2024
In the given figure an ammeter A consists of a $240 \Omega coil connected in parallel to a 10 \Omega shunt. The reading of the ammeter is ________ \mathrm{mA}$.
Answer: Enter a numeric value
90
MediumInteger TypeJEE Mains2024
A wire of resistance $R and radius r is stretched till its radius became r / 2. If new resistance of the stretched wire is x ~R, then value of x$ is ________.
Answer: Enter a numeric value
91
EasyInteger TypeJEE Mains2024
A wire of resistance $20 \Omega is divided into 10 equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is _________ \Omega$.
Answer: Enter a numeric value
92
MediumInteger TypeJEE Mains2024
In the experiment to determine the galvanometer resistance by half-deflection method, the plot of $1 / \theta vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvanometer is _________ \times 10^{-1} \mathrm{~A} / division. [The source has emf 2 \mathrm{~V}$]
Answer: Enter a numeric value
93
MediumInteger TypeJEE Mains2024
Two wires $A and B are made up of the same material and have the same mass. Wire A has radius of 2.0 \mathrm{~mm} and wire B has radius of 4.0 \mathrm{~mm}. The resistance of wire B is 2 \Omega. The resistance of wire A is ________ \Omega$.
Answer: Enter a numeric value
94
HardInteger TypeJEE Mains2024
Twelve wires each having resistance $2 \Omega are joined to form a cube. A battery of 6 \mathrm{~V} emf is joined across point a and c. The voltage difference between e and f$ is ________ V.
Answer: Enter a numeric value
95
EasyInteger TypeJEE Mains2024
The current in a conductor is expressed as I=3 t^2+4 t^3, where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor during t=1 \mathrm{~s} to t=2 \mathrm{~s} is __________ C.
Answer: Enter a numeric value
96
EasyInteger TypeJEE Mains2024
In the following circuit, the battery has an emf of $2 \mathrm{~V} and an internal resistance of \frac{2}{3} \Omega$. The power consumption in the entire circuit is _________ W.
Answer: Enter a numeric value
97
EasyInteger TypeJEE Mains2024
Equivalent resistance of the following network is __________ $\Omega$.
Answer: Enter a numeric value
98
MediumInteger TypeJEE Mains2024
Two resistance of $100 \Omega and 200 \Omega are connected in series with a battery of 4 \mathrm{~V} and negligible internal resistance. A voltmeter is used to measure voltage across 100 \Omega resistance, which gives reading as 1 \mathrm{~V}. The resistance of voltmeter must be _______ \Omega$.
Answer: Enter a numeric value
99
EasyInteger TypeJEE Mains2024
Two cells are connected in opposition as shown. Cell $\mathrm{E}_1 is of 8 \mathrm{~V} emf and 2 \Omega internal resistance; the cell \mathrm{E}_2 is of 2 \mathrm{~V} emf and 4 \Omega internal resistance. The terminal potential difference of cell \mathrm{E}_2$ is __________ V.
Answer: Enter a numeric value
100
EasyInteger TypeJEE Mains2024
In the given circuit, the current flowing through the resistance $20 \Omega is 0.3 \mathrm{~A}, while the ammeter reads 0.9 \mathrm{~A}. The value of \mathrm{R}_1 is _________ \Omega$.
Answer: Enter a numeric value
101
EasyInteger TypeJEE Mains2023
A network of four resistances is connected to 9 \mathrm{~V} battery, as shown in figure. The magnitude of voltage difference between the points \mathrm{A} and \mathrm{B} is __________ V.
Answer: Enter a numeric value
102
MediumInteger TypeJEE Mains2023
When a resistance of $5 ~\Omega is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 \mathrm{~mA}, however when 1050 ~\Omega resistance is connected with it in series, it gives full scale deflection for 25 volt. The resistance of galvanometer is ____________ \Omega$.
Answer: Enter a numeric value
103
EasyInteger TypeJEE Mains2023
A potential $\mathrm{V}_{0} is applied across a uniform wire of resistance R. The power dissipation is P_{1}. The wire is then cut into two equal halves and a potential of V_{0} is applied across the length of each half. The total power dissipation across two wires is P_{2}. The ratio P_{2}: \mathrm{P}_{1} is \sqrt{x}: 1. The value of x$ is ___________.
Answer: Enter a numeric value
104
MediumInteger TypeJEE Mains2023
The current flowing through a conductor connected across a source is $2 \mathrm{~A} and 1.2 \mathrm{A} at 0^{\circ} \mathrm{C} and 100^{\circ} \mathrm{C} respectively. The current flowing through the conductor at 50^{\circ} \mathrm{C} will be ___________ \times 10^{2} \mathrm{~mA}$.
Answer: Enter a numeric value
105
EasyInteger TypeJEE Mains2023
Two identical cells each of emf $1.5 \mathrm{~V} are connected in series across a 10 ~\Omega resistance. An ideal voltmeter connected across 10 ~\Omega resistance reads 1.5 \mathrm{~V}. The internal resistance of each cell is __________ \Omega$.
Answer: Enter a numeric value
106
MediumInteger TypeJEE Mains2023
In the circuit diagram shown in figure given below, the current flowing through resistance $3 ~\Omega is \frac{x}{3} A. The value of x$ is ___________
Answer: Enter a numeric value
107
EasyInteger TypeJEE Mains2023
A rectangular parallelopiped is measured as $1 \mathrm{~cm} \times 1 \mathrm{~cm} \times 100 \mathrm{~cm}. If its specific resistance is 3 \times 10^{-7} ~\Omega \mathrm{m}, then the resistance between its two opposite rectangular faces will be ___________ \times 10^{-7} ~\Omega$.
Answer: Enter a numeric value
108
EasyInteger TypeJEE Mains2023
10 resistors each of resistance 10 $\Omega$ can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be ___________.
Answer: Enter a numeric value
109
EasyInteger TypeJEE Mains2023
The number density of free electrons in copper is nearly $8 \times 10^{28} \mathrm{~m}^{-3}. A copper wire has its area of cross section =2 \times 10^{-6} \mathrm{~m}^{2} and is carrying a current of 3.2 \mathrm{~A}. The drift speed of the electrons is ___________ \times 10^{-6} \mathrm{ms}^{-1}
Answer: Enter a numeric value
110
EasyInteger TypeJEE Mains2023
A current of $2 \mathrm{~A} flows through a wire of cross-sectional area 25.0 \mathrm{~mm}^{2}. The number of free electrons in a cubic meter are 2.0 \times 10^{28}. The drift velocity of the electrons is __________ \times 10^{-6} \mathrm{~ms}^{-1} (given, charge on electron =1.6 \times 10^{-19} \mathrm{C}$ ).
Answer: Enter a numeric value
111
MediumInteger TypeJEE Mains2023
As shown in the figure, the voltmeter reads $2 \mathrm{~V} across 5 ~\Omega resistor. The resistance of the voltmeter is _________ \Omega$.
Answer: Enter a numeric value
112
EasyInteger TypeJEE Mains2023
The length of a metallic wire is increased by $20 \% and its area of cross section is reduced by 4 \%$. The percentage change in resistance of the metallic wire is __________.
Answer: Enter a numeric value
113
EasyInteger TypeJEE Mains2023
In the given circuit, the value of $\left| {{{{\mathrm{I_1}} + {\mathrm{I_3}}} \over {{\mathrm{I_2}}}}} \right|$ is _____________
Answer: Enter a numeric value
114
EasyInteger TypeJEE Mains2023
In an experiment to find emf of a cell using potentiometer, the length of null point for a cell of emf $1.5 \mathrm{~V} is found to be 60 \mathrm{~cm}. If this cell is replaced by another cell of emf E, the length-of null point increases by 40 \mathrm{~cm}. The value of E is \frac{x}{10} V. The value of x$ is ____________.
Answer: Enter a numeric value
115
MediumInteger TypeJEE Mains2023
Two identical cells, when connected either in parallel or in series gives same current in an external resistance $5 ~\Omega. The internal resistance of each cell will be ___________ \Omega$.
Answer: Enter a numeric value
116
MediumInteger TypeJEE Mains2023
If the potential difference between \mathrm{B} and \mathrm{D} is zero, the value of x is \frac{1}{n} \Omega. The value of n is __________.
Answer: Enter a numeric value
117
MediumInteger TypeJEE Mains2023
In the following circuit, the magnitude of current I 1 , is ___________ A.
Answer: Enter a numeric value
118
MediumInteger TypeJEE Mains2023
A null point is found at 200 cm in potentiometer when cell in secondary circuit is shunted by 5$\Omega. When a resistance of 15\Omega is used for shunting, null point moves to 300 cm. The internal resistance of the cell is ___________\Omega$.
Answer: Enter a numeric value
119
MediumInteger TypeJEE Mains2023
When two resistance $\mathrm{R_1} and \mathrm{R_2} connected in series and introduced into the left gap of a meter bridge and a resistance of 10 \Omega is introduced into the right gap, a null point is found at 60 cm from left side. When \mathrm{R_1} and \mathrm{R_2} are connected in parallel and introduced into the left gap, a resistance of 3 \Omega is introduced into the right gap to get null point at 40 cm from left end. The product of \mathrm{R_1} \mathrm{R_2} is ____________\Omega^2
Answer: Enter a numeric value
120
MediumInteger TypeJEE Mains2023
In a metre bridge experiment the balance point is obtained if the gaps are closed by 2$\Omega and 3\Omega. A shunt of X \Omega is added to 3\Omega$ resistor to shift the balancing point by 22.5 cm. The value of X is ___________.
Answer: Enter a numeric value
121
MediumInteger TypeJEE Mains2023
Two cells are connected between points A and B as shown. Cell 1 has emf of 12 V and internal resistance of 3$\Omega. Cell 2 has emf of 6V and internal resistance of 6\Omega. An external resistor R of 4\Omega$ is connected across A and B. The current flowing through R will be ____________ A.
Answer: Enter a numeric value
122
MediumInteger TypeJEE Mains2023
In the given circuit, the equivalent resistance between the terminal A and B is __________ $\Omega$.
Answer: Enter a numeric value
123
MediumInteger TypeJEE Mains2023
If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is __________%.
Answer: Enter a numeric value
124
EasyInteger TypeJEE Mains2023
A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively. The resistance of the conductor is $n\times10^{-3}\Omega. If the resistivity of the material is \mathrm{2.4\times10^{-8}\Omega m}. The value of n$ is ___________.
Answer: Enter a numeric value
125
EasyInteger TypeJEE Mains2022
The current I flowing through the given circuit will be __________A.
Answer: Enter a numeric value
126
EasyInteger TypeJEE Mains2022
An electrical bulb rated 220 V, 100 W, is connected in series with another bulb rated 220 V, 60 W. If the voltage across combination is 220 V, the power consumed by the 100 W bulb will be about _______ W.
Answer: Enter a numeric value
127
MediumInteger TypeJEE Mains2022
As shown in the figure, a potentiometer wire of resistance $20 \,\Omega and length 300 \mathrm{~cm} is connected with resistance box (R.B.) and a standard cell of emf 4 \mathrm{~V}. For a resistance 'R' of resistance box introduced into the circuit, the null point for a cell of 20 \,\mathrm{mV} is found to be 60 \mathrm{~cm}. The value of 'R' is ___________ \Omega .
Answer: Enter a numeric value
128
MediumInteger TypeJEE Mains2022
In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is $40 \mathrm{~cm}. The balancing length, if the radius of the wire \mathrm{AB} is doubled, will be ______________ \mathrm{cm}$.
Answer: Enter a numeric value
129
EasyInteger TypeJEE Mains2022
In a meter bridge experiment, for measuring unknown resistance 'S', the null point is obtained at a distance $30 \mathrm{~cm} from the left side as shown at point D. If R is 5.6 \mathrm{k} \Omega, then the value of unknown resistance 'S' will be __________ \Omega$.
Answer: Enter a numeric value
130
MediumInteger TypeJEE Mains2022
A $1 \mathrm{~m} long copper wire carries a current of 1 \mathrm{~A}. If the cross section of the wire is 2.0 \mathrm{~mm}^{2} and the resistivity of copper is 1.7 \times 10^{-8}\, \Omega \mathrm{m}, the force experienced by moving electron in the wire is ____________ \times 10^{-23} \mathrm{~N}. (charge on electorn =1.6 \times 10^{-19} \,\mathrm{C}$)
Answer: Enter a numeric value
131
MediumInteger TypeJEE Mains2022
A potentiometer wire of length $300 \mathrm{~cm} is connected in series with a resistance 780 \Omega and a standard cell of emf 4 \mathrm{V}. A constant current flows through potentiometer wire. The length of the null point for cell of emf 20\, \mathrm{mV} is found to be 60 \mathrm{~cm}. The resistance of the potentiometer wire is ____________ \Omega$.
Answer: Enter a numeric value
132
MediumInteger TypeJEE Mains2022
Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length $l_{1} is 40 \mathrm{~cm}. Now an unknown resistance x is connected in series with \mathrm{P} and new balancing length is found to be 80 \mathrm{~cm} measured from the same end. Then the value of x will be ____________ \Omega$.
Answer: Enter a numeric value
133
EasyInteger TypeJEE Mains2022
In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire. This cell is now replaced by another cell of emf 1.80 V. The difference in balancing length of potentiometer wire in above conditions will be ___________ cm.
Answer: Enter a numeric value
134
EasyInteger TypeJEE Mains2022
In the given figure, the value of V o will be _____________ V.
Answer: Enter a numeric value
135
MediumInteger TypeJEE Mains2022
Eight copper wire of length $l and diameter d are joined in parallel to form a single composite conductor of resistance R. If a single copper wire of length 2 l have the same resistance (R)$ then its diameter will be ____________ d.
Answer: Enter a numeric value
136
MediumInteger TypeJEE Mains2022
The circuit diagram of potentiometer used to measure the internal resistance of a cell (E) is shown in figure. The key 'K' is kept closed so as to send constant current through potentiometer wire. When key 'K 1 ' is kept open the null point is found to be at 120 cm on the potentiometer wire. When the key 'K 1 ' is closed the null point is shifted at 80 cm at the potentiometer wire. The internal resistance of the given cell is _____________ $\Omega$.
Answer: Enter a numeric value
137
MediumInteger TypeJEE Mains2022
Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance 2000 $\Omega is used to measure the potential difference across 500 \Omega$ resistor, the reading of the voltmeter will be ___________ V.
Answer: Enter a numeric value
138
EasyInteger TypeJEE Mains2022
The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31.4 cm. The diameter of wire is measured as 2.4 cm. The resistivity of the given wire is measured as x $\times 10 -3 \Omega cm. The value of x is ____________. [Take \pi$ = 3.14]
Answer: Enter a numeric value
139
EasyInteger TypeJEE Mains2022
For the network shown below, the value of V B $-$ V A is ____________ V.
Answer: Enter a numeric value
140
MediumInteger TypeJEE Mains2022
All resistances in figure are 1 $\Omega each. The value of current 'I' is {a \over 5}$ A. The value of a is _________.
Answer: Enter a numeric value
141
EasyInteger TypeJEE Mains2022
A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 15 $\Omega. The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end correction for end A is 2 cm, then the determined value of R will be ____________ \Omega$.
Answer: Enter a numeric value
142
MediumInteger TypeJEE Mains2022
Current measured by the ammeter (A) in the reported circuit when no current flows through 10 $\Omega$ resistance, will be ________________ A.
Answer: Enter a numeric value
143
EasyInteger TypeJEE Mains2022
The current density in a cylindrical wire of radius r = 4.0 mm is 1.0 $\times 10 6 A/m 2 . The current through the outer portion of the wire between radial distances {r \over 2} and r is x\pi$ A; where x is __________.
Answer: Enter a numeric value
144
HardInteger TypeJEE Mains2022
In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum, will be $\sqrt {{x \over 2}} $. The value of x is __________.
Answer: Enter a numeric value
145
MediumInteger TypeJEE Mains2022
A cell, shunted by a 8 $\Omega resistance, is balanced across a potentiometer wire of length 3 m. The balancing length is 2 m when the cell is shunted by 4 \Omega resistance. The value of internal resistance of the cell will be ____________ \Omega$.
Answer: Enter a numeric value
146
EasyInteger TypeJEE Mains2022
The current density in a cylindrical wire of radius 4 mm is 4 $\times 10 6 Am -2 . The current through the outer portion of the wire between radial distances {R \over 2} and R is ____________ \pi$ A.
Answer: Enter a numeric value
147
EasyInteger TypeJEE Mains2022
The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be ____________ %.
Answer: Enter a numeric value
148
EasyInteger TypeJEE Mains2022
A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increases to 3 A, the energy developed in 10 s is ____________ J.
Answer: Enter a numeric value
149
EasyInteger TypeJEE Mains2022
The total current supplied to the circuit as shown in figure by the 5 V battery is ____________ A.
Answer: Enter a numeric value
150
MediumInteger TypeJEE Mains2022
A potentiometer wire of length 10 m and resistance 20 $\Omega is connected in series with a 25 V battery and an external resistance 30 \Omega. A cell of emf E in secondary circuit is balanced by 250 cm long potentiometer wire. The value of E (in volt) is {x \over {10}}$. The value of x is __________.
Answer: Enter a numeric value
151
EasyInteger TypeJEE Mains2022
In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is 3 : 2, the difference in the balancing length of the potentiometer wire in above two cases will be ___________ cm.
Answer: Enter a numeric value
152
EasyInteger TypeJEE Mains2021
A uniform heating wire of resistance 36$\Omega$ is connected across a potential difference of 240 V. The wire is then cut into half and potential difference of 240V is applied across each half separately. The ratio of power dissipation in first case to the total power dissipation in the second case would be 1 : x, where x is ____________
Answer: Enter a numeric value
153
EasyInteger TypeJEE Mains2021
A resistor dissipates 192 J of energy in 1s when a current of 4A is passed through it. Now, when the current is doubled, the amount of thermal energy dissipated in 5s in _________ J.
Answer: Enter a numeric value
154
EasyInteger TypeJEE Mains2021
A square shaped wire with resistance of each side 3$\Omega is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of \Omega$ will be ___________.
Answer: Enter a numeric value
155
MediumInteger TypeJEE Mains2021
The voltage drop across 15$\Omega$ resistance in the given figure will be ______________ V.
Answer: Enter a numeric value
156
MediumInteger TypeJEE Mains2021
The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x : 8. The value of x is ___________.
Answer: Enter a numeric value
157
MediumInteger TypeJEE Mains2021
First, a set of n equal resistors of 10 $\Omega each are connected in series to a battery of emf 20V and internal resistance 10\Omega$. A current I is observed to flow. Then, the n resistors are connected in parallel to the same battery. It is observed that the current is increased 20 times, then the value of n is ............... .
Answer: Enter a numeric value
158
EasyInteger TypeJEE Mains2021
For the circuit shown, the value of current at time t = 3.2 s will be _________ A. [Voltage distribution V(t) is shown by Fig. (1) and the circuit is shown in Fig. (2)]
Answer: Enter a numeric value
159
MediumInteger TypeJEE Mains2021
A 16 $\Omega wire is bend to form a square loop. A 9V supply having internal resistance of 1\Omega is connected across one of its sides. The potential drop across the diagonals of the square loop is _______________ \times 10 -$1 V
Answer: Enter a numeric value
160
EasyInteger TypeJEE Mains2021
An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The resistance 'R' that must be put in series with the bulb so that the bulb delivers the same power is _____________ $\Omega$.
Answer: Enter a numeric value
161
MediumInteger TypeJEE Mains2021
In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5$\Omega. However, it provides a potential difference of 1 V across a load resistance of 2\Omega. The emf of the cell is given by {x \over {10}}V$. Then the value of x is ______________.
Answer: Enter a numeric value
162
EasyInteger TypeJEE Mains2021
In the given figure switches S 1 and S 2 are in open condition. The resistance across ab when the switches S 1 and S 2 are closed is _____________ $\Omega$.
Answer: Enter a numeric value
163
MediumInteger TypeJEE Mains2021
Two wires of same length and thickness having specific resistances 6$\Omega cm and 3\Omega cm respectively are connected in parallel. The effective resistivity is \rho\Omega cm. The value of \rho$, to the nearest integer, is ____________.
Answer: Enter a numeric value
164
EasyInteger TypeJEE Mains2021
Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm from A. The galvanometer shows zero deflection. The value of x, to the nearest integer, is ___________.
Answer: Enter a numeric value
165
EasyInteger TypeJEE Mains2021
The voltage across the 10$\Omega$ resistor in the given circuit is x volt. The value of 'x' to the nearest integer is _________.
Answer: Enter a numeric value
166
MediumInteger TypeJEE Mains2021
The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equivalent resistance is 'p'. If s = np, then the minimum value for n is ____________. (Round off to the Nearest Integer)
Answer: Enter a numeric value
167
EasyInteger TypeJEE Mains2021
The energy dissipated by a resistor is 10 mJ in 1 s when an electric current of 2 mA flows through it. The resistance is ___________$\Omega$. (Round off to the Nearest Integer)
Answer: Enter a numeric value
168
EasyInteger TypeJEE Mains2021
In the figure given, the electric current flowing through the 5 k$\Omega$ resistor is 'x' mA. The value of x to the nearest integer is ____________.
Answer: Enter a numeric value
169
EasyInteger TypeJEE Mains2021
In an electrical circuit, a battery is connected to pass 20C of charge through it in a certain given time. The potential difference between two plates of the battery is maintained at 15V. The workdone by the battery is __________J.
Answer: Enter a numeric value
170
MediumInteger TypeJEE Mains2021
A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2$\Omega$ each and leaves by the corner R. The currents i 1 in ampere is _________.
Answer: Enter a numeric value
171
EasyInteger TypeJEE Mains2021
In the given circuit of potentiometer, the potential difference E across AB (10 m length) is larger than E 1 and E 2 as well. For key K 1 (closed), the jockey is adjusted to touch the wire at point J 1 so that there is no deflection in the galvanometer. Now the first battery (E 1 ) is replaced by second battery (E 2 ) for working by making K 1 open and K 2 closed. The galvanometer gives then null deflection at J 2 . The value of ${{{E_1}} \over {{E_2}}} is {a \over b}$, where a = _________.
Answer: Enter a numeric value
172
EasyInteger TypeJEE Mains2021
A cylindrical wire of radius 0.5 mm and conductivity 5 $\times 10 7 S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x 3 \pi$ mA. The value of x is _________.
Answer: Enter a numeric value
173
MediumInteger TypeJEE Mains2020
Four resistances 40 $\Omega , 60 \Omega , 90 \Omega and 110 \Omega $ make the arms of a quadrilateral ABCD. Across AC is a battery of emf 40 V and internal resistance negligible.The potential difference across BD in V is _______.
Answer: Enter a numeric value
174
MediumInteger TypeJEE Mains2020
In a meter bridge experiment S is a standard resistance. R is a resistance wire. It is found that balancing length is $l = 25 cm. If R is replaced by a wire of half length and half diameter that of R of same material, then the balancing distance l'$ (in cm) will now be________.
Answer: Enter a numeric value
175
MediumInteger TypeJEE Mains2020
The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20$\Omega and 5\Omega , is connected to the parallel combination of two resistors 30\Omega and R \Omega . The voltage difference across the battery of internal resistance 20\Omega is zero, the value of R (in \Omega $) is : _______
Answer: Enter a numeric value
176
MediumInteger TypeJEE Mains2020
Four resistances of 15$\Omega , 12\Omega , 4\Omega and 10\Omega respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of 10\Omega to balance the network is _____\Omega $.
Answer: Enter a numeric value
177
MediumInteger TypeJEE Mains2020
The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 $\Omega is connected in parallel to the cell, the balancing length changes by 60 cm. If the internal resistance of the ceil is {N \over {10}} \Omega $ , where N is an integer then value of N is .............
Answer: Enter a numeric value
178
MediumJEE Mains2026
Refer to the figure given below. The values of I_1, I_2 and I_3 are \_\_\_\_ .
Options:
A) I_1=2.5 \mathrm{~A}, I_2=1.875 \mathrm{~A}, I_3=1.875 \mathrm{~A}
B) I_1=1.875 \mathrm{~A}, I_2=2.5 \mathrm{~A}, I_3=1.875 \mathrm{~A}
C) I_1=1.875 \mathrm{~A}, I_2=1.875 \mathrm{~A}, I_3=2.5 \mathrm{~A}
D) I_1=2.5 \mathrm{~A}, I_2=2.5 \mathrm{~A}, I_3=1.875 \mathrm{~A}
179
MediumJEE Mains2026
Refer to the figure given below, current between terminals A and B is \_\_\_\_ A.
Options:
A) 12.5
B) 1.25
C) 7.5
D) 5
180
EasyJEE Mains2026
A voltmeter with internal resistance of x \Omega can be used to measure upto 20 V . In order to increase its measuring range to 30 V , the required modification is to \_\_\_\_ .
Options:
A) connect resistor of \frac{x}{2} \Omega, in series with voltmeter.
B) connect resistor of \frac{x}{2} \Omega, in parallel to voltmeter.
C) connect a resistor of x \Omega in series with voltmeter.
D) connect resistor of 2 x \Omega in parallel to voltmeter.
181
EasyJEE Mains2026
The voltage and the current between A and B points shown in the circuit are \_\_\_\_ .
Options:
A) 24 \mathrm{~V}, 12 \mathrm{~A}
B) 24 \mathrm{~V}, 4 \mathrm{~A}
C)
18 \mathrm{~V}, 12 \mathrm{~A}
D) 27 \mathrm{~V}, 4 \mathrm{~A}
182
EasyJEE Mains2026
Two resistors of 200 \Omega and 400 \Omega are connected in series with a battery of 100 V. A bulb rated at 200 V, 100 W is connected across the 400 \Omega resistance. The potential drop across the bulb is ________ V.
Options:
A) 25
B) 50
C) 66.6
D) 100
183
EasyJEE Mains2026
Which one of the following is not a measurable quantity?
Options:
A) Resistance
B) Voltage difference
C) Displacement current
D) Voltage
184
MediumJEE Mains2026
A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances (R_1 = R_2 = R_3 = R_4). When R_3 resistance is heated to some temperature, its resistance value has gone up by 10%. The potential difference (V_a - V_b) (after R_3 is heated) is _________ V.
Options:
A) 1.05
B) 0.95
C) 0
D) 2
185
MediumJEE Mains2026
For the two cells having same EMF E and internal resistance r, the current passing through the external resistor 6 \Omega is same when both the cells are connected either in parallel or in series. The value of internal resistance r is \_\_\_\_ \Omega.
Options:
A) 3
B) 6
C) 4
D) 9
186
MediumJEE Mains2026
In the potentiometer, when the cell in the secondary circuit is shunted with 4 \Omega resistance, the balance is obtained at the length 120 cm of wire. Now when the same cell is shunted with 12 \Omega resistance, the balance is shifted to a length of 180 cm . The internal resistance of cell is \_\_\_\_ \Omega
Options:
A) 4
B) 12
C) 6
D) 3
187
EasyJEE Mains2026
The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is \_\_\_\_ A.
Options:
A) 1/2
B) 1
C) 2
D) 0
188
EasyJEE Mains2026
A moving coil galvanometer of resistance 100 \Omega shows a full scale deflection for a current of 1 mA . The value of resistance required to convert this galvanometer into an ammeter, showing full scale deflection for a current of 5 mA , is \_\_\_\_ \Omega
Options:
A) 25
B) 2.5
C) 0.5
D) 10
189
MediumJEE Mains2026
A regular hexagon is formed by six wires each of resistance r \Omega and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be
Options:
A) \frac{3}{5} r
B) \frac{4}{5} r
C) \frac{5}{8} r
D) \frac{3}{4} r
190
MediumJEE Mains2026
Two resistors of 100 \Omega each are connected in series with a 9 V battery. A voltmeter of 400 \Omega resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is \_\_\_\_ V.
Options:
A) 3
B) 2
C) 4
D) 4.5
191
MediumJEE Mains2026
Two resistors 2 \Omega and 3 \Omega are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire X Y. When an unknown resistor is connected in parallel with 3 \Omega resistor, the null point is shifted by 22.5 cm toward Y. The resistance of unknown resistor is \_\_\_\_ \Omega.
Options:
A) 3
B) 1
C) 4
D) 2
192
MediumJEE Mains2026
To compare EMF of two cells using potentiometer the balancing lengths obtained are 200 cm and 150 cm . The least count of scale is 1 cm . The percentage error in the ratio of EMFs is \_\_\_\_
Options:
A) 1.75
B) 1.55
C) 1.17
D) 1.65
193
MediumJEE Mains2026
A wire of uniform resistance \lambda \Omega / \mathrm{m} is bent into a circle of radius r and another piece of wire with length 2 r is connected between points A and B(\mathrm{AOB}) as shown in figure. The equivalent resistance between points A and B is \_\_\_\_ \Omega.
Options:
A) (\pi+1) 2 r \lambda
B) \frac{6 \pi \lambda r}{3 \pi+16}
C) \frac{3 \pi \lambda r}{8}
D) 2 \pi \lambda r
194
EasyJEE Mains2026
An electric power line having total resistance of 2 \Omega, delivers 1 kW of power at 250 V . The percentage efficiency of transmission line is \_\_\_\_ .
Options:
A) 96.9
B) 92.5
C) 86.5
D) 100
195
MediumJEE Mains2026
A meter bridge with two resistances R_1 and R_2 as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50 cm from the point P, when 16 \Omega resistance is connected in parallel to R_2. The values of resistances R_1 and R_2 are \_\_\_\_ .
Options:
A) R_2=8 \Omega, R_1=\frac{16}{3} \Omega
B) R_2=12 \Omega, R_1=\frac{12}{3} \Omega
C) R_2=4 \Omega, R_1=\frac{4}{3} \Omega
D) R_2=16 \Omega, R_1=\frac{16}{3} \Omega
196
MediumJEE Mains2026
Two known resistances of R\ \Omega and 2R\ \Omega and one unknown resistance X\ \Omega are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is X\ \Omega, then the value of X is __________ \Omega.
Options:
A) 2(\sqrt{3} - 1)R
B) R
C) (\sqrt{3} - 1)R
D) (\sqrt{3} + 1)R
197
MediumJEE Mains2026
The total length of potentiometer wire AB is 50 cm in the arrangement as shown in the figure. If P is the point where the galvanometer shows zero reading then the length AP is ________ cm.
Options:
A) 25
B) 30
C) 15
D) 20
198
EasyJEE Mains2026
A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when:
Options:
A) R = \sqrt{2} \, r
B) R = 2r
C) R = \frac{r}{2}
D) R = r
199
MediumJEE Mains2025
A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is R / n. The value of n is :
Options:
A) 16
B) 10
C) 12
D) 14
200
EasyJEE Mains2025
There are ' n ' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the combination is :
Options:
A) np
B) p
C) \frac{\mathrm{p}}{\mathrm{n}^2}
D) \frac{p}{n}
201
EasyJEE Mains2025
From the combination of resistors with resistances values R_1=R_2=R_3=5 \Omega and R_4=10 \Omega, which of the following combination is the best circuit to get an equivalent resistance of 6 \Omega ?
Options:
A)
B)
C)
D)
202
EasyJEE Mains2025
Current passing through a wire as function of time is given as I(t)=0.02 t+0.01 \mathrm{~A}. The charge that will flow through the wire from t=1 \mathrm{~s} to t=2 \mathrm{~s} is
Options:
A) 0.02 C
B) 0.07 C
C) 0.06 C
D) 0.04 C
203
EasyJEE Mains2025
A motor operating on 100 V draws a current of 1 A . If the efficiency of the motor is 91.6 \%, then the loss of power in units of \mathrm{cal} / \mathrm{s} is
Options:
A) 6.2
B) 2
C) 8.4
D) 4
204
EasyJEE Mains2025
A wire of length 25 m and cross-sectional area 5 \mathrm{~mm}^2 having resistivity of 2 \times 10^{-6} \Omega \mathrm{~m} is bent into a complete circle. The resistance between diametrically opposite points will be
Options:
A) 100 \Omega
B) 2.5 \Omega
C) 12.5 \Omega
D) 50 \Omega
205
EasyJEE Mains2025
The battery of a mobile phone is rated as 4.2 \mathrm{~V}, 5800 \mathrm{~mAh}. How much energy is stored ir it when fully charged?
Options:
A) 87.7 kJ
B) 43.8 kJ
C) 48.7 kJ
D) 24.4 kJ
206
MediumJEE Mains2025
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) . Assertion (A) : Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent mercury-tube fittings. If household electric power is directly connected to a mercury tube, the tube will be damaged. Reason (R): By using the choke coil, the voltage across the tube is reduced by a factor \left(R / \sqrt{R^2+\omega^2 L^2}\right), where \omega is frequency of the supply across resistor R and inductor L. If the choke coil were not used, the voltage across the resistor would be the same as the applied voltage. In the light of the above statements, choose the most appropriate answer from the options given below :
Options:
A) (A) is true but (R) is false
B) Both (\mathbf{A}) and (\mathbf{R}) are true and (\mathbf{R}) is the correct explanation of (\mathbf{A}) 3.
C) Both (\mathbf{A}) and (\mathbf{R}) are true but (\mathbf{R}) is not the correct explanation of (\mathbf{A})
D) (A) is false but (R) is true
207
MediumJEE Mains2025
In the circuit shown here, assuming threshold voltage of diode is negligibly small, then voltage V_{AB} is correctly represented by:
Options:
A)
B)
C) V_{AB} would be zero at all times.
D)
208
MediumJEE Mains2025
Find the equivalent resistance between two ends of the following circuit
Options:
A) r
B) \frac{\mathrm{r}}{6}
C) \frac{\mathrm{r}}{3}
D) \frac{r}{9}
209
MediumJEE Mains2025
A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is
Options:
A) 8 / 9
B) 9 / 8
C) 32 / 27
D) 27 / 32
210
EasyJEE Mains2025
A galvanometer having a coil of resistance 30 \Omega need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be \frac{30}{X} \Omega, where X is
Options:
A) 447
B) 298
C) 149
D) 596
211
MediumJEE Mains2025
Consider a moving coil galvanomenter (MCG): A. The torsional constant in moving coil galvanometer has dimensions \left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right] B. Increasing the current sensitivity may not necessarily increase the voltage sensitivity. C. If we increase number of turns (\mathrm{N}) to its double (2 \mathrm{~N}), then the voltage sensitivity doubles. D. MCG can be converted into an ammeter by introducing a shunt resistance of large value in parallel with galvanometer. E. Current sensitivity of MCG depends inversely on number of turns of coil. Choose the correct answer from the options given below:
Options:
A) A, D Only
B) A, B Only
C) A, B, E Only
D) B, D, E Only
212
EasyJEE Mains2025
Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II : The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries. In the light of the above statements, choose the correct answer from the options given below.
Options:
A) Statement-I is false but Statement-II is true
B) Statement-I is true but Statement-II is false
C) Both Statement-I and Statement-II are false
D) Both Statement-I and Statement-II are true
213
EasyJEE Mains2025
Which of the following resistivity ( \rho ) \mathrm{v} / \mathrm{s} temperature ( T ) curves is most suitable to be used in wire bound standard resistors?
Options:
A)
B)
C)
D)
214
MediumJEE Mains2025
Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance R_p=1 \Omega as shown in the figure. An external resistance of R_e=2 \Omega is connected via the sliding contact. The electric current in the circuit is :
Options:
A) 1.35 A
B) 0.9 A
C) 1.0 A
D) 0.3 A
215
MediumJEE Mains2024
The effective resistance between $A and B, if resistance of each resistor is R$, will be :
Options:
A) \frac{8 R}{3}
B) \frac{4 R}{3}
C) \frac{2}{3} R
D) \frac{5 R}{3}
216
EasyJEE Mains2024
A galvanometer has a coil of resistance $200 \Omega with a full scale deflection at 20 \mu \mathrm{A}. The value of resistance to be added to use it as an ammeter of range (0-20) \mathrm{mA}$ is :
Options:
A) 0.40\Omega
B) 0.10\Omega
C) 0.20\Omega
D) 0.50\Omega
217
MediumJEE Mains2024
The equivalent resistance between A and B is :
Options:
A) 18 $\Omega
B) 27 $\Omega
C) 19 $\Omega
D) 25 $\Omega
218
MediumJEE Mains2024
Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be _________ to __________ times of its initial length if the water is to be boiled in 15 minutes.
Options:
A) increased, $\frac{3}{4}
B) increased, $\frac{4}{3}
C) decreased, $\frac{3}{4}
D) decreased, $\frac{4}{3}
219
EasyJEE Mains2024
In the given circuit, the terminal potential difference of the cell is :
Options:
A) 3 V
B) 4 V
C) 2 V
D) 1.5 V
220
EasyJEE Mains2024
The number of electrons flowing per second in the filament of a $110 \mathrm{~W} bulb operating at 220 \mathrm{~V} is : (Given \mathrm{e}=1.6 \times 10^{-19} \mathrm{C}$)
Options:
A) 1.25 \times 10^{19}
B) 31.25 \times 10^{17}
C) 6.25 \times 10^{18}
D) 6.25 \times 10^{17}
221
EasyJEE Mains2024
The value of unknown resistance $(x) for which the potential difference between B and D$ will be zero in the arrangement shown, is :
Options:
A) 3 $\Omega
B) 42 $\Omega
C) 6 $\Omega
D) 9 $\Omega
222
EasyJEE Mains2024
The ratio of heat dissipated per second through the resistance $5 \Omega and 10 \Omega$ in the circuit given below is:
Options:
A) 4 : 1
B) 2 : 1
C) 1 : 2
D) 1 : 1
223
MediumJEE Mains2024
A galvanometer of resistance $100 \Omega when connected in series with 400 \Omega measures a voltage of upto 10 \mathrm{~V}. The value of resistance required to convert the galvanometer into ammeter to read upto 10 \mathrm{~A} is x \times 10^{-2} \Omega. The value of x$ is :
Options:
A) 2
B) 20
C) 800
D) 200
224
EasyJEE Mains2024
In the given figure $\mathrm{R}_1=10 \Omega, \mathrm{R}_2=8 \Omega, \mathrm{R}_3=4 \Omega and \mathrm{R}_4=8 \Omega. Battery is ideal with emf 12 \mathrm{~V}$. Equivalent resistant of the circuit and current supplied by battery are respectively :
Options:
A) 12 \Omega and 11.4 \mathrm{~A}
B) 10.5 \Omega and 1.14 \mathrm{~A}
C) 10.5 \Omega and 1 \mathrm{~A}
D) 12 \Omega and 1 \mathrm{~A}
225
EasyJEE Mains2024
An electric bulb rated $50 \mathrm{~W}-200 \mathrm{~V} is connected across a 100 \mathrm{~V}$ supply. The power dissipation of the bulb is:
Options:
A) 100 W
B) 50 W
C) 12.5 W
D) 25 W
226
MediumJEE Mains2024
To measure the internal resistance of a battery, potentiometer is used. For $R=10 \Omega, the balance point is observed at l=500 \mathrm{~cm} and for \mathrm{R}=1 \Omega the balance point is observed at l=400 \mathrm{~cm}$. The internal resistance of the battery is approximately :
Options:
A) 0.1 \Omega
B) 0.3 \Omega
C) 0.2 \Omega
D) 0.4 \Omega
227
MediumJEE Mains2024
In a metre-bridge when a resistance in the left gap is 2 \Omega and unknown resistance in the right gap, the balance length is found to be 40 \mathrm{~cm}. On shunting the unknown resistance with 2 \Omega, the balance length changes by :
Options:
A) 62.5
B) 22.5 \mathrm{~cm}
C) 20 \mathrm{~cm}
D) 65 \mathrm{~cm}
228
MediumJEE Mains2024
In an ammeter, 5 \% of the main current passes through the galvanometer. If resistance of the galvanometer is \mathrm{G}, the resistance of ammeter will be :
Options:
A) 199 \mathrm{~G}
B) 200 \mathrm{~G}
C) \frac{G}{20}
D) \frac{\mathrm{G}}{199}
229
MediumJEE Mains2024
The reading in the ideal voltmeter (\mathrm{V}) shown in the given circuit diagram is :
Options:
A) 3 \mathrm{~V}
B) 10 \mathrm{~V}
C) 5 \mathrm{~V}
D) 0 \mathrm{~V}
230
EasyJEE Mains2024
A galvanometer has a resistance of 50 ~\Omega and it allows maximum current of 5 \mathrm{~mA}. It can be converted into voltmeter to measure upto 100 \mathrm{~V} by connecting in series a resistor of resistance :
Options:
A) 19500 \Omega
B) 5975 \Omega
C) 20050 \Omega
D) 19950 \Omega
231
EasyJEE Mains2024
By what percentage will the illumination of the lamp decrease if the current drops by 20%?
Options:
A) 26%
B) 36%
C) 46%
D) 56%
232
MediumJEE Mains2024
The resistance per centimeter of a meter bridge wire is $r, with X \Omega resistance in left gap. Balancing length from left end is at 40 \mathrm{~cm} with 25 \Omega resistance in right gap. Now the wire is replaced by another wire of 2 r$ resistance per centimeter. The new balancing length for same settings will be at
Options:
A) 10 cm
B) 80 cm
C) 40 cm
D) 20 cm
233
MediumJEE Mains2024
Two conductors have the same resistances at $0^{\circ} \mathrm{C} but their temperature coefficients of resistance are \alpha_1 and \alpha_2$. The respective temperature coefficients for their series and parallel combinations are :
Options:
A) \alpha_1+\alpha_2, \frac{\alpha_1 \alpha_2}{\alpha_1+\alpha_2}
B) \frac{\alpha_1+\alpha_2}{2}, \frac{\alpha_1+\alpha_2}{2}
C) \alpha_1+\alpha_2, \frac{\alpha_1+\alpha_2}{2}
D) \frac{\alpha_1+\alpha_2}{2}, \alpha_1+\alpha_2
234
EasyJEE Mains2024
When a potential difference $V is applied across a wire of resistance R, it dissipates energy at a rate W$. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become:
Options:
A) 1/2W
B) 4W
C) 1/4W
D) 2W
235
EasyJEE Mains2024
A potential divider circuit is shown in figure. The output voltage V$_0$ is :
Options:
A) 2 mV
B) 4 V
C) 0.5 V
D) 12 mV
236
EasyJEE Mains2024
An electric toaster has resistance of $60 \Omega at room temperature \left(27^{\circ} \mathrm{C}\right). The toaster is connected to a 220 \mathrm{~V} supply. If the current flowing through it reaches 2.75 \mathrm{~A}, the temperature attained by toaster is around : ( if \alpha=2 \times 10^{-4}/^\circ \mathrm{C}$)
Options:
A) 1235 $^\circ$C
B) 1667 $^\circ$C
C) 694 $^\circ$C
D) 1694 $^\circ$C
237
EasyJEE Mains2024
In the given circuit, the current in resistance R$_3$ is :
Options:
A) 2 A
B) 1.5 A
C) 1 A
D) 2.5 A
238
MediumJEE Mains2024
The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of $24 \Omega$ is applied. The resistance of galvanometer coil will be :
Options:
A) 48 \Omega
B) 100 \Omega
C) 96 \Omega
D) 12 \Omega
239
EasyJEE Mains2024
A galvanometer having coil resistance $10 \Omega shows a full scale deflection for a current of 3 \mathrm{~mA}. For it to measure a current of 8 \mathrm{~A}$, the value of the shunt should be:
Options:
A) 3.75 \times 10^{-3} \Omega
B) 3 \times 10^{-3} \Omega
C) 4.85 \times 10^{-3} \Omega
D) 2.75 \times 10^{-3} \Omega
240
MediumJEE Mains2024
The electric current through a wire varies with time as $I=I_0+\beta t, where I_0=20 \mathrm{~A} and \beta=3 \mathrm{~A} / \mathrm{s}. The amount of electric charge crossed through a section of the wire in 20 \mathrm{~s}$ is :
Options:
A) 80 C
B) 800 C
C) 1000 C
D) 1600 C
241
EasyJEE Mains2024
Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across $A and B, their readings are V_1, V_2 and V_3$. Choose the correct option.
Options:
A) V_1=V_2
B) V_1 \neq V_3-V_2
C) V_1+V_2=V_3
D) V_1+V_2>V_3
242
EasyJEE Mains2024
A current of $200 \mu \mathrm{A} deflects the coil of a moving coil galvanometer through 60^{\circ}. The current to cause deflection through \frac{\pi}{10}$ radian is :
Options:
A) 120 $\mu$A
B) 180 $\mu$A
C) 30 $\mu$A
D) 60 $\mu$A
243
EasyJEE Mains2024
Wheatstone bridge principle is used to measure the specific resistance $\left(S_1\right) of given wire, having length L, radius r. If X is the resistance of wire, then specific resistance is ; S_1=X\left(\frac{\pi r^2}{L}\right)$. If the length of the wire gets doubled then the value of specific resistance will be :
Options:
A) \frac{S_1}{4}
B) 2 \mathrm{~S}_1
C) \frac{\mathrm{S}_1}{2}
D) S_1
244
MediumJEE Mains2024
A wire of length $10 \mathrm{~cm} and radius \sqrt{7} \times 10^{-4} \mathrm{~m} connected across the right gap of a meter bridge. When a resistance of 4.5 \Omega is connected on the left gap by using a resistance box, the balance length is found to be at 60 \mathrm{~cm} from the left end. If the resistivity of the wire is \mathrm{R} \times 10^{-7} \Omega \mathrm{m}, then value of \mathrm{R}$ is :
Options:
A) 63
B) 70
C) 66
D) 35
245
EasyJEE Mains2024
A wire of resistance $\mathrm{R} and length \mathrm{L}$ is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be :
Options:
A) \frac{1}{25} \mathrm{R}
B) \frac{1}{5} R
C) 25 R
D) 5 R
246
EasyJEE Mains2023
For designing a voltmeter of range 50 \mathrm{~V} and an ammeter of range 10 \mathrm{~mA} using a galvanometer which has a coil of resistance 54 \Omega showing a full scale deflection for 1 \mathrm{~mA} as in figure. (A) for voltmeter R \approx 50 \mathrm{k} \Omega (B) for ammeter \mathrm{r} \approx 0.2 \Omega (C) for ammeter \mathrm{r}=6 \Omega (D) for voltmeter R \approx 5 \mathrm{k} \Omega (E) for voltmeter R \approx 500 \Omega Choose the correct answer from the options given below:
Options:
A) (\mathrm{A}) and (\mathrm{C})
B) (A) and (B)
C) (C) and (E)
D) (C) and (D)
247
EasyJEE Mains2023
Given below are two statements: Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination. Statement II : The resistivity of the material is independent of temperature. In the light of the above statements, choose the correct answer from the options given below :
Options:
A) Statement I is true but Statement II is false
B) Both Statement I and Statement II are true
C) Both Statement I and Statement II are false
D) Statement I is false but Statement II is true
248
EasyJEE Mains2023
Different combination of 3 resistors of equal resistance $\mathrm{R}$ are shown in the figures. The increasing order for power dissipation is:
Options:
A) \mathrm{P}_{\mathrm{B}}<\mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{D}}<\mathrm{P}_{\mathrm{A}}
B) \mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{B}}<\mathrm{P}_{\mathrm{A}}<\mathrm{P}_{\mathrm{D}}
C) \mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{D}}<\mathrm{P}_{\mathrm{A}}<\mathrm{P}_{\mathrm{B}}
D) \mathrm{P}_{\mathrm{A}}<\mathrm{P}_{\mathrm{B}}<\mathrm{P}_{\mathrm{C}}<\mathrm{P}_{\mathrm{D}}
249
EasyJEE Mains2023
A wire of resistance $160 ~\Omega$ is melted and drawn in a wire of one-fourth of its length. The new resistance of the wire will be
Options:
A) 640 ~\Omega
B) 40 ~\Omega
C) 16 ~\Omega
D) 10 ~\Omega
250
MediumJEE Mains2023
The current flowing through R$_2$ is :
Options:
A) \frac{1}{2} \mathrm{~A}
B) \frac{1}{3} \mathrm{~A}
C) \frac{1}{4} \mathrm{~A}
D) \frac{2}{3} \mathrm{~A}
251
EasyJEE Mains2023
Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:
Options:
A) 4 : 1
B) 1 : 4
C) 2 : 1
D) 1 : 2
252
MediumJEE Mains2023
The current sensitivity of moving coil galvanometer is increased by $25 \%$. This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil constant. The percentage change in the voltage sensitivity will be:
Options:
A) +25%
B) -$50%
C) -$25%
D) Zero
253
MediumJEE Mains2023
The equivalent resistance of the circuit shown below between points a and b is :
Options:
A) 16$\Omega
B) 20$\Omega
C) 3.2$\Omega
D) 24$\Omega
254
MediumJEE Mains2023
The equivalent resistance between A and B as shown in figure is:
Options:
A) 30 ~\mathrm{k} \Omega
B) 20 ~\mathrm{k} \Omega
C) 5 ~\mathrm{k} \Omega
D) 10 ~\mathrm{k} \Omega
255
MediumJEE Mains2023
Figure shows a part of an electric circuit. The potentials at points $a, b and c are 30 \mathrm{~V}, 12 \mathrm{~V} and 2 \mathrm{~V} respectively. The current through the 20 ~\Omega$ resistor will be,
Options:
A) 0.2 A
B) 0.6 A
C) 0.4 A
D) 1.0 A
256
MediumJEE Mains2023
A student is provided with a variable voltage source $\mathrm{V}, a test resistor R_{T}=10 ~\Omega, two identical galvanometers G_{1} and G_{2} and two additional resistors, R_{1}=10 ~M \Omega and R_{2}=0.001 ~\Omega$. For conducting an experiment to verify ohm's law, the most suitable circuit is:
Options:
A)
B)
C)
D)
257
EasyJEE Mains2023
Given below are two statements : One is labelled as Assertion $\mathbf{A} and the other is labelled as Reason \mathbf{R}. Assertion A : For measuring the potential difference across a resistance of 600 \Omega, the voltmeter with resistance 1000 \Omega will be preferred over voltmeter with resistance 4000 \Omega$. Reason R : Voltmeter with higher resistance will draw smaller current than voltmeter with lower resistance. In the light of the above statements, choose the most appropriate answer from the options given below.
Options:
A) \mathbf{A} is not correct but \mathbf{R}$ is correct
B) Both $\mathbf{A} and \mathbf{R} are correct and \mathbf{R} is the correct explanation of \mathbf{A}
C) \mathbf{A} is correct but \mathbf{R}$ is not correct
D) Both $\mathbf{A} and \mathbf{R} are correct but \mathbf{R} is not the correct explanation of \mathbf{A}
258
MediumJEE Mains2023
Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be :
Options:
A) \frac{(\mathrm{n}-1) \mathrm{R}}{\mathrm{n}^{2}}
B) \frac{n^{2} R}{n-1}
C) \frac{(n-1) R}{(2 n-1)}
D) \frac{(n-1) R}{n}
259
EasyJEE Mains2023
The equivalent resistance between $A and B$ of the network shown in figure;
Options:
A) 21 R
B) \frac{8}{3}$ R
C) 11$\frac{2}{3}$ R
D) 14 R
260
MediumJEE Mains2023
The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by 50 \%. The percentage change in voltage sensitivity of the galvanometer will be :
Options:
A) 0 \%
B) 75 \%
C) 100 \%
D) 50 \%
261
EasyJEE Mains2023
The \mathrm{H} amount of thermal energy is developed by a resistor in 10 \mathrm{~s} when a current of 4 \mathrm{~A} is passed through it. If the current is increased to 16 \mathrm{~A}, the thermal energy developed by the resistor in 10 \mathrm{~s} will be :
Options:
A) \frac{\mathrm{H}}{4}
B) 16 \mathrm{H}
C) H
D) 4 \mathrm{H}
262
EasyJEE Mains2023
The drift velocity of electrons for a conductor connected in an electrical circuit is $\mathrm{V}_{\mathrm{d}}$. The conductor in now replaced by another conductor with same material and same length but double the area of cross section. The applied voltage remains same. The new drift velocity of electrons will be
Options:
A) \frac{V_{d}}{4}
B) \mathrm{V}_{\mathrm{d}}
C) 2 \mathrm{~V}_{\mathrm{d}}
D) \frac{V_{d}}{2}
263
MediumJEE Mains2023
The equivalent resistance between A and B is _________.
Options:
A) \frac{1}{2} \Omega
B) \frac{2}{3} \Omega
C) \frac{3}{2} \Omega
D) \frac{1}{3} \Omega
264
MediumJEE Mains2023
The charge flowing in a conductor changes with time as $\mathrm{Q}(\mathrm{t})=\alpha \mathrm{t}-\beta \mathrm{t}^{2}+\gamma \mathrm{t}^{3}. Where \alpha, \beta and \gamma$ are constants. Minimum value of current is :
Options:
A) \beta-\frac{\alpha^{2}}{3 \gamma}
B) \alpha-\frac{3 \beta^{2}}{\gamma}
C) \alpha-\frac{\beta^{2}}{3 \gamma}
D) \alpha-\frac{\gamma^{2}}{3 \beta}
265
EasyJEE Mains2023
With the help of potentiometer, we can determine the value of emf of a given cell. The sensitivity of the potentiometer is (A) directly proportional to the length of the potentiometer wire (B) directly proportional to the potential gradient of the wire (C) inversely proportional to the potential gradient of the wire (D) inversely proportional to the length of the potentiometer wire Choose the correct option for the above statements :
Options:
A) A only
B) B and D only
C) A and C only
D) inversely C only
266
EasyJEE Mains2023
Ratio of thermal energy released in two resistors R and 3R connected in parallel in an electric circuit is :
Options:
A) 1 : 1
B) 1 : 27
C) 1 : 3
D) 3 : 1
267
EasyJEE Mains2023
The resistance of a wire is 5 $\Omega$. It's new resistance in ohm if stretched to 5 times of it's original length will be :
Options:
A) 25
B) 625
C) 5
D) 125
268
MediumJEE Mains2023
A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of uniform metallic wire is 8.92 $\times 10^{-3} kg, density is 8.92 \times 10^{3} kg/m^3 and resistivity is 1.7 \times 10^{-8}~\Omega-\mathrm{m}$. The length of wire is :
Options:
A) l=100$ m
B) l=6.8$ m
C) l=5$ m
D) l=10$ m
269
MediumJEE Mains2023
A cell of emf 90 V is connected across series combination of two resistors each of 100$\Omega resistance. A voltmeter of resistance 400\Omega$ is used to measure the potential difference across each resistor. The reading of the voltmeter will be :
Options:
A) 40 V
B) 90 V
C) 45 V
D) 80 V
270
MediumJEE Mains2023
As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 $\Omega. The currents through the resistors R_4 and R_5 are I_4 and I_5 respectively. The values of I_4 and I_5$ are :
Options:
A) \mathrm{I_4=\frac{8}{5}A} and \mathrm{I_5=\frac{2}{5}A}
B) \mathrm{I_4=\frac{6}{5}A} and \mathrm{I_5=\frac{24}{5}A}
C) \mathrm{I_4=\frac{2}{5}A} and \mathrm{I_5=\frac{8}{5}A}
D) \mathrm{I_4=\frac{24}{5}A} and \mathrm{I_5=\frac{6}{5}A}
271
EasyJEE Mains2022
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Alloys such as constantan and manganin are used in making standard resistance coils. Reason R: Constantan and manganin have very small value of temperature coefficient of resistance. In the light of the above statements, choose the correct answer from the options given below.
Options:
A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false.
D) A is false but R is true.
272
MediumJEE Mains2022
A $1 \mathrm{~m} long wire is broken into two unequal parts \mathrm{X} and \mathrm{Y}. The \mathrm{X} part of the wire is streched into another wire W. Length of W is twice the length of X and the resistance of \mathrm{W} is twice that of \mathrm{Y}. Find the ratio of length of \mathrm{X} and \mathrm{Y}$.
Options:
A) 1 : 4
B) 1 : 2
C) 4 : 1
D) 2 : 1
273
EasyJEE Mains2022
Two metallic wires of identical dimensions are connected in series. If $\sigma_{1} and \sigma_{2}$ are the conductivities of the these wires respectively, the effective conductivity of the combination is :
Options:
A)
\frac{\sigma_{1} \sigma_{2}}{\sigma_{1}+\sigma_{2}}
B)
\frac{2 \sigma_{1} \sigma_{2}}{\sigma_{1}+\sigma_{2}}
C)
\frac{\sigma_{1}+\sigma_{2}}{2 \sigma_{1} \sigma_{2}}
D)
\frac{\sigma_{1}+\sigma_{2}}{\sigma_{1} \sigma_{2}}
274
EasyJEE Mains2022
Given below are two statements : Statement I : A uniform wire of resistance $80 \,\Omega is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be 5 \,\Omega. Statement II: Two resistances 2R and 3R are connected in parallel in a electric circuit. The value of thermal energy developed in 3R and 2R will be in the ratio 3: 2$. In the light of the above statements, choose the most appropriate answer from the option given below
Options:
A) Both statement I and statement II are correct
B) Both statement I and statement II are incorrect
C) Statement I is correct but statement II is incorrect
D) Statement I is incorrect but statement II is correct
275
EasyJEE Mains2022
A wire of resistance R 1 is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is :
Options:
A) 9 : 1
B) 1 : 9
C) 4 : 1
D) 3 : 1
276
MediumJEE Mains2022
(A) The drift velocity of electrons decreases with the increase in the temperature of conductor. (B) The drift velocity is inversely proportional to the area of cross-section of given conductor. (C) The drift velocity does not depend on the applied potential difference to the conductor. (D) The drift velocity of electron is inversely proportional to the length of the conductor. (E) The drift velocity increases with the increase in the temperature of conductor. Choose the correct answer from the options given below :
Options:
A) (A) and (B) only
B) (A) and (D) only
C) (B) and (E) only
D) (B) and (C) only
277
MediumJEE Mains2022
Two sources of equal emfs are connected in series. This combination is connected to an external resistance R. The internal resistances of the two sources are $r_{1} and r_{2} \left(r_{1}>r_{2}\right). If the potential difference across the source of internal resistance r_{1}$ is zero, then the value of R will be :
Options:
A) r_{1}-r_{2}
B) \frac{r_{1} r_{2}}{r_{1}+r_{2}}
C) \frac{r_{1}+r_{2}}{2}
D) r_{2}-r_{1}
278
EasyJEE Mains2022
A battery of $6 \mathrm{~V}$ is connected to the circuit as shown below. The current I drawn from the battery is :
Options:
A) 1A
B) 2A
C) \frac{6}{11}$ A
D) \frac{4}{3}$ A
279
EasyJEE Mains2022
The current I in the given circuit will be :
Options:
A) 10 A
B) 20 A
C) 4 A
D) 40 A
280
EasyJEE Mains2022
A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the points A and B will be:
Options:
A) 50 V
B) 75 V
C) 150 V
D) 275 V
281
EasyJEE Mains2022
Which of the following physical quantities have the same dimensions?
Options:
A) Electric displacement $(\overrightarrow{\mathrm{D}})$ and surface charge density
B) Displacement current and electric field
C) Current density and surface charge density
D) Electric potential and energy
282
MediumJEE Mains2022
An electric cable of copper has just one wire of radius 9 mm. Its resistance is 14 $\Omega$. If this single copper wire of the cable is replaced by seven identical well insulated copper wires each of radius 3 mm connected in parallel, then the new resistance of the combination will be :
Options:
A) 9 $\Omega
B) 18 $\Omega
C) 28 $\Omega
D) 126 $\Omega
283
EasyJEE Mains2022
The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of 2$\Omega$. The value of internal resistance of each cell is
Options:
A) 2$\Omega
B) 4$\Omega
C) 6$\Omega
D) 8$\Omega
284
EasyJEE Mains2022
Resistance of the wire is measured as 2 $\Omega and 3 \Omega at 10^\circC and 30^\circ$C respectively. Temperature co-efficient of resistance of the material of the wire is :
Options:
A) 0.033 $^\circC
-$1
B) -0.033 ^\circC
-$1
C) 0.011 $^\circC
-$1
D) 0.055 $^\circC
-$1
285
EasyJEE Mains2022
A 72 $\Omega galvanometer is shunted by a resistance of 8 \Omega$. The percentage of the total current which passes through the galvanometer is :
Options:
A) 0.1%
B) 10%
C) 25%
D) 0.25%
286
MediumJEE Mains2022
The equivalent resistance between points A and B in the given network is :
Options:
A) 65$\Omega
B) 20$\Omega
C) 5$\Omega
D) 2$\Omega
287
EasyJEE Mains2022
An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in resistance is :
Options:
A) 0.4%
B) 0.2%
C) 0.8%
D) 0.6%
288
MediumJEE Mains2022
Two cells of same emf but different internal resistances r 1 and r 2 are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is :
Options:
A) r
2
$-$ r
1
B) r
1
$-$ r
2
C) r
1
D) r
2
289
MediumJEE Mains2022
If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then the total current I when its figure of merit is K will be:
Options:
A) {{KS} \over {(S + G)}}
B) {{(G + S)} \over {nKS}}
C) {{nKS} \over {(G + S)}}
D) {{nK(G + S)} \over S}
290
MediumJEE Mains2022
A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the observations for ${1 \over 3}$ deflection in the galvanometer. Which of the below is true for measuring value of G?
Options:
A) {1 \over 3}$ deflection method cannot be used for determining the resistance of the galvanometer.
B) {1 \over 3}$ deflection method can be used and in this case the G equals to twice the value of shunt resistances.
C) {1 \over 3}$ deflection method can be used and in this case, the G equals to three times the value of shunt resistances.
D) {1 \over 3}$ deflection method can be used and in this case the G value equals to the shunt resistances.
291
EasyJEE Mains2022
What will be the most suitable combination of three resistors A = 2$\Omega, B = 4\Omega, C = 6\Omega so that \left( {{{22} \over 3}} \right)\Omega$ is equivalent resistance of combination?
Options:
A) Parallel combination of A and C connected in series with B.
B) Parallel combination of A and B connected in series with C.
C) Series combination of A and C connected in parallel with B.
D) Series combination of B and C connected in parallel with A.
292
MediumJEE Mains2022
Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance 20 $\Omega$. A voltmeter connected in the circuit measures 1.2 V. The internal resistance of each cell is :
Options:
A) 2.5 $\Omega
B) 4 $\Omega
C) 5 $\Omega
D) 10 $\Omega
293
MediumJEE Mains2021
Due to cold weather a 1 m water pipe of cross-sectional area 1 cm 2 is filled with ice at $-10^\circC. Resistive heating is used to melt the ice. Current of 0.5A is passed through 4 k\Omega resistance. Assuming that all the heat produced is used for melting, what is the minimum time required? (Given latent heat of fusion for water/ice = 3.33 \times 10 5 J kg -1 , specific heat of ice = 2 \times 10 3 J kg -$1 and density of ice = 10 3 kg/m 3
Options:
A) 0.353 s
B) 35.3 s
C) 3.53 s
D) 70.6 s
294
MediumJEE Mains2021
Two resistors R 1 = (4 $\pm 0.8) \Omega and R 2 = (4 \pm 0.4) \Omega$ are connected in parallel. The equivalent resistance of their parallel combination will be :
Options:
A) (4 $\pm 0.4) \Omega
B) (2 $\pm 0.4) \Omega
C) (2 $\pm 0.3) \Omega
D) (4 $\pm 0.3) \Omega
295
EasyJEE Mains2021
The equivalent resistance of the given circuit between the terminals A and B is :
Options:
A) 0$\Omega
B) 3$\Omega
C) {9 \over 2}\Omega
D) 1$\Omega
296
EasyJEE Mains2021
Consider a galvanometer shunted with 5$\Omega$ resistance and 2% of current passes through it. What is the resistance of the given galvanometer ?
Options:
A) 300 $\Omega
B) 344 $\Omega
C) 245 $\Omega
D) 226 $\Omega
297
EasyJEE Mains2021
The Colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is :
Options:
A) (5700 $\pm 285) \Omega
B) (7500 $\pm 750) \Omega
C) (5700 $\pm 375) \Omega
D) (7500 $\pm 375) \Omega
298
EasyJEE Mains2021
For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanometer if its current sensitivity is 2 div/mA will be :
Options:
A) 1$\Omega
B) 5$\Omega
C) 4$\Omega
D) 2$\Omega
299
MediumJEE Mains2021
Five identical cells each of internal resistance 1$\Omega$ and emf 5V are connected in series and in parallel with an external resistance 'R'. For what value of 'R', current in series and parallel combination will remain the same?
Options:
A) 1 $\Omega
B) 25 $\Omega
C) 5 $\Omega
D) 10 $\Omega
300
MediumJEE Mains2021
If you are provided a set of resistances 2$\Omega, 4\Omega, 6\Omega and 8\Omega. Connect these resistances so as to obtain an equivalent resistance of {{46} \over 3}\Omega$.
Options:
A) 4$\Omega and 6\Omega are in parallel with 2\Omega and 8\Omega$ in series
B) 6$\Omega and 8\Omega are in parallel with 2\Omega and 4\Omega$ in series
C) 2$\Omega and 6\Omega are in parallel with 4\Omega and 8\Omega$ in series
D) 2$\Omega and 4\Omega are in parallel with 6\Omega and 8\Omega$ in series
301
EasyJEE Mains2021
An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V supply. Calculate the resistance R to be connected in series with the bulb so that the power delivered by the bulb is 500 W.
Options:
A) 20 $\Omega
B) 30 $\Omega
C) 5 $\Omega
D) 10 $\Omega
302
EasyJEE Mains2021
In the given figure, the emf of the cell is 2.2 V and if internal resistance is 0.6$\Omega$. Calculate the power dissipated in the whole circuit :
Options:
A) 1.32 W
B) 0.65 W
C) 2.2 W
D) 4.4 W
303
MediumJEE Mains2021
What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm diameter connected parallel to give an equivalent resistance of 3$\Omega ? (Given resistivities of iron and copper-nickel alloy wire are 12 \mu\Omega and 51 \mu\Omega$ cm respectively)
Options:
A) 82 m
B) 97 m
C) 110 m
D) 90 m
304
EasyJEE Mains2021
The resistance of a conductor at 15$^\circC is 16\Omega and at 100^\circC is 20\Omega$. What will be the temperature coefficient of resistance of the conductor?
Options:
A) 0.010$^\circC
-$1
B) 0.033$^\circC
-$1
C) 0.003$^\circC
-$1
D) 0.042$^\circC
-$1
305
MediumJEE Mains2021
In the given figure, a battery of emf E is connected across a conductor PQ of length 'l' and different area of cross-sections having radii r 1 and r 2 (r 2 < r 1 ). Choose the correct option as one moves from P to Q :
Options:
A) Drift velocity of electron increases.
B) Electric field decreases.
C) Electron current decreases.
D) All of these
306
MediumJEE Mains2021
In the given potentiometer circuit arrangement, the balancing length AC is measured to be 250 cm. When the galvanometer connection is shifted from point (1) to point (2) in the given diagram, the balancing length becomes 400 cm. The ratio of the emf of two cells, ${{{\varepsilon _1}} \over {{\varepsilon _2}}}$ is :
Options:
A) {5 \over 3}
B) {8 \over 5}
C) {4 \over 3}
D) {3 \over 2}
307
MediumJEE Mains2021
The given potentiometer has its wire of resistance 10$\Omega. When the sliding contact is in the middle of the potentiometer wire, the potential drop across 2\Omega$ resistor is :
Options:
A) 10 V
B) 5 V
C) {{40} \over 9}$ V
D) {{40} \over 11}$ V
308
MediumJEE Mains2021
In the given figure, there is a circuit of potentiometer of length AB = 10 m. The resistance per unit length is 0.1 $\Omega$ per cm. Across AB, a battery of emf E and internal resistance 'r' is connected. The maximum value of emf measured by this potentiometer is :
Options:
A) 5 V
B) 2.25 V
C) 6 V
D) 2.75 V
309
MediumJEE Mains2021
A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm 2 is joined with a similar Aluminium (Al) rod as shown in figure. Find the resistance of the combination between the ends A and B. (Take Resistivity of Copper = 1.7 $\times 10 -8 \Omegam and Resistivity of Aluminium = 2.6 \times 10 -8 \Omega$m)
Options:
A) 0.0858 m$\Omega
B) 1.420 m$\Omega
C) 0.858 m$\Omega
D) 2.170 m$\Omega
310
MediumJEE Mains2021
A current of 5 A is passing through a non-linear magnesium wire of cross-section 0.04 m 2 . At every point the direction of current density is at an angle of 60$^\circ with the unit vector of area of cross-section. The magnitude of electric field at every point of the conductor is : (Resistivity of magnesium \rho = 44 \times 10 -8 \Omega$m)
Options:
A) 11 $\times 10
-$5
V/m
B) 11 $\times 10
-$3
V/m
C) 11 $\times 10
-$7
V/m
D) 11 $\times 10
-$2
V/m
311
MediumJEE Mains2021
The value of current in the 6 $\Omega$ resistance is :
Options:
A) 4A
B) 8A
C) 10A
D) 6A
312
MediumJEE Mains2021
In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00 mm. The measured current in the conductor is 2.00 A. The maximum permissible percentage error in the resistivity of the conductor is :
Options:
A) 3.9
B) 8.4
C) 7.5
D) 3.0
313
MediumJEE Mains2021
Two cells of emf 2E and E with internal resistance r 1 and r 2 respectively are connected in series to an external resistor R (see figure). The value of R, at which the potential difference across the terminals of the first cell becomes zero is
Options:
A) r
1
$-$ r
2
B) {{{r_1}} \over 2} - {r_2}
C) {{{r_1}} \over 2} + {r_2}
D) r
1
+ r
2
314
MediumJEE Mains2021
The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15$\Omega$ resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10V is maintained across AC.
Options:
A) 4.87 $\mu$A
B) 4.87 mA
C) 2.44 mA
D) 2.44 $\mu$A
315
EasyJEE Mains2021
A current of 10A exists in a wire of cross-sectional area of 5 mm 2 with a drift velocity of 2 $\times 10 -3 ms -$1 . The number of free electrons in each cubic meter of the wire is ___________.
Options:
A) 625 $\times$ 10
25
B) 1 $\times$ 10
23
C) 2 $\times$ 10
25
D) 2 $\times$ 10
6
316
EasyJEE Mains2021
A resistor develops 500 J of thermal energy in 20 s when a current of 1.5A is passed through it. If the current is increased from 1.5A to 3A, what will be the energy developed in 20 s.
Options:
A) 1000 J
B) 2000 J
C) 1500 J
D) 500 J
317
EasyJEE Mains2021
A conducting wire of length 'l', area of cross-section A and electric resistivity $\rho$ is connected between the terminals of a battery. A potential difference V is developed between its ends, causing an electric current. If the length of the wire of the same material is doubled and the area of cross-section is halved, the resultant current would be :
Options:
A) 4{{VA} \over {\rho l}}
B) {3 \over 4}{{VA} \over {\rho l}}
C) {1 \over 4}{{VA} \over {\rho l}}
D) {1 \over 4}{{\rho l} \over {VA}}
318
MediumJEE Mains2021
A wire of 1$\Omega$ has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in resistance to the nearest integer is :
Options:
A) 76%
B) 12.5%
C) 25%
D) 56%
319
MediumJEE Mains2021
Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is :
Options:
A) {{3R} \over 2}
B) {{R} \over 2}
C) 2R
D) R
320
MediumJEE Mains2021
A current through a wire depends on time as i = $\alpha 0 t + \betat 2 where \alpha 0 = 20 A/s and \beta = 8 As -$2 . Find the charge crossed through a section of the wire in 15 s.
Options:
A) 2250 C
B) 2100 C
C) 260 C
D) 11250 C
321
EasyJEE Mains2021
A cell E 1 of emf 6V and internal resistance 2$\Omega is connected with another cell E 2 of emf 4V and internal resistance 8\Omega$ (as shown in the figure). The potential difference across points X and Y is :
Options:
A) 10.0 V
B) 2.0 V
C) 5.6 V
D) 3.6 V
322
MediumJEE Mains2020
A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In the circuit :
Options:
A) Ammeter is always connected in series and voltmeter in parallel
B) Both ammeter and voltmeter must be connected in series
C) Both ammeter and voltmeter must be connected in parallel
D) Ammeter is always used in parallel and voltmeter is series
323
MediumJEE Mains2020
In the figure shown, the current in the 10 V battery is close to :
Options:
A) 0.36 A from negative to positive terminal
B) 0.42 A from positive to negative terminal
C) 0.71 A from positive to negative terminal
D) 0.21 A from positive to negative terminal
324
MediumJEE Mains2020
A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6 mA it produces a deflection of 2 o , its figure of merit is close to :
Options:
A) 6 $ \times $ 10
–3
A/div
B) 666
o
A/div
C) 3 $ \times $ 10
–3
A/div
D) 333
o
A/div
325
MediumJEE Mains2020
In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential at point B with respect to the point A is :
Options:
A) +2 V
B) -2 V
C) +1 V
D) -1 V
326
MediumJEE Mains2020
An electrical power line, having a total resistance of 2 $\Omega $, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately :
Options:
A) 85%
B) 96%
C) 72%
D) 91%
327
MediumJEE Mains2020
A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by connecting a resistance R 1 in series with it. The additional resistance that should be connected in series with R 1 to increase the range of the voltmeter to 0 – 2 V will be :
Options:
A) G
B) R
1
C) R
1
+ G
D) R
1
- G
328
MediumJEE Mains2020
The value of current i 1 flowing from A to C in the circuit diagram is :
Options:
A) 1 A
B) 4 A
C) 5 A
D) 2 A
329
MediumJEE Mains2020
A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 V, the power dissipated within the internal resistance is :
Options:
A) 0.50 W
B) 0.072 W
C) 0.10 W
D) 0.125 W
330
MediumJEE Mains2020
Two resistors 400$\Omega and 800\Omega are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10 k\Omega across 400 \Omega $ resistor is close to :
Options:
A) 2.05 V
B) 1.95 V
C) 2 V
D) 1.8 V
331
MediumJEE Mains2020
Model a torch battery of length $l to be made up of a thin cylindrical bar of radius ‘a’ and a concentric thin cylindrical shell of radius ‘b’ filled in between with an electrolyte of resistivity \rho $ (see figure). If the battery is connected to a resistance of value R, the maximum Joule heating in R will take place for :
Options:
A) R = {{2\rho } \over {\pi l}}\ln \left( {{b \over a}} \right)
B) R = {\rho \over {\pi l}}\ln \left( {{b \over a}} \right)
C) R = {\rho \over {2\pi l}}\ln \left( {{b \over a}} \right)
D) R = {\rho \over {2\pi l}}\left( {{b \over a}} \right)
332
MediumJEE Mains2020
A potentiometer wire PQ of 1 m length is connected to a standard cell E 1 . Another cell E 2 of emf 1.02 V is connected with a resistance ‘r’ and switch S (as shown in figure). With switch S open, the null position is obtained at a distance of 49 cm from Q. The potential gradient in the potentiometer wire is :
Options:
A) 0.04 V/cm
B) 0.01 V/cm
C) 0.02 V/cm
D) 0.03 V/cm
333
MediumJEE Mains2020
Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity $\rho C , \rho T , \rho M and \rho $ A respectively. Then :
Options:
A) \rho
C
> \rho
A
> \rho $
T
B) \rho
M
> \rho
A
> \rho $
C
C) \rho
A
> \rho
T
> \rho $
C
D) \rho
A
> \rho
M
> \rho $
C
334
MediumJEE Mains2020
In the given circuit diagram, a wire is joining points B and D. The current in this wire is :
Options:
A) 4 A
B) 2 A
C) zero
D) 0.4 A
335
MediumJEE Mains2020
A galvanometer having a coil resistance 100 $\Omega $ gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?
Options:
A) 8.9 k$\Omega
B) 10 k$\Omega
C) 9.9 k$\Omega
D) 7.9 k$\Omega
336
MediumJEE Mains2020
The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5V and internal resistance of 20$\Omega $, the null point on it is found to be a 1000 cm. The resistance of whole wire is :
Options:
A) 80$\Omega
B) 60$\Omega
C) 120$\Omega
D) 100$\Omega
337
MediumJEE Mains2020
In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of electric main is 220 V. The minimum fuse capacity (rated value) of the building will be :
Options:
A) 15 A
B) 20 A
C) 25 A
D) 10 A
338
MediumJEE Mains2020
The current I 1 (in A) flowing through 1 $\Omega $ resistor in the following circuit is :
Options:
A) 0.4
B) 0.25
C) 0.2
D) 0.5
339
MediumJEE Mains2019
A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to I 0 (I 0 > I g ) by connecting a shunt resistance R A to it and (ii) into a voltmeter of range 0 to V (V = GI 0 ) by connecting a series resistance R V to it. Then,
Options:
A) {R_A}{R_V} = {G^2} and {{{R_A}} \over {{R_V}}} = {{{I_g}} \over {\left( {{I_0} - {I_g}} \right)}}
B) {R_A}{R_V} = {G^2}\left( {{{{I_g}} \over {{I_0} - {I_g}}}} \right) and {{{R_A}} \over {{R_V}}} = {\left( {{{{I_0} - {I_g}} \over {{I_g}}}} \right)^2}
C) {R_A}{R_V} = {G^2}\left( {{{{I_0} - {I_g}} \over {{I_g}}}} \right) and {{{R_A}} \over {{R_V}}} = {\left( {{{{I_g}} \over {{I_0} - {I_g}}}} \right)^2}
D) {R_A}{R_V} = {G^2} and {{{R_A}} \over {{R_V}}} = {\left( {{{{I_g}} \over {{I_0} - {I_g}}}} \right)^2}
340
MediumJEE Mains2019
To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained : If V 0 is almost zero, identify the correct statement :
Options:
A) The value of the resistance R is 1.5 $\Omega
B) The emf of the battery is l.5 V and its internal resistance is 1.5 $\Omega
C) The emf of the battery is l.5 V and the value of R is 1.5 $\Omega
D) The potential difference across the battery is 1.5 V when it sends a current of 1000 mA
341
MediumJEE Mains2019
The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network is 4 Watt. The value of R is:
Options:
A) 16 $\Omega
B) 1 $\Omega
C) 8 $\Omega
D) 6 $\Omega
342
MediumJEE Mains2019
A galvanometer of resistance 100 $\Omega has 50 divisions on its scale and has sensitivitv of 20 \mu $A/division. It is to be converted to a voltmeter with three ranges of 0-2V, 0-10 V and 0-20 V. The appropriate circuit to do so is
Options:
A)
B)
C)
D)
343
MediumJEE Mains2019
Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of resistivity $\rho $. The resistance between the two spheres will be :
Options:
A) {\rho \over {2\pi }}\left( {{1 \over a} + {1 \over b}} \right)
B) {\rho \over {4\pi }}\left( {{1 \over a} + {1 \over b}} \right)
C) {\rho \over {2\pi }}\left( {{1 \over a} - {1 \over b}} \right)
D) {\rho \over {4\pi }}\left( {{1 \over a} - {1 \over b}} \right)
344
MediumJEE Mains2019
A moving coil galvanometer allows a full scale current of 10 –4 A. A series resistance of 2 M$\Omega $ is required to convert the above galvanometer into a voltmeter of range 0-5 V. Therefore the value of shunt resistance required to convert the above galvanometer into an ammeter of range 0.10 mA is :
Options:
A) 200 $\Omega
B) 500 $\Omega
C) 100 $\Omega
D) None of the options are correct
345
MediumJEE Mains2019
In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line. One may conclude that :
Options:
A) R(T) = {R_0}{e^{ - {T^2}/T_0^2}}
B) R(T) = {{{R_0}} \over {{T^2}}}
C) R(T) = {R_0}{e^{ {T^2}/T_0^2}}
D) R(T) = {R_0}{e^{ - T_0^2/{T^2}}}
346
MediumJEE Mains2019
A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10 –8 $\Omega $m) of radius of cross-section 5 mm. Find the mobility of the charges if their drift velocity is 1.1 × 10 –3 m/s.
Options:
A) 1.3 m
2
/Vs
B) 1.0 m
2
/Vs
C) 1.8 m
2
/Vs
D) 1.5 m
2
/Vs
347
MediumJEE Mains2019
In the given circuit, an ideal voltmeter connected across the 10$\Omega $ resistance reads 2V. The internal resistance r, of each cell is:
Options:
A) 1.5 $\Omega
B) 1 $\Omega
C) 0.5 $\Omega
D) 0 $\Omega
348
MediumJEE Mains2019
In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure SI. No. R($\Omega $) l(cm) 1. 1000 60 2. 100 13 3. 10 1.5 4. 1 1.0 Which of the readings is inconsistent?
Options:
A) 4
B) 3
C) 2
D) 1
349
MediumJEE Mains2019
The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resistance must be connected to it in order to convert it into an ammeter of range 0 – 0.5 A ?
Options:
A) 0.02 ohm
B) 0.2 ohm
C) 0.002 ohm
D) 0.5 ohm
350
MediumJEE Mains2019
A metal wire of resistance 3 $\Omega $ is elongated to make a uniform wire of double its previous length. This new wire is now bent and the ends joined to make a circle. If two points on this circle make an angle 60° at the centre, the equivalent resistance between these two points will be :-
Options:
A) 5 /2 $\Omega
B) 12/5 $\Omega
C) 7/2 $\Omega
D) 5 / 3 $\Omega
351
MediumJEE Mains2019
In a conductor, if the number of conduction electrons per unit volume is 8.5 × 10 28 m –3 and mean free time is 25ƒs (femto second), it's approximate resistivity is :- (m e = 9.1 × 10 –31 kg)
Options:
A) 10
–8
$\Omega $m
B) 10
–7
$\Omega $m
C) 10
–5
$\Omega $m
D) 10
–6
$\Omega $m
352
MediumJEE Mains2019
A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is : (E is mid-point of arm CD)
Options:
A) {7 \over {64}}R
B) {1 \over {16}}R
C) R
D) {3 \over {4}}R
353
MediumJEE Mains2019
A moving coil galvanometer has resistance 50$\Omega and it indicates full deflection at 4mA current. A voltmeter is made using this galvanometer and a 5 k\Omega $ resistance. The maximum voltage, that can be measured using this voltmeter, will be close to :
Options:
A) 15 V
B) 10 V
C) 40 V
D) 20 V
354
MediumJEE Mains2019
In the figure shown, what is the current (in Ampere) drawn from the battery ? You are given: R 1 = 15$\Omega , R 2 = 10 \Omega , R 3 = 20 \Omega , R 4 = 5\Omega , R 5 = 25\Omega , R 6 = 30 \Omega $, E = 15 V
Options:
A) 13/24
B) 7/18
C) 9/32
D) 20/3
355
MediumJEE Mains2019
In the circuit shown, a four-wire potentiometer is made of a 400 cm long wire, which extends between A and B. The resistance per unit length of the potentiometer wire is r = 0.01 $\Omega $/cm. If an ideal voltmeter is connected as shown with jockey J at 50 cm from end A, the expected reading of the voltmeter will be :-
Options:
A) 0.25 V
B) 0.20 V
C) 0.50V
D) 0.75 V
356
MediumJEE Mains2019
A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external resistance will be maximum when :-
Options:
A) R = 1000 r
B) R = r
C) R = 2r
D) R = 0.001 r
357
MediumJEE Mains2019
For the circuit shown, with R 1 = 1.0W, R 2 = 2.0 W, E 1 = 2 V and E 2 = E 3 = 4 V, the potential difference between the points 'a' and 'b' is approximately (in V):
Options:
A) 3.3
B) 2.7
C) 2.3
D) 3.7
358
MediumJEE Mains2019
A 200 $\Omega $ resistor has a certain color code. If one replaces the red color by green in the code, the new resistance will be :
Options:
A) 500 $\Omega
B) 100 $\Omega
C) 200 $\Omega
D) 300 $\Omega
359
MediumJEE Mains2019
In the given circuit diagram, the currents, I 1 = – 0.3 A, I 4 = 0.8 A and I 5 = 0.4 A, are flowing as shown. The currents I 2 , I 3 and I 6 , respectively, are :
Options:
A) 1.1 A, – 0.4 A, 0.4 A
B) -$ 0.4 A, 0.4 A, 1.1 A
C) 0.4 A, 1.1 A, 0.4 A
D) 1.1 A, 0.4 A, 0.4 A
360
MediumJEE Mains2019
A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 $ \times $ 10 –4 A passes through it, its needle ( pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5 V, it should be connected to a resistance of :
Options:
A) 200 ohm
B) 250 ohm
C) 6200 ohm
D) 6250 ohm
361
MediumJEE Mains2019
Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If the 25 W and 100 W bulbs draw powers P 1 and P 2 respectively, then :
Options:
A) P
1
= 4W, P
2
= 16 W
B) P
1
= 16W, P
2
= 4 W
C) P
1
= 9W, P
2
= 16 W
D) P
1
= 16W, P
2
= 9 W
362
MediumJEE Mains2019
In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation ${{dR} \over {d\ell }} of its resistance R with length \ell is {{dR} \over {d\ell }} \propto {1 \over {\sqrt \ell }}$. Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point P. What is the length AP ?
Options:
A) 0.3 m
B) 0.25 m
C) 0.35 m
D) 0.2 m
363
MediumJEE Mains2019
The galvanometer deflection, when key K 1 is closed but K 2 is open, equals $\theta 0 (see figure). On closing K 2 also and adjusting R 2 to 5\Omega , the deflection in galvanometer becomes {{{\theta _0}} \over 5}.$ . The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery] :
Options:
A) 5 $\Omega
B) 25 $\Omega
C) 12 $\Omega
D) 22 $\Omega
364
MediumJEE Mains2019
An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m and esistance 5 $\Omega $. The value of R, to give a potential difference of 5 mV across 10 cm of potentiometer wire, is :
Options:
A) 480 $\Omega
B) 495 $\Omega
C) 490 $\Omega
D) 395 $\Omega
365
MediumJEE Mains2019
A galvanometer having a resistance of 20 $\Omega $ and 30 divisions on both sides has figure of merit 0.005 ampere/division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt, is:
Options:
A) 120 $\Omega
B) 125 $\Omega
C) 80 $\Omega
D) 100 $\Omega
366
MediumJEE Mains2019
In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance of 40 cm from A. If a 10 $\Omega resistor is connected in series with R 1 , the null point shifts by 10 cm. The resistance that should be connected in parallel with (R 1 + 10) \Omega $ such that the null point shifts back to its initial position is :
Options:
A) 40 $\Omega
B) 30 $\Omega
C) 20 $\Omega
D) 60 $\Omega
367
MediumJEE Mains2019
In the circuit shown, the potential difference between A and B is :
Options:
A) 6 V
B) 3 V
C) 2 V
D) 1 V
368
MediumJEE Mains2019
Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be :
Options:
A) 240 W
B) 60 W
C) 30 W
D) 120 W
369
MediumJEE Mains2019
The resistance of the meter bridge AB in given figure is 4 $\Omega . With a cell of emf \varepsilon = 0.5 V and rheostat resistance R h = 2 \Omega the null point is obtained at some point J. When the cell is replaced by another one of emf \varepsilon = \varepsilon 2 the same null point J is found for R h = 6 \Omega . The emf \varepsilon $ 2 is, :
Options:
A) 0.3 V
B) 0.6 V
C) 0.5 V
D) 0.4 V
370
MediumJEE Mains2019
In a Wheatstone bridge(see fig.), Resistances P and Q are approximately equal. When R = 400 $\Omega , the bridge is balanced. On interchanging P and Q, the value of R, for balance, is 405 \Omega $. The value of X is close to :
Options:
A) 402.5 ohm
B) 401.5 ohm
C) 403.5 ohm
D) 404.5 ohm
371
MediumJEE Mains2019
A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected across it is -
Options:
A) 11 $ \times $ 10
–5
W
B) 11 $ \times $ 10
–3
W
C) 11 $ \times $ 10
5
W
D) 11 $ \times $ 10
–4
W
372
MediumJEE Mains2019
The actual value of resistance R, shown in the figure is 30$\Omega . This is measuered in an experiment as shown using the standard formula R = {V \over {\rm I}}$, where V and I are the readings of the voltmeter and ammeter, respectively. If the measured value of R is 5% less, then the internal resistance of the voltmeter is -
Options:
A) 570 $\Omega
B) 600 $\Omega
C) 350 $\Omega
D) 35 $\Omega
373
MediumJEE Mains2019
The Wheatstone bridge shown in figure, here, gets balanced when the carbon resistor used as R 1 has the colour code (Orange, Red, Brown). The resistors R 2 and R 4 are 80$\Omega and 40\Omega $, respectively. Assuming that the colour code for the carbon resistors gives their accurate values, the colour code for the carbon resistor, used as R 3 , would be -
Options:
A) Brown, Blue, Brown
B) Grey, Black, Brown
C) Red, Green, Brown
D) Brown, Blue, Black
374
MediumJEE Mains2019
A 2 W carbon resistor is color coded with green, black, red and brown respectively. The maximum current which can be passed through this resistor is -
Options:
A) 0.4 mA
B) 20 mA
C) 63 mA
D) 100 mA
375
MediumJEE Mains2019
In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance R 1 and R 2 respectively, are -
Options:
A) 0.5, 0
B) 0, 1
C) 1, 2
D) 2, 2
376
MediumJEE Mains2019
A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf $\varepsilon and internal resistance r. A cell C having emf \varepsilon $/2 and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in figure shows no deflection is –
Options:
A) {{11} \over {12}}L
B) {{13} \over {24}}L
C) {{5} \over {12}}L
D) {{11} \over {24}}L
377
MediumJEE Mains2019
A uniform metallic wire has a resistance of 18 $\Omega $ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is -
Options:
A) 12 $\Omega
B) 2 $\Omega
C) 4 $\Omega
D) 8 $\Omega
378
MediumJEE Mains2019
A carbon resistance has a following colour code. What is the value of the resistance ?
Options:
A) 530 k$\Omega \pm $ 5%
B) 5.3 M$\Omega \pm $ 5%
C) 6.4 M$\Omega \pm $ 5%
D) 64 k$\Omega \pm $ 10%
379
MediumJEE Mains2019
In the given circuit the the internal resistance of the 18 V cell is negligible. If R 1 = 400 $\Omega , R 3 = 100 \Omega and R 4 = 500 \Omega $ and the reading of an ideal voltmeter across R 4 is 5V, then the value of R 2 will be :
Options:
A) 300 $\Omega
B) 450 $\Omega
C) 550 $\Omega
D) 230 $\Omega
380
MediumJEE Mains2019
When the switch S, in the circuit shown, is closed, then the value of current i will be :
Options:
A) 3A
B) 5A
C) 4A
D) 2A
381
MediumJEE Mains2019
Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm 2 , is $\upsilon . If the electron density in copper is 9 \times 10 28 /m 3 the value of \upsilon . in mm/s is close to (Take charge of electron to be = 1.6 \times 10 -$19 C)
Options:
A) 0.02
B) 3
C) 2
D) 0.2
382
MediumJEE Mains2019
A resistance is shown in the figure. Its value and tolerance are given respectively by :
Options:
A) 270 $\Omega $, 10 %
B) 27 k$\Omega $, 10 %
C) 27 k$\Omega $, 20 %
D) 270 $\Omega $, 5 %
383
MediumJEE Mains2018
A galvanometer with its coil resistance 25 $\Omega $ requires a current of 1 mA for its full deflection. In order to construct an ammeter to read upto a current of 2 A, the approximate value of the shunt resistance should be :
Options:
A) 2.5 \times {10^{ - 3}}\,\Omega
B) 1.25 \times {10^{ - 2}}\Omega
C) 1.25 \times {10^{ - 3}}\Omega
D) 2.5 \times {10^{ - 2}}\Omega
384
MediumJEE Mains2018
In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistance of 11 k$\Omega are used. The figure of merit of the galvanometer is 60 \mu A/division. In the absence of shunt resistance, the galvanometer produces a deflection of \theta = 9 divisions when current flows in the circuit. The value of the shunt resistance that can cause the deflection of \theta /2,$ is closest to :
Options:
A) 500 $\Omega
B) 220 $\Omega
C) 55 $\Omega
D) 110 $\Omega
385
MediumJEE Mains2018
A heating element has a resistance of 100 $\Omega $ at room temperature. When it is connected to a supply of 220 V, a steady current of 2 A passes in it and temperature is 500 o C more than room temperature. what is the temperature coefficient of resistance of the heating element ?
Options:
A) 0.5 $ \times 10
-4
o
C
-$1
B) 5 $ \times 10
-4
o
C
-$1
C) 1 $ \times 10
-4
o
C
-$1
D) 2 $ \times 10
-4
o
C
-$1
386
MediumJEE Mains2018
Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10 $\Omega . The internal resistances of the two batteries are 1 \Omega and 2 \Omega $ respectively. The voltage across the load lies between :
Options:
A) 11.7 V and 11.8 V
B) 11.6 V and 11.7 V
C) 11.5 V and 11.6 V
D) 11.4 V and 11.5 V
387
MediumJEE Mains2018
On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of their series combination is 1 k$\Omega $. How much was the resistance on the left slot before interchanging the resistances?
Options:
A) 910 $\Omega
B) 990 $\Omega
C) 505 $\Omega
D) 550 $\Omega
388
MediumJEE Mains2018
In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across 52 cm of the potentiometer wire. If the cell is shunted by a resistance of 5 $\Omega$, a balance is found when the cell is connected across 40 cm of the wire. Find the internal resistance of the cell.
Options:
A) 2.5 $\Omega
B) 1 $\Omega
C) 1.5 $\Omega
D) 2 $\Omega
389
MediumJEE Mains2018
A copper rod of cross-sectional area A carries a uniform current I through it. At temperature T, if the volume charge density of the rod is $\rho $, how long will the changes take to travel a distance d ?
Options:
A) {{2\rho \,d\,A} \over {\rm I}}
B) {{2\rho \,d\,A} \over {{\rm I}\,T}}
C) {{\rho \,d\,A} \over {{\rm I}\,}}
D) {{\rho \,d\,A} \over {{\rm I}\,T}}
390
MediumJEE Mains2018
A constant voltages is applied between two ends of a metallic wire. If the length is halved and the radius of the wire is doubled, the rate of heat developed in the wire will be :
Options:
A) Doubled
B) Halved
C) Unchanged
D) Increased 8 times
391
MediumJEE Mains2018
In the given circuit all resistances are of value $R ohm each. The equivalent resistance between A and B$ is :
Options:
A) 2R
B) 3R
C) {{5R} \over 3}
D) {{5R} \over 2}
392
MediumJEE Mains2018
In a meter bridge, as shown in the figure, it is given that resistance $Y = 12.5\,\,\Omega and that the balance is obtained at a distance 39.5 cm from end A (by Jockey J). After interchanging the resistances X and Y, a new balance point is found at a distance {l_2} from end A. What are the value of X and {l_2}$ ?
Options:
A) 8.16\,\,\Omega and 60.5 cm
B) 19.15\,\,\Omega and 39.5 cm
C) 8.16\,\,\Omega and 39.5 cm
D) 19.15\,\,\Omega and 60.5 cm
393
MediumJEE Mains2017
The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the configurations I, II and III are P 1 , P 2 and P 3 respectively, then :
Options:
A) P
1
> P
2
> P
3
B) P
1
> P
3
> P
2
C) P
2
> P
1
> P
3
D) P
3
> P
2
> P
1
394
MediumJEE Mains2017
In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance P = 4 $\Omega $ and the neutral point N is at 60 cm from A. Now an unknown resistance R is connected in series to P and the new position of the neutral point is at 80 cm from A. The value of unknown resistance R is :
Options:
A) {{33} \over 5}\,\Omega
B) 6 $\,\Omega
C) 7 $\,\Omega
D) {{20} \over 3}\,\Omega
395
MediumJEE Mains2017
A uniform wire of length 1 and radius r has a resistance of 100 $\Omega . It is recast into a wire of radius {r \over 2}.$ The resistance of new wire will be :
Options:
A) 1600 $\Omega
B) 400 $\Omega
C) 200 $\Omega
D) 100 $\Omega
396
MediumJEE Mains2017
A 9 V battery with internal resistance of 0.5 $\Omega $ is connected across an infinite network as shown in the figure. All ammeters A 1 , A 2 , 3 and voltmeter V are ideal. Choose correct statement.
Options:
A) Reading of A
1
is 2 A
B) Reading of A
1
is 18 A
C) Reading of V is 9 V
D) Reading of V is 7 V
397
MediumJEE Mains2017
A potentiometer PQ is set up to compare two resistances as shown in the figure. The ammeter A in the circuit reads 1.0 A when two way key K 3 is open. The balance point is at a length $\ell 1 cm from P when two way key K 3 is plugged in between 2 and 1, while the balance point is at a length \ell 2 cm from P when key K 3 is plugged in between 3 and 1. The ratio of two resistances {{{R_1}} \over {{R_2}}}$, is found to be :
Options:
A) {{{l_1}} \over {{l_1} + {l_2}}}
B) {{{l_2}} \over {{l_2} - {l_1}}}
C) {{{l_1}} \over {{l_1} - {l_2}}}
D) {{{l_1}} \over {{l_2} - {l_1}}}
398
MediumJEE Mains2017
When a current of 5 mA is passed through a galvanometer having a coil of resistance 15$\Omega $, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to convert it into a voltmeter of range 0 – 10V is:
Options:
A) 4.005 × 10
3
$\Omega
B) 1.985 × 10
3
$\Omega
C) 2.535 × 10
3
$\Omega
D) 2.045 × 10
3
$\Omega
399
MediumJEE Mains2017
Which of the following statements is false ?
Options:
A) Kirchhoff’s second law represents energy conservation.
B) Wheatstone bridge is the most sensitive when all the four resistances are of the same order of
magnitude.
C) In a balanced wheatstone bridge if the cell and the galvanometer are exchanged, the null point is
disturbed.
D) A rheostat can be used as a potential divider.
400
MediumJEE Mains2017
In the given circuit, the current in each resistance is:
Options:
A) 0 A
B) 1 A
C) 0.25 A
D) 0.5 A
401
MediumJEE Mains2016
The resistance of an electrical toaster has a temperature dependence given by R(T) = R 0 [1 + $\alpha (T − T 0 )] in its range of operation. At T 0 = 300 K, R = 100 \Omega and at T = 500 K, R = 120 \Omega $. The toaster is connected to a voltage source at 200 V and its temperature is raised at a constant rate from 300 to 500 K in 30 s. The total work done in raising the temperature is :
Options:
A) 400 $\ln \,{{1.5} \over {1.3}}\,J
B) 200 $\ln \,{{2} \over {3}}\,J
C) 60000 $\ln \,{{6} \over {5}}\,J
D) 300 J
402
MediumJEE Mains2016
A galvanometer has a 50 division scale. Battery has no internal resistance. It is found that there is deflection of 40 divisions when R = 2400 $\Omega . Deflection becomes 20 divisions when resistance taken from resistance box is 4900 \Omega $. Then we can conclude :
Options:
A) Resistance of galvanometer is 200 $\Omega
B) Full scale deflection current is 2 mA.
C) Current sensitivity of galvanometer is 20 $\mu $A/division.
D) Resistance required on R.B. for a deflection of 10 divisions is 9800 $\Omega $.
403
MediumJEE Mains2016
In the circuit shown, the resistance r is a variable resistance. If for r = fR, the heat generation in r is maximum then the value of f is :
Options:
A) {1 \over 4}
B) {1 \over 2}
C) {3 \over 4}
D) 1
404
MediumJEE Mains2016
A 50 $\Omega resistance is connected to a battery of 5 V. A galvanometer of resistance 100 \Omega $ is to be used as an ammeter to measure current through the resistance, for this a resistance r s is connected to the galvanometer. Which of the following connections should be employed if the measured current is within 1% of thecurrent without the ammeter in the circuit ?
Options:
A) r
s
= 0.5 $\Omega $ in parallel with the galvanometer
B) r
s
= 0.5 $\Omega $ in series with the galvanometer
C) r
s
= 1 $\Omega $ in series with galvanometer
D) r
s
=1 $\Omega $ in parallel with galvanometer
405
MediumJEE Mains2016
A galvanometer having a coil resistance of $100\,\Omega gives a full scale deflection, when a currect of 1 mA is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of 10 A,$ is :
Options:
A) 0.1\,\Omega
B) 3\,\Omega
C) 0.01\,\Omega
D) 2\,\Omega
406
MediumJEE Mains2015
When $5V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5 \times {10^{ - 4}}\,\,m{s^{ - 1}}. If the electron density in the wire is 8 \times {10^{28}}\,\,{m^{ - 3}},$ the resistivity of the material is close to :
Options:
A) 1.6 \times {10^{ - 6}}\Omega m
B) 1.6 \times {10^{ - 5}}\Omega m
C) 1.6 \times {10^{ - 8}}\Omega m
D) 1.6 \times {10^{ - 7}}\Omega m
407
MediumJEE Mains2015
In the circuit shown, the current in the $1\Omega $ resistor is :
Options:
A) 0.13 A, from Q to P
B) 0.13 A, from P to Q
C) 1.3A from P to Q
D) 0A
408
MediumJEE Mains2014
In a large building, three are $15 bulbs of 40 W, 5 bulbs of 100 W, 5 fans of 80 W and 1 heater of 1 kW. The voltage of electric mains is 220 V.$ The minimum capacity of the main fuse of the building will be:
Options:
A) 8 A
B) 10 A
C) 12 A
D) 14 A
409
MediumJEE Mains2013
This questions has Statement - ${\rm I} and Statement - {\rm I}{\rm I}. Of the four choices given after the Statements, choose the one that best describes into two Statements. Statement - {\rm I} : Higher the range, greater is the resistance of ammeter. Statement - {\rm I}{\rm I}$ : To increase the range of ammeter, additional shunt needs to be used across it.
Options:
A) Statement - ${\rm I} is true, Statement - {\rm II} is true, Statement - {\rm II} is the correct explanation of statement - {\rm I}$.
B) Statement - ${\rm I} is true, Statement - {\rm II} is true, Statement - {\rm II} is not the correct explanation of statement - {\rm I}$.
C) Statement - ${\rm I} is true, Statement - {\rm II}$ is false
D) Statement - ${\rm I} is false, Statement - {\rm II}$ is true
410
MediumJEE Mains2013
The supply voltage to room is $120V. The resistance of the lead wires is 6\Omega . A 60 W bulb is already switched on. What is the decrease of voltage across the bulb, when a 240 W$ heater is switched on in parallel to the bulb?
Options:
A) zero
B) 2.9$ Volt
C) 13.3$ Volt
D) 10.04$ Volt
411
MediumJEE Mains2012
Two electric bulbs marked $25W - 220 V and 100W - 220V are connected in series to a 440 V$ supply. Which of the bulbs will fuse?
Options:
A) Both
B) 100 W
C) 25 W
D) Neither
412
MediumJEE Mains2011
If a wire is stretched to make it $0.1\% $ longer, its resistance will:
Options:
A) increase by $0.2\%
B) decrease by $0.2\%
C) decrease by $0.05\%
D) increase by $0.05\%
413
MediumJEE Mains2010
Two conductors have the same resistance at ${0^ \circ }C but their temperature coefficients of resistance are {\alpha _1} and {\alpha _2}.$ The respective temperature coefficients of their series and parallel combinations are nearly
Options:
A) {{{\alpha _1} + {\alpha _2}} \over 2},\,{\alpha _1} + {\alpha _2}
B) {\alpha _1} + {\alpha _2},\,{{{\alpha _1} + {\alpha _2}} \over 2}
C) {\alpha _1} + {\alpha _2},\,{{{\alpha _1}{\alpha _2}} \over {{\alpha _1} + {\alpha _2}}}
D) {{{\alpha _1} + {\alpha _2}} \over 2},\,{{{\alpha _1} + {\alpha _2}} \over 2}
414
MediumJEE Mains2008
Consider a block of conducting material of resistivity $'\rho ' shown in the figure. Current 'I' enters at 'A' and leaves from 'D'. We apply superposition principle to find voltage '\Delta V' developed between 'B' and 'C'. The calculation is done in the following steps: (i) Take current 'I' entering from 'A' and assume it to spread over a hemispherical surface in the block. (ii) Calculate field E(r) at distance 'r' from A by using Ohm's law E = \rho j, where j is the current per unit area at 'r'. (iii) From the 'r' dependence of E(r), obtain the potential V(r) at r. (iv) Repeat (i), (ii) and (iii) for current 'I' leaving 'D' and superpose results for 'A' and 'D'. For current entering at A, the electric field at a distance 'r' from A$ is
Options:
A) {{\rho I} \over {8\pi {r^2}}}
B) {{\rho I} \over {{r^2}}}
C) {{\rho I} \over {2\pi {r^2}}}
D) {{\rho I} \over {4\pi {r^2}}}
415
MediumJEE Mains2008
Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer. The value of the unknown resister $R$ is
Options:
A) 13.75\Omega
B) 220\Omega
C) 110\Omega
D) 55\Omega
416
MediumJEE Mains2008
A $5V battery with internal resistance 2\Omega and a 2V battery with internal resistance 1\Omega are connected to a 10\Omega resistor as shown in the figure. The current in the 10\Omega $ resistor is
Options:
A) 0.27A{P_2}\,\,to\,\,{P_1}
B) 0.03A{P_1}\,\,to\,\,{P_2}
C) 0.03A{P_2}\,\,to\,\,{P_1}
D) 0.27A{P_1}\,\,to\,\,{P_2}
417
MediumJEE Mains2008
Consider a block of conducting material of resistivity $'\rho ' shown in the figure. Current 'I' enters at 'A' and leaves from 'D'. We apply superposition principle to find voltage '\Delta V' developed between 'B' and 'C'. The calculation is done in the following steps: (i) Take current 'I' entering from 'A' and assume it to spread over a hemispherical surface in the block. (ii) Calculate field E(r) at distance 'r' from A by using Ohm's law E = \rho j, where j is the current per unit area at 'r'. (iii) From the 'r' dependence of E(r), obtain the potential V(r) at r. (iv) Repeat (i), (ii) and (iii) for current 'I' leaving 'D' and superpose results for 'A' and 'D'. \Delta V measured between B and C$ is
Options:
A) {{\rho I} \over {\pi a}} - {{\rho I} \over {\pi \left( {a + b} \right)}}
B) {{\rho I} \over a} - {{\rho I} \over {\left( {a + b} \right)}}
C) {{\rho I} \over {2\pi a}} - {{\rho I} \over {2\pi \left( {a + b} \right)}}
D) {{\rho I} \over {2\pi \left( {a - b} \right)}}
418
MediumJEE Mains2007
The resistance of a wire is $5 ohm at {50^ \circ }C and 6 ohm at {100^ \circ }C. The resistance of the wire at {0^ \circ }C$ will be
Options:
A) 3$ ohm
B) 2$ ohm
C) 1$ ohm
D) 4$ ohm
419
MediumJEE Mains2006
The resistance of bulb filmanet is $100\Omega at a temperature of {100^ \circ }C. If its temperature coefficient of resistance be 0.005 per ^ \circ C, its resistance will become 200\,\Omega $ at a temperature of
Options:
A) {300^ \circ }C
B) {400^ \circ }C
C) {500^ \circ }C
D) {200^ \circ }C
420
MediumJEE Mains2006
In a Wheatstone's bridge, three resistance $P, Q and R connected in the three arms and the fourth arm is formed by two resistances {S_1} and {S_2}$ connected in parallel. The condition for the bridge to be balanced will be
Options:
A) {P \over Q} = {{2R} \over {{S_1} + {S_2}}}
B) {P \over Q} = {{R\left( {{S_1} + {S_2}} \right)} \over {{S_1}{S_2}}}
C) {P \over Q} = {{R\left( {{S_1} + {S_2}} \right)} \over {2{S_1}{S_2}}}
D) {P \over Q} = {R \over {{S_1} + {S_2}}}
421
MediumJEE Mains2006
A thermocouple is made from two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is kept cold, then, an electric current will
Options:
A) flow from Antimony to Bismuth at the hot junction
B) flow from Bismuth to Antimony at the cold junction
C) now flow through the thermocouple
D) flow from Antimony to Bismuth at the cold junction
422
MediumJEE Mains2006
An electric bulb is rated $220 volt - 100 watt. The power consumed by it when operated on 110$ volt will be
Options:
A) 75$ watt
B) 40$ watt
C) 25$ Watt
D) 50$ Watt
423
MediumJEE Mains2006
The current ${\rm I} drawn from the 5$ volt source will be
Options:
A) 0.33 A
B) 0.5 A
C) 0.67 A
D) 0.17 A
424
MediumJEE Mains2005
Two sources of equal $emf are connected to an external resistance R. The internal resistance of the two sources are {R_1} and {R_2}\left( {{R_1} > {R_1}} \right). If the potential difference across the source having internal resistance {R_2}$ is zero, then
Options:
A) R = {R_2} - {R_1}
B) R = {R_2} \times \left( {{R_1} + {R_2}} \right)/\left( {{R_2} - {R_1}} \right)
C) R = {R_1}{R_2}/\left( {{R_2} - {R_1}} \right)
D) R = {R_1}{R_2}/\left( {{R_1} - {R_2}} \right)
425
MediumJEE Mains2005
An energy source will supply a constant current into the load if its internal resistance is
Options:
A) very large as compared to the load resistance
B) equal to the resistance of the load
C) non-zero but less than the resistance of the load
D) zero
426
MediumJEE Mains2005
A moving coil galvanometer has $150 equal divisions. Its current sensitivity is 10- divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms$ needed to be connected in series with the coil will be -
Options:
A) {10^5}
B) {10^3}
C) 9995
D) 99995
427
MediumJEE Mains2005
In the circuit, the galvanometer $G shows zero deflection. If the batteries A and B have negligible internal resistance, the value of the resistor R$ will be -
Options:
A) 100\Omega
B) 200\Omega
C) 1000\Omega
D) 500\Omega
428
MediumJEE Mains2005
Two voltmeters, one of copper and another of silver, are joined in parallel. When a total charge $q flows through the voltmeters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are {Z_1} and {Z_2}$ respectively the charge which flows through the silver voltmeter is
Options:
A) {q \over {1 + {{{Z_2}} \over {{Z_1}}}}}
B) {q \over {1 + {{{Z_1}} \over {{Z_2}}}}}
C) q{{{Z_2}} \over {{Z_1}}}
D) q{{{Z_1}} \over {{Z_2}}}
429
MediumJEE Mains2005
A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be
Options:
A) four times
B) doubled
C) halved
D) one fourth
430
MediumJEE Mains2005
In a potentiometer experiment the balancing with a cell is at length $240 cm. On shunting the cell with a resistance of 2\Omega , the balancing length becomes 120 cm$. The internal resistance of the cell is
Options:
A) 0.5\Omega
B) 1\Omega
C) 2\Omega
D) 4\Omega
431
MediumJEE Mains2005
The resistance of hot tungsten filament is about $10 times the cold resistance. What will be resistance of 100 W and 200 V$ lamp when not in use ?
Options:
A) 20\Omega
B) 40\Omega
C) 200\Omega
D) 400\Omega
432
MediumJEE Mains2004
The thermo $emf of a thermocouple varies with temperature \theta of the hot junction as E = a\theta + b{\theta ^2} in volts where the ratio a/b is {700^ \circ }C. If the cold junction is kept at {0^ \circ }C,$ then the neutral temperature is
Options:
A) {1400^ \circ }C
B) {350^ \circ }C
C) {700^ \circ }C
D) No neutral temperature is possible for this termocouple.
433
MediumJEE Mains2004
An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the lengths and radii are in the ratio of ${4 \over 3} and {2 \over 3}$, then the ratio of the current passing through the wires will be
Options:
A) 8/9
B) 1/3
C) 3
D) 2
434
MediumJEE Mains2004
The Kirchhoff's first law $\left( {\sum i = 0} \right) and second law \left( {\sum iR = \sum E} \right),$ where the symbols have their usual meanings, are respectively based on
Options:
A) conservation of charge, conservation of momentum
B) conservation of energy, conservation of charge
C) conservation of momentum, conservation of charge
D) conservation of charge, conservation of energy
435
MediumJEE Mains2004
Thermistors are usually made of
Options:
A) metal oxides with high temperature coefficient of resistivity
B) metals with high temperature coefficient of resistivity
C) metals with low temperature coefficient of resistivity
D) semiconducting materials having low temperature
436
MediumJEE Mains2004
In a meter bridge experiment null point is obtained at $20 cm, from one end of the wire when resistance X is balanced against another resistance Y. If X < Y, then where will be the new position of the null point from the same end, if one decides to balance a resistance of 4 X against Y
Options:
A) 40 cm
B) 80 cm
C) 50 cm
D) 70 cm
437
MediumJEE Mains2004
The electrochemical equivalent of a metal is ${3.35109^{ - 7}} kg per Coulomb. The mass of the metal liberated at the cathode when a 3A current is passed for 2$ seconds will be
Options:
A) 6.6 \times {10^{57}}/kg
B) 9.9 \times {10^{ - 7}}\,kg
C) 19.8 \times {10^{ - 7}}\,kg
D) 1.1 \times {10^{ - 7}}\,kg
438
MediumJEE Mains2004
The resistance of the series combination of two resistances is $S. When they are jointed in parallel the total resistance is P. If S = nP then the Minimum possible value of n$ is
Options:
A) 2
B) 3
C) 4
D) 1
439
MediumJEE Mains2004
A material $'B' has twice the specific resistance of 'A'. A circular wire made of 'B' has twice the diameter of a wire made of 'A'. Then for the two wires to have the same resistance, the ratio {l \over B}/{l \over A}$ of their respective lengths must be
Options:
A) 1
B) {l \over 2}
C) {l \over 4}
D) 2
440
MediumJEE Mains2004
The total current supplied to the circuit by the battery is
Options:
A) 4A
B) 2A
C) 1A
D) 6A
441
MediumJEE Mains2003
A $3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current {\rm I}$, in the circuit will be
Options:
A) 1 A
B) 1.5 A
C) 2 A
D) 1/3 A
442
MediumJEE Mains2003
The nagative $Zn pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by 0.13g in 30 minutes. If the electrochemical equivalent of Zn and Cu are 32.5 and 31.5 respectively, the increase in the mass of the positive Cu$ pole in this time is
Options:
A) 0.180 g
B) 0.141 g
C) 0.126 g
D) 0.242 g
443
MediumJEE Mains2003
A $220 volt, 1000 watt bulb is connected across a 110 volt$ mains supply. The power consumed will be
Options:
A) 750$ watt
B) 500$ watt
C) 250$ watt
D) 1000$ watt
444
MediumJEE Mains2003
The length of a wire of a potentiometer is $100 cm, and the e. m. f. of its standard cell is E volt. It is employed to measure the e.m.f. of a battery whose internal resistance in 0.5\Omega . If the balance point is obtained at 1=30 cm from the positive end, the e.m.f. of the battery is where i$ is the current in the potentiometer wire.
Options:
A) {{30E} \over {100.5}}
B) {{30E} \over {\left( {100 - 0.5} \right)}}
C) {{30\left( {E - 0.5i} \right)} \over {100}}
D) {{30E} \over {100}} - 0.5i$, where i is the current in the potentiometer
wire
445
MediumJEE Mains2003
The thermo $e.m.f. of a thermo -couple is 25 \mu V/{}^ \circ C at room temperature. A galvanometer of 40 ohm resistance, capable of detecting current as low as {10^{ - 5}}\,A,$ is connected with the thermo couple. The smallest temperature difference that can be detected by this system is
Options:
A) {16^0}C
B) {12^0}C
C) {8^0}C
D) {20^0}C
446
MediumJEE Mains2003
An ammeter reads upto $1 ampere. Its internal resistance is 0.81 ohm. To increase the range to 10 A$ the value of the required shunt is
Options:
A) 0.03\,\Omega
B) 0.3\,\Omega
C) 0.9\,\Omega
D) 0.09\,\Omega
447
MediumJEE Mains2003
The length of a given cylindrical wire is increased by $100\% $. Due to the consequent decrease in diameter the change in the resistance of the wire will be
Options:
A) 200\%
B) 100\%
C) 50\%
D) 300\%
448
MediumJEE Mains2002
If ${\theta _1}, is the inversion temperature, {\theta _n} is the neutral temperature, {\theta _c}$ is the temperature of the cold junction, then
Options:
A) {\theta _i} + {\theta _c} = {\theta _n}
B) {\theta _i} - {\theta _c} = 2{\theta _n}
C) {{{\theta _i} + {\theta _C}} \over 2} = {\theta _n}
D) {\theta _c} - {\theta _i} = 2{\theta _n}
449
MediumJEE Mains2002
The mass of product liberated on anode in an electrochemical cell depends on (where $t$ is the time period for which the current is passed).
Options:
A) {\left( {It} \right)^{1/2}}
B) It
C) I/t
D) {I^2}t
450
MediumJEE Mains2002
If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a
Options:
A) low resistance in parallel
B) high resistance in parallel
C) high resistance in series
D) low resistance in series
451
MediumJEE Mains2002
A wire when connected to $220 V mains supply has power dissipation {P_1}. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is {P_2}. Then {P_2}:{P_1}$ is
Options:
A) 1
B) 4
C) 2
D) 3
452
MediumJEE Mains2002
If in the circuit, power dissipation is $150W, then R$ is
Options:
A) 2\,\Omega
B) 6\,\Omega
C) 5\,\Omega
D) 4\,\Omega
453
MediumMHT CET2025
A 2.5 V battery is connected to a potentiometer wire. A cell of e.m.f. 1.08 V is balanced by the voltage drop across 2.16 m of wire. The length of the potentiometer wire is
Options:
A) 2.5 m
B) 3 m
C) 5 m
D) 6 m
454
MediumMHT CET2025
In metre-bridge experiment the balance point is obtained if the gaps are closed by 2 \Omega and 3 \Omega. A shunt of \mathrm{x} \Omega is added to 3 \Omega resistor to shift the balance point by 22.5 cm . The value of x is
Options:
A) 3
B) 2
C) 1
D) 4
455
MediumMHT CET2025
In the following circuit, current through ACB if each resistance \mathrm{R}=4 \Omega is
Options:
A) 1 A
B) 2 A
C) 3 A
D) 4 A
456
MediumMHT CET2025
Kirchhoff's voltage law and current law are based (respectively) on the conservation of
Options:
A) momentum, charge
B) energy, charge
C) charge, momentum
D) charge, energy
457
MediumMHT CET2025
When a resistance of 100 \Omega is connected in series with a galvanometer of resistance ' G ', its range is ' V '. To double its range, a resistance of 1000 \Omega is connected in series. The value of ' G ' is
Options:
A) 400 \Omega
B) 800 \Omega
C) 1000 \Omega
D) 1200 \Omega
458
MediumMHT CET2025
The potentiometer wire is 5 m long and potential difference of 4 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 200 cm of the potentiometer wire is
Options:
A) 0.4 V
B) 0.8 V
C) 1.2 V
D) 1.6 V
459
MediumMHT CET2025
Two batteries of e.m.f 4 V and 8 V with internal resistance 1 \Omega and 2 \Omega respectively are connected in a circuit with a resistance of 9 \Omega as shown in the figure. The current and potential difference between the points ' P ' and ' Q ' is \mathrm{R}=9 \Omega
Options:
A) \frac{1}{3} \mathrm{~A} and 4 V
B) \frac{1}{3} A and 3 V
C) \frac{1}{2} A and 5 V
D) \frac{1}{6} \mathrm{~A} and 3 V
460
MediumMHT CET2025
With a resistance ' X ' connected in series with a galvanometer of resistance 100 \Omega, it acts as a voltmeter of range 0-15 \mathrm{~V}. To double the range, a resistance of 1500 \Omega is to be connected in series with ' X '. The value of ' X ' in ohm is
Options:
A) 900
B) 1100
C) 1400
D) 1600
461
MediumMHT CET2025
The current (I) drawn from the battery in the given circuit is
Options:
A) 0.2 A
B) 0.5 A
C) 0.6 A
D) 0.8 A
462
MediumMHT CET2025
The value of the shunt resistance that allows 10 \% of the main current through the galvanometer of 99 \Omega is
Options:
A) 9 \Omega
B) 11 \Omega
C) 13 \Omega
D) 15 \Omega
463
MediumMHT CET2025
The length of a potentiometer wire is ' L '. A cell of e.m.f. ' E ' is balanced at a length \frac{L}{4} from the positive end of the wire. If the length of the original wire is increased by \frac{\mathrm{L}}{3}, then using the same cell null point is obtained at
Options:
A) \frac{\mathrm{L}}{4}
B) \frac{\mathrm{L}}{3}
C) \frac{\mathrm{L}}{2}
D) \frac{3 L}{4}
464
MediumMHT CET2025
Two cells of e.m.f.s E_1 and E_2\left(E_1>E_2\right) are connected as shown in figure. When the potentiometer is connected between A and B , the balancing length of the potentiometer wire is 3.60 m . On connecting the potentiometer between A and C , the balancing length is 0.90 m . The ratio E_1 / E_2 is
Options:
A) 5: 4
B) 4: 3
C) 3: 4
D) 4: 5
465
MediumMHT CET2025
The equivalent resistance of the following circuit when no current flows in the resistance of 5 \Omega is nearly
Options:
A) 13 \Omega
B) 17 \Omega
C) 19 \Omega
D) 21 \Omega
466
MediumMHT CET2025
In the following circuit, the current through 6 \Omega resistor is
Options:
A) \frac{1}{5} \mathrm{~A}
B) \frac{2}{5} \mathrm{~A}
C) \frac{1}{4} \mathrm{~A}
D) \frac{3}{4} \mathrm{~A}
467
MediumMHT CET2025
When cell of e.m.f. ' E_1 ' is connected to potentiometer wire, the balancing length is ' l_l '. Another cell of e.m.f. ' E_2 ' \left(E_1>E_2\right) is connected so that two cells oppose each other, the balancing length is ' l_1 '. The ratio E_1: E_2 is
Options:
A) \frac{l_1}{l_1+l_2}
B) \frac{l_1}{l_1-l_2}
C) \frac{l_1-l_2}{l_1}
D) \frac{l_1+l_2}{l_1-l_2}
468
MediumMHT CET2025
In the given circuit, current flowing through the circuit is
Options:
A) 2 A
B) 2.5 A
C) 5 A
D) 4 A
469
MediumMHT CET2025
The voltmeter has range 10 V and its internal resistance is 50 \Omega. To increase the range of voltmeter to 15 V , the resistance which is to be connected is
Options:
A) 125 \Omega resistance in parallel
B) 125 \Omega resistance in series
C) 25 \Omega resistance in parallel
D) 25 \Omega resistance in series
470
MediumMHT CET2025
In the given electrical network, the value of resistance ' R ' when the current in the galvanometer will be zero, is
Options:
A) 4 \Omega
B) 6 \Omega
C) 7 \Omega
D) 10 \Omega
471
MediumMHT CET2025
In the circuit shown in the figure, P \neq R. The reading of the galvanometer remains the same with switch ' S ' open or closed. Then
Options:
A) \mathrm{I}_{\mathrm{Q}}=\mathrm{I}_{\mathrm{G}}
B) \quad \mathrm{I}_{\mathrm{Q}}=\mathrm{I}_{\mathrm{R}}
C) \mathrm{I}_{\mathrm{R}}=\mathrm{I}_{\mathrm{G}}
D) \mathrm{I}_{\mathrm{P}}=\mathrm{I}_{\mathrm{G}}
472
MediumMHT CET2025
If an ammeter is to be used in place of a galvanometer then we must connect
Options:
A) low resistance in parallel.
B) high resistance in series.
C) high resistance in parallel.
D) low resistance in series.
473
MediumMHT CET2025
The length of a potentiometer wire is ' L ' . A cell of e.m.f. E is balanced at a length \frac{L}{5} from the positive end of the wire. If the length of the wire is increased by \frac{L}{2}, the same cell will give balance point at distance ' x '. The value of ' x ' is
Options:
A) \frac{5 \mathrm{~L}}{12}
B) \frac{4 \mathrm{~L}}{15}
C) \frac{3 \mathrm{~L}}{10}
D) \frac{2 \mathrm{~L}}{15}
474
MediumMHT CET2025
\text { The value of current I in the given circuit is }
Options:
A) 7 A
B) 8 A
C) 18 A
D) 10 A
475
MediumMHT CET2025
The reading of the ammeter in the following circuit is
Options:
A) 3 A
B) 6 A
C) 12 A
D) 9 A
476
MediumMHT CET2025
If the length of the potentiometer wire is increased by keeping constant potential difference across the wire, then
Options:
A) the null point is obtained at shorter distance.
B) the potential gradient is increased.
C) the null point is obtained at larger distance.
D) there is no change in the null point.
477
MediumMHT CET2025
Only 4 \% of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is G , then the shunt resistance connected to the galvanometer is
Options:
A) \frac{\mathrm{G}}{25}
B) \frac{\mathrm{G}}{24}
C) 24 G
D) 25 G
478
MediumMHT CET2025
The potential difference \left(V_A-V_B\right) between the points A and B in the given figure is
Options:
A) 6 V
B) -3 V
C) 9 V
D) 3 V
479
MediumMHT CET2025
A null point is obtained at 200 cm on potentiometer wire when cell in secondary circuit is shunted by 5 \Omega. When a resistance of 15 \Omega is used for shunting, null point moves to 300 cm . The internal resistance of the cell is
Options:
A) 3 \Omega
B) 4 \Omega
C) 5 \Omega
D) 6 \Omega
480
MediumMHT CET2025
To determine the internal resistance of a cell with potentiometer, when the cell is shunted by a resistance of 5 \Omega the balancing length is 250 cm . When the cell is shunted by 20 \Omega, the balancing length of potentiometer wire is 400 cm . The internal resistance , of the cell is
Options:
A) 3 \Omega
B) 4 \Omega
C) 5 \Omega
D) 6 \Omega
481
MediumMHT CET2025
Two cells E_1 and E_2 having equal e.m.f ' E ' and internal resistances r_1 and r_2\left(r_1>r_2\right) respectively are connected in series. This combination is connected to an external resistance ' R '. It is observed that the potential difference across the cell E_1 becomes zero. The value of R will be
Options:
A) \mathrm{r}_1-\mathrm{r}_2
B) r_1+r_2
C) \frac{r_1-r_2}{2}
D) \frac{r_1+r_2}{2}
482
MediumMHT CET2025
If only 5 \% of the total current is to be passed through galvanometer of resistance G , then the resistance of the shunt will be
Options:
A) \frac{\mathrm{G}}{15}
B) \frac{\mathrm{G}}{17}
C) \frac{\mathrm{G}}{19}
D) \frac{\mathrm{G}}{21}
483
MediumMHT CET2025
The scale of a galvanometer is divided into 160 equal divisions. The galvanometer shows full scale deflection of 16 mA and maximum voltage is 80 mV . Now the range is changed so that galvanometer reads 160 V . The required resistance to be connected is
Options:
A) 9995 \Omega in series.
B) 4995 \Omega in series.
C) 9.5 \times 10^{-3} \Omega in parallel.
D) 4.95 \times 10^{-3} \Omega in parallel.
484
MediumMHT CET2024
Two identical galvanometers are converted into an ammeter and into milliammeter. For the same current, the value of shunt of the ammeter as compared to that of milliammeter is
Options:
A) less
B) equal
C) more
D) zero
485
MediumMHT CET2024
When a resistance of 200 \Omega is connected in series with a galvanometer of resistance ' G ', its range is ' V '. To triple its range, a resistance of 2000 \Omega is connected in series. The value of ' G ' is
Options:
A) 200 \Omega
B) 400 \Omega
C) 600 \Omega
D) 700 \Omega
486
MediumMHT CET2024
When a resistance of 100 \Omega is connected in series with a galvanometer of resistance G , its range is V . To double its range a resistance of 1000 \Omega is connected in series. The value of G is
Options:
A) 800 \Omega
B) 300 \Omega
C) 200 \Omega
D) 100 \Omega
487
MediumMHT CET2024
The potential difference \left(V_A-V_B\right) between the points A and B in the given part of the circuit
Options:
A) -13V
B) 13V
C) -23V
D) 23V
488
MediumMHT CET2024
The figure shows currents in a part of electric circuit. Then current I is
Options:
A) 3.5 A
B) 1.5 A
C) 4 A
D) 2.5 A
489
MediumMHT CET2024
A galvanometer may be converted into ammeter or a voltmeter. In which of the following cases the resistance of the device so obtained will be the largest?
Options:
A) Ammeter of range 1 A
B) Ammeter of range 10 A
C) Voltmeter of range 1 V
D) Voltmeter of range 10 V
490
MediumMHT CET2024
A galvanometer has resistance 80 \Omega and it is shunted with resistance 20 \Omega. If 20 \% of the main current flows through galvanometer, then what is the value of main current?
Options:
A) 0.2 A
B) 0.8 A
C) 1 A
D) 1.2 A
491
MediumMHT CET2024
A cell balances against a length of 150 cm on a potentiometer wire when it is shunted by a resistance of 5 \Omega. But when it is shunted by a resistance of 10 \Omega, then balancing length increases by 25 cm . The balancing length when the cell is in an open circuit is
Options:
A) 200 cm
B) 210 cm
C) 225 cm
D) 250 cm
492
MediumMHT CET2024
A battery of 6 V is connected to the ends of uniform wire 3 m long and of resistance 100 \Omega. The difference of potential between two points 50 cm apart on the wire is
Options:
A) 1 V
B) 1.5 V
C) 2 V
D) 3 V
493
MediumMHT CET2024
Kirchhoff's second law is based on the law of conservation of
Options:
A) charge
B) energy
C) momentum
D) inter conversion of mass into energy
494
MediumMHT CET2024
In the following electrical network, the value of I is
Options:
A) 1 A
B) 2 A
C) 3 A
D) 4 A
495
MediumMHT CET2024
The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)
Options:
A) 1.2 A
B) 2.4 A
C) 4 A
D) 4.8 A
496
MediumMHT CET2024
The potential difference \left(V_A-V_B\right) between the points ' A ' and ' B ' in the given part of the circuit is
Options:
A) -3 V
B) 3 V
C) 6 V
D) 9 V
497
MediumMHT CET2024
In an ammeter, 0.25 \% of main current passes through the galvanometer. If the resistance of the galvanometer is ' G ', the resistance of ammeter will be
Options:
A) \frac{399}{400} \mathrm{G}
B) \frac{1}{400} \mathrm{G}
C) \frac{499}{500} \mathrm{G}
D) \frac{1}{500} \mathrm{G}
498
MediumMHT CET2024
In potentiometer experiment, cells of e.m.f. E_1 and E_2 are connected in series \left(E_1>E_2\right) the balancing length is 80 cm of the wire. If the polarity of E_2 is reversed, the balancing length becomes 20 cm. The ratio \mathrm{E}_1 / \mathrm{E}_2 is
Options:
A) 1: 2
B) 2: 3
C) 3: 4
D) 5: 3
499
MediumMHT CET2024
In the circuit, current flowing through the circuit is
Options:
A) 2A
B) 3A
C) 4A
D) 5A
500
MediumMHT CET2024
Two identical galvanometers are converted into voltmeter and millivoltmeter. As compared to the series resistance of voltmeter, the series resistance of millivoltmeter will be
Options:
A) equal
B) more
C) less
D) zero
501
MediumMHT CET2024
Potential difference between the points A and B is nearly
Options:
A) 10 V
B) 14 V
C) 18 V
D) 20 V
502
MediumMHT CET2024
In the following circuit, the reading in the ammeter is
Options:
A) 25.1 mA
B) 22.5 mA
C) 21.5 mA
D) 21.25 mA
503
MediumMHT CET2024
In an ammeter, 4 \% of the main current is passing through the galvanometer, If shunt resistance is 5 \Omega, then resistance of galvanometer will be
Options:
A) 60 \Omega
B) 120 \Omega
C) 240 \Omega
D) 480 \Omega
504
MediumMHT CET2024
When the two known resistance ' R ' and ' S ' are connected in the left and right gaps of a meter bridge respectively, the null point is found at a distance ' l_1 ' from the zero end of a meter bridge wire. An unknown resistance ' X ' is now connected in parallel with ' S ' and null point is found at a distance ' l_2 ' form zero end of meter bridge wire. The unknown resistance ' X ' is
Options:
A) \frac{\mathrm{S} l_1\left(100-l_2\right)}{100\left(l_2-l_1\right)}
B) \frac{\mathrm{S} l_2\left(100-l_1\right)}{100\left(l_1-l_2\right)}
C) \frac{100\left(l_2-l_1\right)}{\mathrm{Sl}_1\left(100-l_2\right)}
D) \frac{100\left(l_2-l_1\right)}{\mathrm{S} l_2\left(100-l_1\right)}
505
MediumMHT CET2024
In a Wheatstone's bridge, the resistances in four arms are as shown in the figure. The balancing condition of the bridge is
Options:
A) \frac{\mathrm{P}}{\mathrm{Q}}=\frac{\mathrm{R}}{\mathrm{S}_1+\mathrm{S}_2}
B) \frac{P}{Q}=\frac{R\left(S_1 S_2\right)}{S_1+S_2}
C) \frac{P}{Q}=\frac{R\left(S_1+S_2\right)}{2 S_1 S_2}
D) \frac{\mathrm{P}}{\mathrm{Q}}=\frac{\mathrm{R}\left(\mathrm{S}_1+\mathrm{S}_2\right)}{\mathrm{S}_1 \mathrm{~S}_2}
506
MediumMHT CET2024
When a galvanometer is shunted by a resistance ' s ', its current capacity increases ' n ' times. If the same galvanometer is shunted by another resistance ' s_1 ', its capacity will increase to ' n_1 ' times original current. The value of ' n_1 ' is
Options:
A) \frac{(\mathrm{n}+\mathrm{s})}{\mathrm{s}_1}
B) \frac{s_1(n-s)-s_1}{s_1}
C) \frac{(n+1) s}{s_1}
D) \frac{\mathrm{s}(\mathrm{n}-1)+\mathrm{s}_1}{\mathrm{~s}_1}
507
MediumMHT CET2024
In a meter bridge experiment, the balance point is obtained if the gaps are closed by 2 \Omega and 3 \Omega. A shunt of \mathrm{X} \Omega is added to 3 \Omega resistor to shift the null point by 22.5 cm. The value of ' x ' is
Options:
A) 1 \Omega
B) 2 \Omega
C) 3 \Omega
D) 4 \Omega
508
MediumMHT CET2024
A potentiometer wire of length 1 m is connected in series with 495 \Omega resistance and 2 V battery. If 0.2 \mathrm{mV} / \mathrm{cm} is the potential gradient, then the resistance of the potentiometer wire is
Options:
A) 8 \Omega
B) 6 \Omega
C) 7 \Omega
D) 5 \Omega
509
MediumMHT CET2024
When a galvanometer is shunted by a resistance ' S ', its current capacity increases ' n ' times. If the same galvanometer is shunted by another resistance \mathrm{S}^{\prime}, its current capacity increases to \mathrm{n}^{\prime}. The value of n^{\prime} in terms of n, S and S^{\prime} is
Options:
A) \frac{\mathrm{n}+\mathrm{S}}{\mathrm{S}^{\prime}}
B) \frac{\mathrm{S}(\mathrm{n}-1)-\mathrm{S}^{\prime}}{\mathrm{S}^{\prime}}
C) \frac{(\mathrm{n}+1) \mathrm{S}}{\mathrm{S}^{\prime}}
D) \frac{\mathrm{S}(\mathrm{n}-1)+\mathrm{S}^{\prime}}{\mathrm{S}^{\prime}}
510
MediumMHT CET2024
Resistances in the left gap and right gap of a meter bridge are 10 \Omega and 30 \Omega respectively. If the resistances in the two gaps are interchanged, the balance point will shift to right by
Options:
A) 30 cm
B) 40 cm
C) 50 cm
D) 60 cm
511
MediumMHT CET2024
In the following circuit, a power of 50 watt is absorbed in the section AB of the circuit. The value of resistance ' x ' is
Options:
A) 10 \Omega
B) 8 \Omega
C) 6 \Omega
D) 4 \Omega
512
MediumMHT CET2024
The range of voltmeter of resistance ' G ' \Omega is ' V ' volt. The resistance required to be connected in series with it in order to convert it into a voltmeter of range ' n V ' volt, will be
Options:
A) (\mathrm{n}-1) \mathrm{G}
B) \mathrm{G} / \mathrm{n}
C) \mathrm{nG}
D) \mathrm{\frac{G}{n}-1}
513
MediumMHT CET2024
When cell of E.M.F. ' E_1 ' is connected to potentiometer wire, the balancing length is l_1. Another cell of E.M.F. ' E_2 ' \left(E_1>E_2\right) is connected so that two cells oppose each other, then the balancing length is l_2. The ratio \mathrm{E}_1: \mathrm{E}_2 is
Options:
A) \frac{l_1}{l_1+l_2}
B) \frac{l_1}{l_1-l_2}
C) \frac{l_1+l_2}{l_1}
D) \frac{l_1+l_2}{l_1-l_2}
514
MediumMHT CET2024
The current flowing in a coil is 3 A and the power consumed is 108 W . If the a.c. source is of 120 \mathrm{~V}, 50 \mathrm{~Hz}, the resistance in the circuit is
Options:
A) 24 \Omega
B) 36 \Omega
C) 12 \Omega
D) 6 \Omega
515
MediumMHT CET2024
In the following circuit, the current flowing through zener diode is
Options:
A) 35 mA
B) 25 mA
C) 15 mA
D) 5 mA
516
MediumMHT CET2024
In the following circuit, the current \mathrm{I_2} is
Options:
A) 5 A
B) 3 A
C) -3A
D) -\frac{5}{6} A
517
MediumMHT CET2024
A galvanometer of resistance ' G ' is shunted by resistance of 'S' ohm. To keep the main current in the circuit unchanged the resistance to be put in series with Galvanometer is
Options:
A) \mathrm{\frac{G^2}{S+G}}
B) \frac{\mathrm{G}}{\mathrm{S}+\mathrm{G}}
C) \mathrm{\frac{S^2}{G+S}}
D) \mathrm{\frac{G S}{S+G}}
518
MediumMHT CET2024
The resistances in the left and right gap of a metre bridge are 40 \Omega and 60 \Omega respectively. When the bridge is balanced, the distance of the null point from the centre of the wire towards left is
Options:
A) 5 cm
B) 10 cm
C) 15 cm
D) 20 cm
519
MediumMHT CET2023
When moving coil galvanometer (MCG) is converted into a voltmeter, the series resistance is '$n$' times the resistance of galvanometer. How many times that of MCG the voltmeter is now capable of measuring voltage?
Options:
A) \mathrm{n}
B) \frac{\mathrm{n}+1}{\mathrm{n}}
C) \mathrm{n}+1
D) \mathrm{n}-1
520
MediumMHT CET2023
In potentiometer experiment, the balancing length is $8 \mathrm{~m} when two cells E_1 and E_2 are joined in series. When two cells are connected in opposition the balancing length is 4 \mathrm{~m}. The ratio of the e.m.f. of the two cells \left(\frac{E_1}{E_2}\right)$ is
Options:
A) 1: 2
B) 2: 1
C) 1: 3
D) 3: 1
521
MediumMHT CET2023
A wire of length $3 \mathrm{~m} connected in the left gap of a meter-bridge balances 8 \Omega resistance in the right gap at a point, which divides the bridge wire in the ratio 3: 2. The length of the wire corresponding to resistance of 1 \Omega$ is
Options:
A) 1 \mathrm{~m}
B) 0.75 \mathrm{~m}
C) 0.5 \mathrm{~m}
D) 0.25 \mathrm{~m}
522
MediumMHT CET2023
Five current carrying conductors meet at point $\mathrm{P}. What is the magnitude and direction of the current in conductor \mathrm{PQ}$?
Options:
A) 1 A form Q to P
B) 1 A form P to Q
C) 3 A form P to Q
D) 2 A form Q to P
523
MediumMHT CET2023
A $10 \mathrm{~m} long wire of resistance 20 \Omega is connected in series with a battery of emf 3 \mathrm{~V} (negligible internal resistance) and a resistance of 10 \Omega$. The potential gradient along the wire is
Options:
A) 3 \mathrm{~V} / \mathrm{m}
B) 0.1 \mathrm{~V} / \mathrm{m}
C) 0.2 \mathrm{~V} / \mathrm{m}
D) 0.3 \mathrm{~V} / \mathrm{m}
524
MediumMHT CET2023
Only $4 \% of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is G$, then the shunt resistance connected to the galvanometer is
Options:
A) \frac{G}{25}
B) \frac{G}{24}
C) 24G
D) 25G
525
MediumMHT CET2023
Two cells $E_1 and E_2 having equal EMF 'E' and internal resistances r_1 and r_2\left(r_1>r_2\right) respectively are connected in series. This combination is connected to an external resistance 'R'. It is observed that the potential difference across the cell \mathrm{E}_1 becomes zero. The value of 'R$' will be
Options:
A) r_1-r_2
B) \mathrm{r}_1+\mathrm{r}_2
C) \frac{r_1-r_2}{2}
D) \frac{r_1+r_2}{2}
526
MediumMHT CET2023
In a given meter bridge, the current flowing through $40 \Omega$ resistor is
Options:
A) \mathrm{I}_2+\mathrm{I}_{\mathrm{g}}
B) \mathrm{I}_{\mathrm{g}}
C) \mathrm{I}_2-\mathrm{I}_{\mathrm{g}}
D) \mathrm{I}_2
527
MediumMHT CET2023
A potentiometer wire of length $4 \mathrm{~m} and resistance 5 ~\Omega is connected in series with a resistance of 992 ~\Omega and a cell of e.m.f. 4 \mathrm{~V} with internal resistance 3 ~\Omega. The length of 0.75 \mathrm{~m}$ on potentiometer wire balances the e.m.f. of
Options:
A) 4.00 mV
B) 3.75 mV
C) 3.00 mV
D) 2.50 mV
528
MediumMHT CET2023
Two resistance $\mathrm{X} and \mathrm{Y} are connected in the two gaps of a meterbridge and the null points is obtained at 20 \mathrm{~cm} from zero end. When the resistance of 20 \Omega is connected in series with the smaller of the two resistance \mathrm{X} and \mathrm{Y}, the null point shifts to 40 \mathrm{~cm}$ from left end. The value of smaller resistance in ohm is
Options:
A) 6
B) 9
C) 12
D) 15
529
MediumMHT CET2023
Resistance of a potentiometer wire is $2 \Omega / \mathrm{m}. A cell of e.m.f. 1.5 \mathrm{~V} balances at 300 \mathrm{~cm}$. The current through the wire is
Options:
A) 2.5 \mathrm{~mA}
B) 7.5 \mathrm{~mA}
C) 250 \mathrm{~mA}
D) 750 \mathrm{~mA}
530
MediumMHT CET2023
A potentiometer wire has length of $5 \mathrm{~m} and resistance of 16 \Omega. The driving cell has an e.m.f. of 5 \mathrm{~V} and an internal resistance of 4 \Omega. When the two cells of e.m.f.s 1.3 \mathrm{~V} and 1.1 \mathrm{~V}$ are connected so as to assist each other and then oppose each other, the balancing lengths are respectively
Options:
A) 3 \mathrm{~m}, 0.25 \mathrm{~m}
B) 0.25 \mathrm{~m}, 3 \mathrm{~m}
C) 2.5 \mathrm{~m}, 0.3 \mathrm{~m}
D) 0.3 \mathrm{~m}, 2.5 \mathrm{~m}
531
MediumMHT CET2023
Two batteries, one of e.m.f. $12 \mathrm{~V} and internal resistance 2 \Omega and other of e.m.f. 6 \mathrm{~V} and internal resistance 1 \Omega$, are connected as shown in the figure. What will be the reading of the voltmeter 'V'?
Options:
A) 12 V
B) 8 V
C) 6 V
D) 4 V
532
MediumMHT CET2023
Potential difference between the points P and Q is nearly
Options:
A) 17 V
B) 14 V
C) 12 V
D) 8 V
533
MediumMHT CET2023
Potential difference between the points P and Q is nearly
Options:
A) 6 V
B) 8 V
C) 17 V
D) 21 V
534
MediumMHT CET2023
In potentiometer experiments, two cells of e. m. f. '$E_1' and 'E_2' are connected in series \left(E_1>E_2\right), the balancing length is 64 \mathrm{~cm} of the wire. If the polarity of E_2 is reversed, the balancing length becomes 32 \mathrm{~cm}. The ratio \mathrm{E}_1 / \mathrm{E}_2$ is
Options:
A) 3: 2
B) 2: 3
C) 1: 3
D) 3: 1
535
MediumMHT CET2023
In meter bridge experiment, null point was obtained at a distance '$l$' from left end. The values of resistances in the left and right gap are doubled and then interchanged. The new position of the null point is
Options:
A) (100-l)
B) (100-2 l)
C) (100-3 l)
D) \left(100-\frac{l}{2}\right)
536
MediumMHT CET2023
A galvanometer has resistance '$\mathrm{G}' and range '\mathrm{V} g'. How much resistance is required to read voltage upto '\mathrm{V}$' volt?
Options:
A) \mathrm{G}\left(\frac{\mathrm{V}}{\mathrm{V}_{\mathrm{g}}}-1\right)
B) \mathrm{G}\left(\frac{\mathrm{V}+\mathrm{V}_{\mathrm{g}}}{\mathrm{V}}\right)
C) \mathrm{G}\left(\frac{\mathrm{V}-\mathrm{V}_{\mathrm{g}}}{\mathrm{V}}\right)
D) \mathrm{GV}_{\mathrm{g}}
537
MediumMHT CET2023
If only $1 \% of total current is passed through a galvanometer of resistance 'G$' then the resistance of the shunt is
Options:
A) \frac{G}{25} \Omega
B) \frac{\mathrm{G}}{49} \Omega
C) \frac{\mathrm{G}}{2} \Omega
D) \frac{\mathrm{G}}{99} \Omega
538
MediumMHT CET2023
A voltmeter of resistance $150 \Omega connected across a cell of e.m.f. 3 \mathrm{~V} reads 2.5 \mathrm{~V}$. What is the internal resistance of the cell?
Options:
A) 10 \Omega
B) 15 \Omega
C) 20 \Omega
D) 30 \Omega
539
MediumMHT CET2023
A galvanometer of resistance $20 ~\Omega gives a deflection of 5 divisions when 1 \mathrm{~mA}$ current flows through it. The galvanometer scale has 50 divisions. To convert the galvanometer into a voltmeter of range 25 volt, we should connect a resistance of
Options:
A) 1240 ~\Omega$ in series.
B) 2480 ~\Omega$ in series.
C) 2480 ~\Omega$ in parallel.
D) 20 ~\Omega$ in parallel.
540
MediumMHT CET2023
Five current carrying conductors meet at a point '$\mathrm{O}' as shown in figure. The magnitude and direction of the current in conductor 'O P$' is
Options:
A) 6.5 \mathrm{~A} from \mathrm{O} to \mathrm{P}$.
B) 9 \mathrm{~A} from \mathrm{P} to \mathrm{O}$.
C) 10.5 \mathrm{~A} from \mathrm{P} to \mathrm{O}$.
D) 11.5 \mathrm{~A} from \mathrm{O} to \mathrm{P}$.
541
MediumMHT CET2023
A galvanometer of resistance $\mathrm{G} is shunted with a resistance of 10 \% of \mathrm{G}$. The part of the total current that flows through the galvanometer is
Options:
A) \frac{1}{11} \mathrm{I}
B) \frac{2}{11} \mathrm{I}
C) \frac{1}{10} \mathrm{I}
D) \frac{1}{5} \mathrm{I}
542
MediumMHT CET2023
In a meter bridge experiment null point is obtained at $l \mathrm{~cm}$ from the left end. If the meter bridge wire is replaced by a wire of same material but twice the area of across-section, then the null point is obtained at a distance
Options:
A) 2 l \mathrm{~cm}$ from left end.
B) l \mathrm{~cm}$ from left end.
C) l / 2 \mathrm{~cm}$ from left end.
D) l / 4 \mathrm{~cm}$ from left end.
543
MediumMHT CET2022
In the following network, the current through galvanometer will
Options:
A) be zero
B) flow from $\mathrm{Q} to \mathrm{S}
C) flow in a direction which depends on value of $\mathrm{V}
D) flow from $\mathrm{S} to \mathrm{Q}
544
MediumMHT CET2022
A galvanometer of resistance $200 \Omega is to be converted into an ammeter. The value of shunt resistance which allows 3 \%$ of the mains current through the galvanometer is equal to (nearly)
Options:
A) 6 \Omega
B) 7 \Omega
C) 10 \Omega
D) 5 \Omega
545
MediumMHT CET2021
The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)
Options:
A) 2.4 A
B) 1.6 A
C) 2.0 A
D) 3.0 A
546
MediumMHT CET2021
In the following electrical network, the value of 1 is
Options:
A) 1.5 A
B) 3.0 A
C) 3.4 A
D) 2.5 A
547
MediumMHT CET2021
In a potentiometer experiement, when three cells $\mathrm{A}, \mathrm{B} and \mathrm{C} are connected in series, the balancing length is found to be 420 \mathrm{~cm}. If cells \mathrm{A} and \mathrm{B} are connected in series the balancing length is 220 \mathrm{~cm} and for cells \mathrm{B} and \mathrm{C} connected in series in balancing length is 320 \mathrm{~cm}. The emf of cells \mathrm{A}, \mathrm{B} and \mathrm{C}$ are respectively in the ratio of
Options:
A) 2: 3: 5
B) 5: 4: 3
C) 1: 1.2: 2
D) 1.2: 1: 2
548
MediumMHT CET2021
To determine the internal resistance of a cell by using a potentiometer, the null point is at $1 \mathrm{~m} when shunted by 3 \Omega resistance and at a length 1.5 \mathrm{~m}, when cell is shunted by 6 \Omega$ resistance The internal resistance of the cell is
Options:
A) 1 \Omega
B) 4 \Omega
C) 2 \Omega
D) 6 \Omega
549
MediumMHT CET2021
In the given circuit, the current in 8$\Omega$ resistance is 1.5 A. The total current (I) flowing in the circuit is
Options:
A) 5 A
B) 4.5 A
C) 3 A
D) 5.5 A
550
MediumMHT CET2021
A balanced bridge is shown in the circuit diagram. The metre bridge wire has resistance $1 \Omega \mathrm{m}^{-1}$. The current drawn from the battery is (Internal resistance of battery is negligible)
Options:
A) 0.44 A
B) 0.66 A
C) 0.88 A
D) 0.22 A
551
MediumMHT CET2021
In potentiometer experiment, cells of e.m.f. '$E_1' and 'E_2' are connected in series \left(E_1>E_2\right) the balancing length is 64 \mathrm{~cm} of the wire. If the polarity of E_2 is reversed, the balancing length becomes 32 \mathrm{~cm}. The ratio \frac{E_1}{E_2}$ is
Options:
A) 1: 1
B) 6: 1
C) 3: 1
D) 2: 1
552
MediumMHT CET2021
In a potentiometer experiment, the balancing length for a cell is $240 \mathrm{~cm}. On shunting the cell with a resistance of 2 \Omega$, the balancing length becomes half the initial balancing length. The internal resistance of the cell is
Options:
A) 1.5 \Omega
B) 1 \Omega
C) 0.5 \Omega
D) 2 \Omega
553
MediumMHT CET2021
Kirchhoff's current and voltage law are respectively based on the conservation of
Options:
A) momentum, charge
B) energy, charge
C) charge, energy
D) charge, momentum
554
MediumMHT CET2021
In a wheatstone's bridge, three resistances $\mathrm{P}, \mathrm{Q} and \mathrm{R} are connected in the three arms and the fourth arm is formed by two resistances S_1 and S_2$ connected in parallel. The condition for the bridge to be balanced is
Options:
A) \frac{P}{Q}=\frac{2 R}{S_1+S_2}
B) \frac{P}{Q}=\frac{R\left(S_1+S_2\right)}{2 S_1 S_2}
C) \frac{P}{Q}=\frac{R\left(S_1+S_2\right)}{S_1 S_2}
D) \frac{P}{Q}=\frac{R\left(S_1 S_2\right)}{S_1+S_2}
555
MediumMHT CET2021
If a current flowing in a coil is reduced to half of its initial value, the relation between the new energy $\left(E_2\right) and the original energy \left(E_1\right)$ stored in the coil will be
Options:
A) E_2=\frac{E_1}{4}
B) \mathrm{E}_2=\frac{\mathrm{E}_1}{2}
C) \mathrm{E}_2=\mathrm{E}_1
D) \mathrm{E}_2=4 \mathrm{E}_1
556
MediumMHT CET2021
The Kirchhoff's current law and voltage law are respectively based upon the conservation of
Options:
A) charge, energy
B) charge, momentum
C) energy, charge
D) momentum, charge
557
MediumMHT CET2021
A moving coil galvanometer is converted into an ammeter, reading upto $0.04 \mathrm{~A} by connecting a shunt of resistance '3 \mathrm{r}' across it and then into an ammeter reading upto 0.8 \mathrm{~A}, when a shunt of resistance 'r$' is connected across it. What is the maximum current which can be sent through this galvanometer if no shunt is used?
Options:
A) 0.02 \mathrm{~A}
B) 0.04 \mathrm{~A}
C) 0.08 \mathrm{~A}
D) 0.01 \mathrm{~A}
558
MediumMHT CET2021
A current through 1 $\Omega$ resistance in the following circuit is
Options:
A) 1.8 A
B) 1.2 A
C) 1.5 A
D) 1 A
559
MediumMHT CET2021
In a meter bridge experiment, the balance point is obtained at length $\ell_1 \mathrm{~cm} from left end when resistances in the left gap and right gap are 5 \Omega and R \Omega respectively. When the resistance R is shunted with equal resistance, the new balance point is at 1.6 \ell_1. The resitance R$ in ohm is
Options:
A) 25
B) 15
C) 10
D) 20
560
MediumMHT CET2021
Two wires '$\mathrm{A}' and '\mathrm{B}' of equal length are connected in left and right gap respectively of meter bridge, null point is obtained at 40 \mathrm{~cm}, from the left end. Diameters of the wires 'A' and 'B' are in the ratio 3: 1$ respectively, the ratio of specific resistance of 'A' to that of 'B' is
Options:
A) 6: 1
B) 8: 1
C) 16: 1
D) 12: 1
561
MediumMHT CET2021
A galvanometer has resistance '$\mathrm{G}' \Omega and '\mathrm{I}_{\mathrm{g}}' is current flowing through it which produces full scale deflection. '\mathrm{S}_1' is the value of shunt which converts it into an ammeter of range 0 to '3 \mathrm{I}' and '\mathrm{S}_2' is the shunt value which converts it into an ammeter of range 0 to '4 \mathrm{I}', the ratio \mathrm{S}_2: \mathrm{S}_1$ is
Options:
A) \frac{4}{3}
B) \frac{3 \mathrm{I}-\mathrm{I}_{\mathrm{g}}}{4 \mathrm{I}-\mathrm{I}_{\mathrm{g}}}
C) \frac{3}{4}
D) \frac{4 I-I_g}{3 I-I_g}
562
MediumMHT CET2021
In potentiometer experiment, null point is obtained at a particular point for a cell on potentiometer wire '$\mathrm{x}$' cm long. If length of potentiometer wire is increased by few centimeter without changing the cell, the balancing length will [Driving source is not changed]
Options:
A) will net change.
B) increase
C) decrease
D) become zero
563
MediumMHT CET2021
A galvanometer of resistance $50 \Omega is converted to an ammeter. After shunting, the effective resistance of ammeter is 2.5 \Omega$. The value of shunt is
Options:
A) \frac{100}{19} \Omega
B) \frac{50}{19} \Omega
C) \frac{25}{19} \Omega
D) \frac{75}{19} \Omega
564
MediumMHT CET2021
Consider the circuit shown in the figure. The value of current 'I' is
Options:
A) -\frac{7}{18}$A
B) 5A
C) 3A
D) -3$A
565
MediumMHT CET2020
A milliammeter of resistance 40 \Omega has a range 0-30 \mathrm{~mA}. What will be the resistance used in series to convert it into voltmeter of range 0-15 \mathrm{~V} ?
Options:
A) 460 \Omega
B) 920 \Omega
C) 640 \Omega
D) 560 \Omega
566
MediumMHT CET2020
Two cells having unknown emfs E_1 and E_2 \left(E_1>E_2\right) are connected in potentiometer circuit, so as to assist each other. The null point obtained is at 490 cm from the higher potential end. When cell E_2 is connected, so as to oppose cell E_1, the null point is obtained at 90 cm from the same end. The ratio of the emfs of two cells \left(\frac{E_1}{E_2}\right) is
Options:
A) 0.689
B) 5.33
C) 1.45
D) 0.182
567
MediumMHT CET2020
A 10 m long wire of resistance 20 \Omega is connected in series with a battery of emf 3 V and a resistance of 10 \Omega. The potential gradient along the wire in \mathrm{V} / \mathrm{m} is
Options:
A) 1.2
B) 0.10
C) 0.02
D) 0.20
568
MediumMHT CET2020
Two galvanometers A and B require currents of 4 mA and 7 mA , respectively to produce the same deflection of 20 divisions. If S_A and S_B are their sensitivities respectively, then
Options:
A) S_A< S_B
B) S_A>S_B
C) S_B=\frac{7}{4}=S_A
D) S_A=S_B=\frac{4}{7}
569
MediumMHT CET2020
A circular coil of radius $R has a resistance of 40 \Omega. Figure shows two points P and Q on the circumference separated by a distance \frac{\pi R}{2} which are connected to a 16 V battery with internal resistance of 0.5 \Omega. What is the value of current I$ flowing through the circuit?
Options:
A) 3A
B) 2A
C) 1A
D) 0.5A
570
MediumMHT CET2020
Which of the following instruments is not a direct reading instrument?
Options:
A) Electronic balance
B) Potentiometer
C) Ammeter
D) Voltmeter
571
MediumMHT CET2020
In conversion of moving coil galvanometer into an ammeter of required range, the resistance of ammeter, so formed is [$S= shunt and G=$ resistance of galvanometer]
Options:
A) \frac{S+G}{S G}
B) \frac{S G}{S+G}
C) \frac{S-G}{S G}
D) \frac{S G}{S-G}
572
MediumMHT CET2020
An ammeter of resistance $20 \Omega gives full scale deflection, when 1 \mathrm{~mA} current flows through it. What is the maximum current that can be measured by connecting 4 resistors each of 16 \Omega$ in parallel with the ammeter?
Options:
A) 6 mA
B) 4 mA
C) 8 mA
D) 2 mA
573
MediumMHT CET2020
Two wires $A and B of equal lengths are connected in left and right gap of a meter bridge, null point is obtained at 40 \mathrm{~cm} from left end. Diameters of the wire A and B are in that ratio 3: 1. The ratio of specific resistance of A to the of B$ is
Options:
A) 4: 1
B) 3: 1
C) 6: 1
D) 8: 1
574
MediumMHT CET2020
A potentiometer wire is $4 \mathrm{~m} long and potential difference of 3 \mathrm{~V} is maintained between the ends. The emf of the cell, which balances against a length of 100 \mathrm{~cm}$ of the potentiometer wire is
Options:
A) 0.60 V
B) 0.50 V
C) 0.25 V
D) 0.75 V
575
MediumMHT CET2019
A potentiometer wire has length L For given cell of emf E, the balancing length is \frac{L}{3} from the positive end of the wire. If the length of potentiometer wire is increased by 50 \%, then for the same cell, the balance point is obtained at length
Options:
A) \frac{L}{2} from positive end
B) \frac{L}{5} from positive end
C) \frac{L}{3} from positive end
D) \frac{L}{4} from positive end
576
MediumMHT CET2019
In the network shown cell E has internal resistance r and the galvanometer shows zero deflection. If the cell is replaced by a new cell of emf 2 E and internal resistance 3 r keeping everything else identical, then
Options:
A) The galvanometer will show deflection of 10 divisions.
B) The galvanometer show zero deflection,
C) Current will flow from B to A.
D) Current will flow from A to B.
577
MediumMHT CET2019
The range of an ammeter of resistance ' G can be increased from ' I ' to ' nI ' by connecting
Options:
A) a series resistance of \frac{G}{n+1} \Omega
B) a shunt of \frac{G}{n-1} \Omega
C) a shunt of \frac{G}{n+1} \Omega
D) a series resistance of \frac{G}{n-1} \Omega
578
MediumMHT CET2019
In the given electrical circuit, which one of the following equations is a correct equation?
Options:
A) E_2-i_2 r_2-E_1-i_1 r_1=0
B) E_1-\left(i_1+i_2\right) R+i_1 r_1=0
C) E_1-\left(i_1+i_2\right) R-i_1 r_1=0
D) -E_2-\left(i_1+i_2\right) R+i_2 r_2=0
579
MediumMHT CET2019
With a resistance of ' X ' in the left gap and resistance of 9 \Omega in the right gap of a meter bridge, the balance point is obtained at 40 cm from the left end. In what way and to which resistance 3 \Omega resistance be connected to obtain the balance at 50 cm from the left end?
Options:
A) In series with 9 \Omega
B) Parallel to X{\Omega}
C) In series with X \Omega
D) Parallel to 9 \Omega
580
MediumMHT CET2019
In moving coil galvanometer, strong horse shoe magnet of concave shaped pole pieces is used to
Options:
A) increase space for rotation of coil
B) reduce weight of galvanometer
C) produce magnetic field which is parallel to plane of coil at any position
D) make magnetic induction weak at the centre.
581
MediumMHT CET2019
For a metallic wire, the ratio of voltage to corresponding current is
Options:
A) independent of temperature.
B) increases with rise in temperature.
C) increases or decreases with rise in temperature depending upon the metal.
D) decreases with rise in temperature.
582
MediumMHT CET2019
A galvanometer has resistance of 100 \Omega and a current of 10 mA produces full scale deflection in it. The resistance to be connected in series, to get a voltmeter of range 50 volt is
Options:
A) 3900 \Omega
B) 4000 \Omega
C) 4600 \Omega
D) 4900 \Omega
583
MediumMHT CET2019
The circuit in 1$\Omega$ resistor in the following circuit is
Options:
A) 1 A
B) 0.5 A
C) 1.1 A
D) 0.8 A
584
MediumNEET2025
The current passing through the battery in the given circuit, is:
Options:
A) 2.5 A
B) 1.5 A
C) 2.0 A
D) 0.5 A
585
MediumNEET2025
A wire of resistance R is cut into 8 equal pieces. From these pieces two equivalent resistances are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is:
Options:
A) \frac{R}{16}
B) \frac{R}{8}
C) \frac{R}{64}
D) \frac{R}{32}
586
MediumNEET2025
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch C D of the circuit is:
Options:
A) 2.5 A
B) 3.0 A
C) 1.5 A
D) 2.0 A
587
MediumNEET2024
A uniform wire of diameter $d carries a current of 100 \mathrm{~mA} when the mean drift velocity of electrons in the wire is v. For a wire of diameter \frac{d}{2} of the same material to carry a current of 200 \mathrm{~mA}$, the mean drift velocity of electrons in the wire is
Options:
A) 4 v
B) 8 v
C) v
D) 2 v
588
MediumNEET2024
A uniform metal wire of length $l has 10 \Omega resistance. Now this wire is stretched to a length 2l$ and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is
Options:
A) 10 \Omega
B) 5 \Omega
C) 40 \Omega
D) 20 \Omega
589
MediumNEET2024
The given circuit shows a uniform straight wire $A B of 40 \mathrm{~cm} length fixed at both ends. In order to get zero reading in the galvanometer G, the free end of J is to be placed from B$ at:
Options:
A) 32 cm
B) 8 cm
C) 16 cm
D) 24 cm
590
MediumNEET2024
The terminal voltage of the battery, whose emf is $10 \mathrm{~V} and internal resistance 1 \Omega, when connected through an external resistance of 4 \Omega$ as shown in the figure is:
Options:
A) 4 V
B) 6 V
C) 8 V
D) 10 V
591
MediumNEET2024
A wire of length '$l' and resistance 100 \Omega$ is divided into 10 equal parts. The first 5 parts are connected in series while the next 5 parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:
Options:
A) 26 \Omega
B) 52 \Omega
C) 55 \Omega
D) 60 \Omega
592
MediumNEET2024
Two heaters $A and B have power rating of 1 \mathrm{~kW} and 2 \mathrm{~kW}$, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:
Options:
A) 1: 1
B) 2: 9
C) 1: 2
D) 2: 3
593
MediumNEET2024
Choose the correct circuit which can achieve the bridge balance.
Options:
A)
B)
C)
D)
594
MediumNEET2023
A certain wire $\mathrm{A} has resistance 81 ~\Omega. The resistance of another wire \mathrm{B}$ of same material and equal length but of diameter thrice the diameter of A will be :
Options:
A) 81 ~\Omega
B) 9 ~\Omega
C) 729 ~\Omega
D) 243 ~\Omega
595
MediumNEET2023
A copper wire of radius $1 \mathrm{~mm} contains 10^{22} free electrons per cubic metre. The drift velocity for free electrons when 10 \mathrm{~A} current flows through the wire will be (Given, charge on electron =1.6 \times 10^{-19} \mathrm{C}$ ) :
Options:
A) \frac{6.25 \times 10^4}{\pi} \mathrm{ms}^{-1}
B) \frac{6.25}{\pi} \times 10^3 \mathrm{~ms}^{-1}
C) \frac{6.25}{\pi} \mathrm{ms}^{-1}
D) \frac{6.25 \times 10^5}{\pi} \mathrm{ms}^{-1}
596
MediumNEET2023
The emf of a cell having internal resistance $1 \Omega is balanced against a length of 330 \mathrm{~cm} on a potentiometer wire. When an external resistance of 2 \Omega$ is connected across the cell, the balancing length will be :
Options:
A) 220 cm
B) 330 cm
C) 115 cm
D) 332 cm
597
MediumNEET2023
The magnitude and direction of the current in the following circuit is :-
Options:
A) 0.5 A from $A to B through E
B) \frac{5}{9} A from A to B through E
C) 1.5 A from $B to A through E
D) 0.2 A from $B to A through E
598
MediumNEET2023
If the galvanometer $G does not show any deflection in the circuit shown, the value of R$ is given by:
Options:
A) 50 $\Omega
B) 100 $\Omega
C) 400 $\Omega
D) 200 $\Omega
599
MediumNEET2023
Resistance of a carbon resistor determined from colour codes is $(22000 \pm 5 \%) \Omega$. The colour of third band must be :
Options:
A) Green
B) Orange
C) Yellow
D) Red
600
MediumNEET2023
The resistance of platinum wire at $0^{\circ} \mathrm{C} is 2 ~\Omega and 6.8 ~\Omega at 80^{\circ} \mathrm{C}$. The temperature coefficient of resistance of the wire is :
Options:
A) 3 \times 10^{-3} \mathrm{C}^{-1}
B) 3 \times 10^{-2} \mathrm{C}^{-1}
C) 3 \times 10^{-10} \mathrm{C}^{-1}
D) 3 \times 10^{-4} \mathrm{C}^{-1}
601
MediumNEET2023
10 resistors, each of resistance $\mathrm{R} are connected in series to a battery of emf E and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased n times. The value of n$ is :
Options:
A) 100
B) 1
C) 1000
D) 10
602
MediumNEET2022
The reciprocal of resistance is :
Options:
A) conductance
B) reactance
C) mobility
D) conductivity
603
MediumNEET2022
A cell of emf 4 V and internal resistance 0.5 $\Omega is connected to a 7.5 \Omega$ external resistance. The terminal potential difference of the cell is
Options:
A) 0.375 V
B) 3.75 V
C) 4.25 V
D) 4 V
604
MediumNEET2022
The equivalent resistance of the infinite network given below is :
Options:
A) \left( {1 + \sqrt 5 } \right)\Omega
B) 2\,\Omega
C) \left( {1 + \sqrt 2 } \right)\Omega
D) \left( {1 + \sqrt 3 } \right)\Omega
605
MediumNEET2022
The sliding contact C is at one fourth of the length of the potentiometer wire (AB) from A as shown in the circuit diagram. If the resistance of the wire AB is R 0 , then the potential drop (V) across the resistor R is
Options:
A) {{2{V_0}R} \over {2{R_0} + 3R}}
B) {{4{V_0}R} \over {3{R_0} + 16R}}
C) {{4{V_0}R} \over {3{R_0} + R}}
D) {{2{V_0}R} \over {4{R_0} + R}}
606
MediumNEET2022
Two resistors of resistance, 100 $\Omega and 200 \Omega are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in 100 \Omega to that in 200 \Omega$ in a given time is
Options:
A) 1 : 2
B) 2 : 1
C) 1 : 4
D) 4 : 1
607
MediumNEET2022
A copper wire of length 10 m and radius $\left( {{{{{10}^{ - 2}}} \over {\sqrt \pi }}} \right) m has electrical resistance of 10 \Omega$. The current density in the wire for an electric field strength of 10 (V/m) is
Options:
A) 10
4
A/m
2
B) 10
6
A/m
2
C) 10
$-$5
A/m
2
D) 10
5
A/m
2
608
MediumNEET2022
A wheatstone bridge is used to determine the value of unknown resistance X by adjusting the variable resistance Y as shown in the figure. For the most precise measurement of X, the resistance P and Q
Options:
A) Should be approximately equal to 2X
B) Should be approximately equal and are small
C) Should be very large and unequal
D) Do not play any significant role
609
MediumNEET2021
In a potentiometer circuit a cell of EMF 1.5 V gives balance point at 36 cm length of wire. If another cell of EMF 2.5 V replaces the first cell, then at what length of the wire, the balance point occurs?
Options:
A) 62 cm
B) 60 cm
C) 21.6 cm
D) 64 cm
610
MediumNEET2021
The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25$\Omega$. What will be the effective resistance if they are connected in series?
Options:
A) 4$\Omega
B) 0.25$\Omega
C) 0.5$\Omega
D) 1$\Omega
611
MediumNEET2021
Column - I gives certain physical terms associated with flow of current through a metallic conductor. Column-II gives some mathematical relations involving electrical quantities. Match column-I and column-II with appropriate relations. Column - I Column - II (A) Drift Velocity (P) ${m \over {n{e^2}p}} (B) Electrical Resistivity (Q) ne{\upsilon _d} (C) Relaxation Period (R) {{eE} \over m}\tau (D) Current Density (S) {E \over J}
Options:
A) (A)-(R); (B)-(Q); (C)-(S); (D)-(P)
B) (A)-(R); (B)-(S); (C)-(P); (D)-(Q)
C) (A)-(R); (B)-(S); (C)-(Q); (D)-(P)
D) (A)-(R); (B)-(P); (C)-(S); (D)-(Q)
612
MediumNEET2021
Three resistors having resistances r 1 , r 2 and r 3 are connected as shown in the given circuit. The ratio ${{{i_3}} \over {{i_1}}}$ of currents in terms of resistances used in the circuit is :
Options:
A) {{{r_2}} \over {{r_1} + {r_3}}}
B) {{{r_1}} \over {{r_2} + {r_3}}}
C) {{{r_2}} \over {{r_2} + {r_3}}}
D) {{{r_1}} \over {{r_1} + {r_2}}}
613
MediumNEET2020
A resistance wire connected in the left gap of a metre bridge balances a 10 $\Omega resistance in the right gap at a point which divides the bridge wire in the ratio 3:2. If the length of the resistance wire is 1.5 m, then the length of 1 \Omega $ of the resistance wire is :
Options:
A) 1.0 \times {10^{ - 1}}m
B) 1.5 \times {10^{ - 1}}m
C) 1.5 \times {10^{ - 2}}m
D) 1.0 \times {10^{ - 2}}m
614
MediumNEET2020
The color code of a resistance is given below : The values of resistance and tolerance, respectively, are
Options:
A) 47 k$\Omega $
, 10%
B) 4.7 k$\Omega $
, 5%
C) 470 $\Omega $
, 5%
D) 470 k$\Omega $
, 5%
615
MediumNEET2020
A charged particle having drift velocity 7.5$ \times 10 -4 ms -1 in an electric field of 3 \times $10 -10 Vm -1 has a mobility in m 2 V -1 s -1 of :
Options:
A) 2.5 $ \times $10
6
B) 2.5 $ \times $10
-6
C) 2.25 $ \times $10
-15
D) 2.25 $ \times $10
15
616
MediumNEET2020
Which of the following graph represents the variation of resistivity ($\rho $) with temperature (T) for copper?
Options:
A)
B)
C)
D)
617
MediumNEET2020
The solids which have the negative temperature coefficient of resistance are :
Options:
A) insulators only
B) semiconductors only
C) insulators and semiconductors
D) metals
618
MediumNEET2019
Which of the following acts as a circuit protection device?
Options:
A) inductor
B) conductor
C) switch
D) fuse
619
MediumNEET2019
In the circuits shown below, the readings of voltmeters and the ammeters will be :
Options:
A) V
1
= V
2
and i
1
= i
2
B) V
1
> V
2
and i
1
> i
2
C) V
1
> V
2
and i
1
= i
2
D) V
1
= V
2
and i
1
> i
2
620
MediumNEET2019
Six similar bulbs are connected as shown in the figure with a DC source of emf E, and zero internal resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be :
Options:
A) 4 : 9
B) 9 : 4
C) 1 : 2
D) 2 : 1
621
MediumNEET2018
A set of n equal resistors, of value R each, are connected in series to a battery of emf E and internal resistance R. The current drawn is I. Now, the n resistors are connected in parallel to the same battery. Then the current drawn from battery becomes 10I. The value of n is
Options:
A) 10
B) 11
C) 20
D) 9
622
MediumNEET2018
A battery consists of a variable number n of identical cells (having internal resistance r each) which are connected in series. The terminals of the battery are short-circuited and the current I is measured. Which of the graphs shows the correct relationship between I and n?
Options:
A)
B)
C)
D)
623
MediumNEET2018
A carbon resistor of (47 $ \pm 4.7) k\Omega $ is to be marked with rings of different colours for its identification. The colour code sequence will be
Options:
A) Violet – Yellow – Orange – Silver
B) Yellow – Violet – Orange – Silver
C) Yellow – Green – Violet – Gold
D) Green – Orange – Violet – Gold
624
MediumNEET2017
The resistance of a wire is 'R' ohm. If it is melted and stretched to 'n' times its original length. its new resistance will be
Options:
A) {R \over n}
B) n
2
R
C) {R \over {{n^2}}}
D) nR
625
MediumNEET2017
A potentiometer is an accurate and versatile device to make electrical measurements of EMF because the method involves
Options:
A) potential gradients
B) a condition of no current flow through the galvanometer
C) a combination of cells, galvanometer and resistances
D) cells
626
MediumNEET2016
A filament bulb (500 W, 100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly and the bulb consumes 500 W. The value of R is
Options:
A) 230 $\Omega
B) 46 $\Omega
C) 26 $\Omega
D) 13 $\Omega
627
MediumNEET2016
The potential difference (V A $-$ V B ) between the points A and B in the given figure is
Options:
A) -$ 3V
B) +3 V
C) +6 V
D) +9 V
628
MediumNEET2016
The charge flowing through a resistance R varies with time t is Q = at $- bt 2 , where a and b$ are positive constants. The total heat produced in R is
Options:
A) {{{a^3}R} \over {2b}}
B) {{{a^3}R} \over {b}}
C) {{{a^3}R} \over {6b}}
D) {{{a^3}R} \over {3b}}
629
MediumNEET2016
A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emf's is
Options:
A) 3 : 4
B) 3 : 2
C) 5 : 1
D) 5 : 4
630
MediumNEET2015
A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E 0 and a resistance r 1 . An unknown e.m.f. E is balanced at a length $l$ of the potentiometer wire. The e.m.f. E will be given by
Options:
A) {{{E_0}l} \over L}
B) {{L{E_0}r} \over {\left( {r + {r_1}} \right)l}}
C) {{L{E_0}r} \over {l{r_1}}}
D) {{{E_0}r} \over {\left( {r + {r_1}} \right)}}.{l \over L}
631
MediumNEET2015
A circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm all connected in series. If the ammeter has a coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be
Options:
A) 2A
B) 1A
C) 0.5 A
D) 0.25 A
632
MediumNEET2015
Two metal wires of identical dimensions are connected in series. If $\sigma 1 and \sigma $ 2 are the conductivity of the combination is
Options:
A) {{{\sigma _1} + {\sigma _2}} \over {{\sigma _1}{\sigma _2}}}
B) {{{\sigma _1}{\sigma _2}} \over {{\sigma _1} + {\sigma _2}}}
C) {{2{\sigma _1}{\sigma _2}} \over {{\sigma _1} + {\sigma _2}}}
D) {{{\sigma _1} + {\sigma _2}} \over {2{\sigma _1}{\sigma _2}}}
633
MediumNEET2015
Across a metallic conductor of non-uniform cross section a constant potential difference is applied. The quantity which remains constant along the conductor is
Options:
A) drift velocity
B) electric field
C) current density
D) current
634
MediumNEET2015
A, B and C are voltmeters of resistance R, 1.5 R and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are V A , V B and V C respectively, Then
Options:
A) V
A
= V
B
$ \ne $ V
C
B) V
A
$ \ne V
B
\ne $ V
C
C) V
A
= V
B
= V
C
D) V
A
$ \ne $ V
B
= V
C
635
MediumNEET2015
A potentiometer wire has length 4 m and resistance 8 $\Omega $. The resistance that must be connected in series with the wire and an accumulator of e.m.f. 2 V, so as to get a potential gradient 1 mV per cm on the wire is
Options:
A) 44 $\Omega
B) 48 $\Omega
C) 32 $\Omega
D) 40 $\Omega
636
MediumNEET2014
The resistances in the two arms of the meter bridge are 5 $\Omega and R\Omega respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6l$ 1 . The resistance R is
Options:
A) 10 $\Omega
B) 15 $\Omega
C) 20 $\Omega
D) 25 $\Omega
637
MediumNEET2014
Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8 volt and the average resistance per km is 0.5 $\Omega $. The power loss in the wire is
Options:
A) 19.2 W
B) 19.2 kW
C) 19.2 J
D) 12.2 kW
638
MediumNEET2014
A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0 V and a negligible internal resistance. The potentiometer wire itself is 4 m long. When the resistance R, connected across the given cell, has values of (i) infinity, (ii) 9.5 $\Omega $ the balancing lengths on the potentiometer wire are found to be 3 m and 2.85 m, respectively. The value of internal resistance of the cell is
Options:
A) 0.25 $\Omega
B) 0.95 $\Omega
C) 0.5 $\Omega
D) 0.75 $\Omega
639
MediumNEET2013
Ten identical cells connected in series are needed to heat a wire of length one meter and radius 'r' by 10 o C in time 't'. How many cells will be required to heat the wire of length two meter of the same radius by the same temperature in time 't' ?
Options:
A) 20
B) 30
C) 40
D) 10
640
MediumNEET2013
A 12 cm wire is given a shape of a right angled triangle ABC having sides 3 cm, 4 cm and 5 cm as shown in the figure. The resistance between two ends (AB, BC, CA) of the respective sides are measuread one by one ratio
Options:
A) 9 : 16 : 25
B) 27 : 32 : 35
C) 21 : 24 : 25
D) 3 : 4 : 5
641
MediumNEET2013
Two rods are joined end to end, as shown. Both have a cross-sectional area of 0.01 cm 2 . Each is 1 meter long. One rod is of copper with a resistivity of 1.7 $ \times 10 -6 ohm-centimeter, the other is of iron with a resistivity of 10 -$5 ohm-centimeter. How much voltage is required to produce a current of 1 ampere in the rods?
Options:
A) 0.00145 V
B) 0.0145 V
C) 1.7 $ \times 10
-$6
V
D) 0.117 V
642
MediumNEET2013
The internal resistance of a 2.1 V cell which gives a current of 0.2 A through a resistance of 10 $\Omega $ is
Options:
A) 0.8 $\Omega
B) 1.0 $\Omega
C) 0.2 $\Omega
D) 0.5 $\Omega
643
MediumNEET2013
A wire of resistance 4 $\Omega $ is stretched to twice its original length. The resistance of stretched wire would be
Options:
A) 8 $\Omega
B) 16 $\Omega
C) 2 $\Omega
D) 4 $\Omega
644
MediumNEET2013
The resistances of the four arms P, Q, R and S in a Wheatstone's bridge are 10 ohm, 30 ohm, 30 ohm and 90 ohm, respectively. The e.m.f. and internal resistance of the cell are 7 volt and 5 ohm respectively. If the galvanometer resistance is 50 ohm, the current drawn from the celll will be
Options:
A) 0.1 A
B) 2.0 A
C) 1.0 A
D) 0.2 A
645
MediumNEET2012
A cell having an emf $\varepsilon $ and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by
Options:
A)
B)
C)
D)
646
MediumNEET2012
The power dissipated in the circuit shown in the figure is 30 watts. The value of R is
Options:
A) 20 $\Omega
B) 15 $\Omega
C) 10 $\Omega
D) 30 $\Omega
647
MediumNEET2012
In the circuit shown the cells A and B have negligible resistances. For V A = 12 V, R 1 = 500 $\Omega and R = 100 \Omega $ the galvanometer (G) shows no deflection. The value of V s is
Options:
A) 4 V
B) 2 V
C) 12 V
D) 6 V
648
MediumNEET2012
A ring is made of a wire having a resistance R 0 = 12 $\Omega . Find the points A and B, as shown in the figure, at which a current carrying conductor should be connected so that the resistance R of the sub circuit between these point is equal to {8 \over 3}\Omega $.
Options:
A) {{{l_1}} \over {{l_2}}} = {5 \over 8}
B) {{{l_1}} \over {{l_2}}} = {1 \over 3}
C) {{{l_1}} \over {{l_2}}} = {3 \over 8}
D) {{{l_1}} \over {{l_2}}} = {1 \over 2}
649
MediumNEET2012
If voltage across a bulb rated 220 volt-100 watt drops by 2.5% of its rated value, the percentage of the rated value by which the power would decrease is
Options:
A) 20%
B) 2.5%
C) 5%
D) 10%
650
MediumNEET2011
A thermocouple of negligible resistance produces an e.m.f. of 40 µV/ºC in the linear range of temperature. A galvanometer of resistance 10 ohm whose sensitivity is 1 µA/division, is employed with the thermocouple. The smallest value of temperature difference that can be detected by the system will be
Options:
A) 1ºC
B) 0.5 ºC
C) 0.1ºC
D) 0.25ºC
651
MediumNEET2011
In the circuit shown in the figure, if the potential at point A is taken to be zero, the potential at point B is
Options:
A) +1 V
B) -$1 V
C) +2 V
D) -$2 V
652
MediumNEET2011
A current of 2 A flows through a 2 $\Omega resistor when connected across a battery a 2 \Omega resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9 \Omega $ resistor. The internal resistance of the battery is
Options:
A) 0.5 $\Omega
B) 1/3 $\Omega
C) 1/4 $\Omega
D) 1 $\Omega
653
MediumNEET2011
If power dissipated in the 9 $\Omega resistor in the circuit shown is 36 watt, the potential difference across the 2 \Omega $ resistor is
Options:
A) 4 volt
B) 8 volt
C) 10 volt
D) 2 volt
654
MediumNEET2010
A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is k volt/cm and the ammeter, present in the circuit, reads 1.0 A when two way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3, is plugged in, are found to be at length $l 1 cm and l$ 2 cm respectively. The magnitudes, of the resistors R and X, in ohms, are then, equal, respectively, to
Options:
A) k({l_2} - {l_1}) and k{l_2}
B) k{l_1} and k({l_2} - {l_1})
C) k\left( {{l_2} - {l_1}} \right) and k{l_1}
D) k{l_1} and k{l_2}
655
MediumNEET2010
Consider the following two statements. (A) Kirchoff's junction law follows from the conservation of charge. (B) Kirchhoff's loop law follows from the conservation of energy. Which of the following is correct?
Options:
A) Both (A) and (B) are wrong
B) (A) is correct and (B) is wrong
C) (A) is wrong and (B) is correct
D) Both (A) and (B) are correct
656
MediumNEET2009
The mean free path of electrons in a metal is 4 $ \times 10 -$8 m. The electric field which can give on an average 2 eV energy to an electron in the metal will be in units V/m
Options:
A) 5 \times {10^{ - 11}}
B) 8 $ \times 10
-$11
C) 5 $ \times $ 10
7
D) 8 $ \times $ 10
7
657
MediumNEET2009
A wire of resistance 12 ohms per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure is
Options:
A) 3\,\Omega
B) 6\pi \,\Omega
C) 6\,\Omega
D) 0.6\pi \,\Omega
658
MediumNEET2009
A student measures the terminal potential difference (V) of a cell (of emf $\varepsilon $ and internal resistance r) as a function of the current (I) flowing through it. The slope, and intercept, of the graph between V and I, then respectively, equal
Options:
A) - r and \varepsilon
B) r and $- \varepsilon
C) - \varepsilon $ and r
D) \varepsilon and -$ r
659
MediumNEET2009
See the electrical circuit shown in this figure. Which of the following equations is a correct equation for it ?
Options:
A) {\varepsilon _2} - {i_2}{r_2} - {\varepsilon _1} - {i_1}{r_1} = 0
B) - {\varepsilon _2} - \left( {{i_1} + {i_2}} \right)R + {i_2}{r_2} = 0
C) {\varepsilon _1} - \left( {{i_1} + {i_2}} \right)R + {i_1}{r_1} = 0
D) {\varepsilon _1} - \left( {{i_1} + {i_2}} \right)R - {i_1}{r_1} = 0
660
MediumNEET2008
A cell can be balanced against 110 cm and 100 cm of potentiometer wire, respectively with and without being short circuited through a resistance of 10 $\Omega $. Its internal resistance is
Options:
A) 2.0 ohm
B) zero
C) 1.0 ohm
D) 0.5 ohm
661
MediumNEET2008
A current of 3 amp. flows through the 2 $\Omega resistor shown in the circuit. The power dissipated in the 5 \Omega $ resistor is
Options:
A) 1 watt
B) 5 watt
C) 4 watt
D) 2 watt
662
MediumNEET2008
An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from temperature 20 o C ? The temperature of boiling water is 100 o C
Options:
A) 12.6 min
B) 4.2 min
C) 6.3 min
D) 8.4 min
663
MediumNEET2008
In the circuit shown, the current through the 4 $\Omega $ resistor is 1 amp when the points P and M are connected to a d.c. voltage source. The potential difference betwen the points M and N is
Options:
A) 0.5 volt
B) 3.2 volt
C) 1.5 volt
D) 1.0 volt
664
MediumNEET2008
A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively
Options:
A) both remain the same
B) 1.1 times, 1.1 times
C) 1.2 times, 1.1 times
D) 1.21 times, same
665
MediumNEET2007
Three resistances, P, Q, R each of 2$\Omega and an unknown resistance S from the four arms of a Wheatstone bridge circuit. When a resistance of 6 \Omega $ is connected in parallel to S the bridge gets balanced. What is the value of S?
Options:
A) 3 $\Omega
B) 6 $\Omega
C) 1 $\Omega
D) 2 $\Omega $.
666
MediumNEET2007
The total power dissipated in watt in the circuit shown here is
Options:
A) 40
B) 54
C) 4
D) 16
667
MediumNEET2006
Two cells, having the same e.m.f. are connected in series through an external resistance R. Cells have internal resistances r 1 and r 2 (r 1 > r 2 ) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is
Options:
A) r
1
+ r
2
B) r
1
$-$ r
2
C) {{{r_1} + {r_2}} \over 2}
D) {{{r_1} - {r_2}} \over 2}
668
MediumNEET2006
In the circuit shown, if a conducting wire is connected between points A and B, the current in this wire will
Options:
A) flow from B to A
B) flow from A to B
C) flow in the direction which will be decided by the value of V be zero.
D) be zero
669
MediumNEET2006
Power dissipated across the 8 $\Omega resistor in the circuit shown here is 2 watt. The power dissipated in watt units across the 3 \Omega $ resistor is
Options:
A) 3.0
B) 2.0
C) 1.0
D) 0.5
670
MediumNEET2006
Kirchoff's first and second laws of electrical circuits are consequences of
Options:
A) conservation of energy and electric charge respectively
B) conservation of energy
C) conservation of electric charhge and energy respectively
D) conservation of electric charge.
671
MediumNEET2005
A 5-ampere fuse wire can withstand a maximum power of 1 watt in the circuit. The resistance of the fuse wire is
Options:
A) 0.04 ohm
B) 0.2 ohm
C) 5 ohm
D) 0.4 ohm
672
MediumNEET2005
Two batteries, one of emf 18 volts and internal resistance 2 $\Omega and the other of emf 12 volts and internal resistance 1 \Omega $, are connected as shown. The voltmeter V will record a reading of
Options:
A) 30 volt
B) 18 volt
C) 15 volt
D) 14 volt
673
MediumNEET2005
When a wire of uniform cross-section $a length l$ and resistance R is bent into a complete circle. resistance between any two of diametrically opposite points will be
Options:
A) R/4
B) 4R
C) R/8
D) R/2
674
MediumNEET2005
For the network shown in the figure the value of the current $i$ is
Options:
A) {{9V} \over {35}}
B) {{18V} \over 5}
C) {{5V} \over 9}
D) {{5V} \over {18}}
675
MediumNEET2004
when three identical bulbs of 60 watt, 200 volt rating are connected in series to a 200 volt supply, the power drawn by them will be
Options:
A) 60 watt
B) 180 watt
C) 10 watt
D) 20 watt
676
MediumNEET2004
Resistance n, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to
Options:
A) n
2
R
B) R/n
2
C) R/n
D) nR
677
MediumNEET2004
A 6 volt battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of 100 ohm. The difference of potential between two points on the wire separated by a distance of 50 cm will be
Options:
A) 2 volt
B) 3 volt
C) 1 volt
D) 1.5 volt
678
MediumNEET2004
The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then
Options:
A) The resistance will be doubled and the specific resistance will be halved.
B) The resistance will be halved and the specific resistance will remain unchanged.
C) The resistance will be halved and the specific resistance will be doubled.
D) The resistance and the specific resistance, will both remain unchanged.
679
MediumNEET2004
Five equal resistances each of resistances R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be
Options:
A) {{3V} \over R}
B) {V \over R}
C) {V \over {2R}}
D) {{2V} \over R}
680
MediumNEET2004
In India electricity is supplied for domestic use at 220 V. It is supplied at 110 V in USA. If the resistance of a 60 W bulb for use in India is R, the resistance of a 60 W bulb for use in USA will be
Options:
A) R
B) 2R
C) R/4
D) R/2
681
MediumNEET2003
Two 220 volt, 100 watt bulbs are connected first in series and then in parallel. Each time the combination is connected to a 220 volt a.c. supply line. The power drawn by the combination in each case respectively will be
Options:
A) 50 watt, 100 watt
B) 100 watt, 50 watt
C) 200 watt, 150 watt
D) 50 watt, 200 watt
682
MediumNEET2003
Fuse wire is a wire of
Options:
A) high resistance and high melting point
B) high resistance and low melting point
C) low resistance and low melting point
D) low resistance and high melting point
683
MediumNEET2003
An electric kettle has two heating coils. When one of the coils is connected to an a.c. source, the water in the kettle boils in 10 minutes. When the other coil is used the water boils in 40 minutes. If both the coils are connected in parallel, the time taken by the same quantity of water to boil will be
Options:
A) 8 minutes
B) 4 minutes
C) 25 minutes
D) 15 minutes
684
MediumNEET2003
In a Wheatstone's bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, the equivalent resistance of the combination as seen by the battery is
Options:
A) R/4
B) R/2
C) R
D) 2R
685
MediumNEET2002
Specific resistance of a conductor increases with
Options:
A) increase in temperature
B) increase in cross-section area
C) increase in cross-section and decrease in length
D) decrease in cross secton area.
686
MediumNEET2002
For a cell terminal potential difference is 2.2V when circuit is open and reduce to 1.8 V when cell is connected to a resistance of R = 5 $\Omega $. Determine internal resistance of cell (r)
Options:
A) {{10} \over 9}\Omega
B) {{9} \over 10}\Omega
C) {{11} \over 9}\Omega
D) {{5} \over 9}\Omega
687
MediumNEET2001
Copper and silicon is cooled from 300 K to 60 K , the specific resistance
Options:
A) decrease in copper but increase in silicon
B) increase in copper but decrease in silicon
C) increase in both
D) decrease in both
688
MediumNEET2001
The resistance of each arm of the Wheatstone's bridge is 10 ohm. A resistance of 10 ohm is connected in series with a galvanometer then the equivalent resistance across the battery will be
Options:
A) 10 ohm
B) 15 ohm
C) 20 ohm
D) 40 ohm
689
MediumNEET2001
If specific resistance of a potentiometer wire is 10 -7 $\Omega m and current flow through it is 0.1 amp., cross-sectional area of wire is 10 -$6 m 2 then potential gradient will be
Options:
A) 10
$-$2
volt/m
B) 10
$-$4
volt/m
C) 10
$-$6
volt/m
D) 10
$-$8
volt/m.
690
MediumNEET2000
The potentiometer is best for measuring voltage, as
Options:
A) it has a sensitive galvanometer and gives null deflection
B) it has wire of high resistance
C) it measures p.d. in closed circuit
D) it measures p.d in open circuit.
691
MediumNEET2000
A car battery of emf 12 V and internal resistance $5 \times {10^{ - 2}} \Omega $., receives a current of 60 amp, from external source, then terminal potential difference of battery is
Options:
A) 12 V
B) 9 V
C) 15 V
D) 20 V
692
MediumNEET2000
Two bulbs of (40 W, 200 V), and (100 W, 200 V). Then correct relation for their resistances
Options:
A) R
40
< R
100
B) R
40
> R
100
C) R
40
= R
100
D) no relation can be predicted.
693
MediumNEET2000
The net resistance of the circuit between A and B is
Options:
A) {8 \over 3}\Omega
B) {14 \over 3}\Omega
C) {{16} \over 3}\Omega
D) {{22} \over 3}\Omega
694
MediumVITEEE2025
Three electric bulbs of 200 W and 400 W are shown in figure. The resultant power of the combination, if rated voltage is applied across the combination is
Options:
A) 800 W
B) 400 W
C) 200 W
D) 600 W
695
MediumVITEEE2024
36 cells each of internal resistance 0.5 \Omega and emf 1.5 V each are used to send current through an external circuit of 2 \Omega resistor. For getting maximum current, n cells are combined in series in each row. If total number of such rows are m, then the value of (n / m) will be
Options:
A) 4
B) 6
C) 8
D) 3
696
MediumVITEEE2024
The maximum power rating of a 20 \Omega resistor is 2 kW . Then, it cannot be used with 300 V DC source because the
Options:
A) current drawn is very large and it can blow the fuse.
B) current drawn is very less and appliance does not work.
C) resistor may melt due to excessive heat.
D) None of the above
697
MediumVITEEE2024
The magnitude of resistance X in the circuit shown below in the figure, when no current flows through the 5 \Omega resistor, is
Options:
A) 3\Omega
B) 4\Omega
C) 6 \Omega
D) 8 \Omega
698
MediumVITEEE2023
A constant voltage is applied between the two ends of a uniform metallic wire, Some heat is developed in it. The heat developed is halved if
Options:
A) both the length and the radius of the wire are halved
B) both the length and the radius of the wire are doubled.
C) The radius of the wire is doubled
D) The length of the wire is halved.
699
MediumVITEEE2021
24 cells of emf $1.5 \mathrm{~V} each having internal resistance of 1 \mathrm{~ohm} are connected to an external resistance of 1.5 \mathrm{~ohms}$. To get maximum current
Options:
A) all cells are connected in series combination
B) all cells are connected in parallel combination
C) 4 cells in each row are connected in series and 6 such rows are connected in parallel
D) 6 cells in each row are connected in series and 4 such rows are connected in parallel
700
MediumVITEEE2021
A silver wire of radius $0.1 \mathrm{~cm} carries a current of 2 \mathrm{~A}. If the charge density in silver is 5.86 \times 10^{28} \mathrm{~m}^{-3}$, the drift velocity is
Options:
A) 0.2 \times 10^{-3} \mathrm{~m} / \mathrm{s}
B) 0.4 \times 10^{-4} \mathrm{~m} / \mathrm{s}
C) 0.68 \times 10^{-4} \mathrm{~m} / \mathrm{s}
D) 7 \times 10^{-4} \mathrm{~m} / \mathrm{s}
701
MediumVITEEE2021
An electron revolves in a circle at the rate of $10^{19} rounds per second. The equivalent current is \left(e=1.6 \times 10^{-19} \mathrm{C}\right)
Options:
A) 1.0 A
B) 1.6 A
C) 2.0 A
D) 2.6 A
702
MediumVITEEE2021
The temperature coefficient of the resistance of a wire is 0.00125 per ${ }^{\circ} \mathrm{C}. At 300 \mathrm{~K} its resistance is 1 \Omega. The resistance of wire will be 2 \Omega$ at
Options:
A) 1154 K
B) 1100 K
C) 1400 K
D) 1121 K
703
HardInteger TypeJEE Advanced2022
Two resistances R_{1}=X \Omega and R_{2}=1 \Omega are connected to a wire A B of uniform resistivity, as shown in the figure. The radius of the wire varies linearly along its axis from 0.2 \mathrm{~mm} at A to 1 \mathrm{~mm} at B. A galvanometer (\mathrm{G}) connected to the center of the wire, 50 \mathrm{~cm} from each end along its axis, shows zero deflection when A and B are connected to a battery. The value of X is ____________.
Answer: Enter a numeric value
704
EasyInteger TypeJEE Advanced2022
In the following circuit C_{1}=12 \mu F, C_{2}=C_{3}=4 \mu F and C_{4}=C_{5}=2 \mu F. The charge stored in C_{3} is ____________ \mu C.
Answer: Enter a numeric value
705
MediumInteger TypeJEE Advanced2021
In order to measure the internal resistance r 1 of a cell of emf E, a meter bridge of wire resistance R 0 = 50$\Omega, a resistance R 0 /2, another cell of emf E/2 (internal resistance r) and a galvanometer G are used in a circuit, as shown in the figure. If the null point is found at l = 72 cm, then the value of r 1 = __________ \Omega$.
Answer: Enter a numeric value
706
MediumInteger TypeJEE Advanced2020
In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance R 3 has temperature coefficient 0.0004$^\circC -1 . If the temperature of R 3 is increased by 100^\circ$C, the voltage developed between S and T will be ________ volt.
Answer: Enter a numeric value
707
MediumInteger TypeJEE Advanced2015
In the following circuit, the current through the resistor R(=2$\Omega$) is I amperes. The value of I is :
Answer: Enter a numeric value
708
MediumInteger TypeJEE Advanced2014
A galvanometer gives full scale deflection with 0.006 A current. By connecting it to a 4990 $\Omega resistance, it can be converted into a voltmeter of range 0-30V. If connected to a {{2n} \over {249}}\Omega $ resistance, it becomes an ammeter of range 0-1.5 A. The value of n is
Answer: Enter a numeric value
709
MediumInteger TypeJEE Advanced2011
Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts is __________.
Answer: Enter a numeric value
710
MediumInteger TypeJEE Advanced2010
When two identical batteries of internal resistance 1 $\Omega each are connected in series across a resistor R, the rate of heat produced in R is J 1 . When the same batteries are connected in parallel across R, the rate is J 2 . If J 1 = 2.25 J 2 , then the value of R in \Omega$ is __________.
Answer: Enter a numeric value
711
MediumJEE Advanced2022
In Circuit-1 and Circuit- 2 shown in the figures, R_{1}=1 \,\Omega, R_{2}=2 \,\Omega and R_{3}=3 \,\Omega. P_{1} and P_{2} are the power dissipations in Circuit-1 and Circuit-2 when the switches \mathrm{S}_{1} and \mathrm{S}_{2} are in open conditions, respectively. Q_{1} and Q_{2} are the power dissipations in Circuit-1 and Circuit-2 when the switches \mathrm{S}_{1} and \mathrm{S}_{2} are in closed conditions, respectively. Which of the following statement(s) is(are) correct?
Options:
A) When a voltage source of 6 V is connected across \mathrm{A} and \mathrm{B} in both circuits, P_{1} < P_{2}.
B) When a constant current source of 2 \mathrm{Amp} is connected across A and B in both circuits, P_{1}>P_{2}.
C) When a voltage source of 6 V is connected across \mathrm{A} and \mathrm{B} in Circuit-1, Q_{1}>P_{1}.
D) When a constant current source of 2 \mathrm{Amp} is connected across A and \mathrm{B} in both circuits, Q_{2} < Q_{1}.
712
MediumJEE Advanced2022
The figure shows a circuit having eight resistances of 1 \Omega each, labelled R_{1} to R_{8}, and two ideal batteries with voltages \varepsilon_{1}=12 \mathrm{~V} and \varepsilon_{2}=6 \mathrm{~V}. Which of the following statement(s) is(are) correct?
Options:
A) The magnitude of current flowing through R_{1} is 7.2 \mathrm{~A}.
B) The magnitude of current flowing through R_{2} is 1.2 \mathrm{~A}.
C) The magnitude of current flowing through R_{3} is 4.8 \mathrm{~A}.
D) The magnitude of current flowing through R_{5} is 2.4 \mathrm{~A}.
713
HardJEE Advanced2020
Shown in the figure is a semicircular metallic strip that has thickness t and resistivity $\rho . Its inner radius is R 1 and outer radius is R 2 . If a voltage V 0 is applied between its two ends, a current I flows in it. In addition, it is observed that a transverse voltage \Delta $V develops between its inner and outer surfaces due to purely kinetic effects of moving electrons (ignore any role of the magnetic field due to the current). Then (figure is schematic and not drawn to scale)
Options:
A) I = {{{V_0}t} \over {\pi \rho }}\ln \left( {{{{R_2}} \over {{R_1}}}} \right)
B) the outer surface is at a higher voltage than the inner surface
C) the outer surface is at a lower voltage than the inner surface
D) \Delta V \propto $ I
2
714
HardJEE Advanced2019
In the circuit shown, initially there is no charge on the capacitors and keys S 1 and S 2 are open. The values of the capacitors are C 1 = 10$\mu F, C 2 = 30\mu F and C 3 = C 4 = 80\mu $F. Which of the statement(s) is/are correct?
Options:
A) The key S
1
is kept closed for long time such that capacitors are fully charged. Now, key S
2
is closed, at this time, the instantaneous current across 30$\Omega $ resistor (between points P and Q) will be 0.2 A (round off to 1
st
decimal place).
B) If key S
1
is kept closed for long time such that capacitors are fully charged, the voltage across the capacitor C
1
will be 4V.
C) At time t = 0, the key S
1
is closed, the instantaneous current in the closed circuit will be 25 mA.
D) If key S
1
is kept closed for long time such that the capacitors are fully charged, the voltage difference between points P and Q will be 10 V.
715
HardJEE Advanced2019
Two identical moving coil galvanometers have 10$\Omega resistance and full scale deflection at 2\mu A current. One of them is converted into a voltmeter of 100 mV full scale reading and the other into an ammeter of 1 mA full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with R = 1000\Omega $ resistor by using an ideal cell. Which of the following statement(s) is/are correct?
Options:
A) The resistance of the voltmeter will be 100 k$\Omega $.
B) The resistance of the ammeter will be 0.02 $\Omega $
(round off to 2
nd
decimal place).
C) If the ideal cell is replaced by a cell having internal resistance of 5$\Omega then the measured value of R will be more than 1000\Omega $.
D) The measured value of R will be 978$\Omega < R < 982\Omega $.
716
MediumJEE Advanced2016
Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers R c < R/2, which of the following statement(s) about anyone of the galvanometers is(are) true?
Options:
A) The maximum voltage range is obtained when all the components are connected in series
B) The maximum voltage range is obtained when the two resistors and one galvanometer are connected in series, and the second galvanometer is connected in parallel to the first galvanometer
C) The maximum current range is obtained when all the components are connected in parallel
D) The maximum current range is obtained when the two galvanometers are connected in series, and the combination is connected in parallel with both the resistors
717
MediumJEE Advanced2016
In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is (are) true?
Options:
A) The voltmeter display $-$5V as soon as the key is pressed and displays +5 V after a long time
B) The voltmeter will display 0 V at time t = ln 2 seconds
C) The current in the ammeter becomes 1/e of the initial value after 1 second
D) The current in the ammeter becomes zero after a long time
718
MediumJEE Advanced2016
An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the filament. If the bulb is powered at constant voltage, which of the following statement(s) is (are) true?
Options:
A) The temperature distribution over the filament is uniform
B) The resistance over small sections of the filament decreases with time
C) The filament emits more light at higher band of frequencies before it breaks up
D) The filament consumes less electrical power towards the end of the life of the bulb
719
HardJEE Advanced2015
In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are 2.7 $\times 10 -8 \Omega m and 1.0 \times 10 -7 \Omega$ m, respectively. The electrical resistance between the two faces P and Q of the composite bar is
Options:
A) {{2475} \over {64}}\mu \Omega
B) {{1875} \over {64}}\mu \Omega
C) {{1875} \over {49}}\mu \Omega
D) {{2475} \over {132}}\mu \Omega
720
MediumJEE Advanced2014
Two ideal batteries of emf V 1 and V 2 and three resistances R 1 , R 2 and R 3 are connected as shown in the figure. The current in resistance R 2 would be zero if
Options:
A) V
1
= V
2
and R
1
= R
2
= R
3
B) V
1
= V
2
and R
1
= 2R
2
= R
3
C) V
1
= 2V
2
and 2R
1
= 2R
2
= R
3
D) 2V
1
= V
2
and 2R
1
= R
2
= R
3
721
MediumJEE Advanced2012
For the resistance network shown in the figure, choose the correct option(s).
Options:
A) The current through PQ is zero.
B) I
1
= 3A.
C) The potential at S is less than that at Q.
D) I
2
= 2A.
722
HardJEE Advanced2009
For the circuit shown in the figure
Options:
A) The current I through the battery is 7.5 mA.
B) The potential difference across $R_L$, is 18 V.
C) Ratio of powers dissipated in $R_1 and R_2$ is 3.
D) If $R_1 and R_2 are interchanged, magnitude of the power dissipated in R_L$ will decrease by a factor of 9.
723
MediumJEE Advanced2006
In the given diagram, a line of force of a particular force field is shown. Out of the following options, it can never represent
Options:
A) an electrostatic field.
B) a magnetostatic field.
C) a gravitational field of a mass at rest.
D) an induced electric field
724
HardJEE Advanced2016
An infinite line charge of uniform electric charge density l lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t = 0, the space inside the cylinder is filled with a material of permittivity e and electrical conductivity s. The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density j (t) at any point in the material?
Options:
A)
B)
C)
D)
725
MediumJEE Advanced2014
During an experiment with a metre bridge, the galvanometer shall a null point when the jockey is pressed at 40.0 cm using a standard resistance of 90$\Omega$, as shown in the figure. The least count of the scale used in the meter bridge is 1 mm. The unknown resistance is
Options:
A) 60 $\pm 0.15 \Omega
B) 135 $\pm 0.56 \Omega
C) 60 $\pm 0.25 \Omega
D) 135 $\pm 0.23 \Omega
726
EasyJEE Advanced2013
A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the power plant for consumers' usage. It can be transported either directly with a cable of large current carrying capacity or by using a combination of step-up and step-down transformers at the two ends. The drawback of the direct transmission is the large energy dissipation. In the method using transformers, the dissipation is much smaller. In this method, a step-up transformer is used at the plant side so that the current is reduced to a smaller value. At the consumers' end, a step-down transformer is used to supply power to the consumers at the specified lower voltage. It is reasonable to assume that the power cable is purely resistive and the transformers are ideal with power factor unity. All the currents and voltages mentioned are rms values.
Options:
A) 20
B) 30
C) 40
D) 50
727
MediumJEE Advanced2011
A meter bridge is set up as shown, to determine an unknown resistance X using a standard 10 $\Omega$ resistor. The galvanometer shows null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm, respectively, for the ends A and B. The determined value of X is
Options:
A) 10.2 $\Omega
B) 10.6 $\Omega
C) 10.8 $\Omega
D) 11.1 $\Omega
728
MediumJEE Advanced2010
Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, 100, 60 and 40 W bulbs have filament resistances R 100 , R 60 and R 40 respectively, the relation between these resistances is
Options:
A) {1 \over {{R_{100}}}} = {1 \over {{R_{40}}}} + {1 \over {{R_{60}}}}
B) {R_{100}} = {R_{40}} + {R_{60}}
C) {R_{100}} > {R_{60}} > {R_{40}}
D) {1 \over {{R_{100}}}} > {1 \over {{R_{60}}}} > {1 \over {{R_{40}}}}
729
MediumJEE Advanced2010
To verify Ohm's law, a student is provided with a test resitor R T , a high resistance R 1 , a small resistance R 2 , two identical galvanometers G 1 and G 2 , and a variable voltage source V. The correct circuit to carry out the experiment is
Options:
A)
B)
C)
D)
730
EasyJEE Advanced2010
Consider a thin square sheet of side L and thickness, made of a material of resistivity $\rho$. The resistance between two opposite faces, shown by the shaded areas in the figure is
Options:
A) directly proportional to L.
B) directly proportional to t.
C) independent to L.
D) independent of t.
731
EasyJEE Advanced2008
Figure shows three resistor configurations R1, R2 and R3 connected to 3 V battery. If the power dissipated by the configuration R1, R2 and R3 is P1, P2 and P3, respectively, then
Options:
A) P1 > P2 > P3
B) P1 > P3 > P2
C) P2 > P1 > P3
D) P3 > P2 > P1
732
EasyJEE Advanced2008
STATEMENT - 1 In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance. and STATEMENT - 2 Resistance of a metal increases with increase in temperature.
Options:
A) Statement - 1 is True, Statement - 2 is True; Statement - 2 is a correct explanation for Statement - 1
B) Statement - 1 is True, Statement - 2 is True; Statement - 2 is NOT a correct explanation for Statement - 1
C) Statement - 1 is True, Statement - 2 is False
D) Statement - 1 is False, Statement - 2 is True
733
MediumJEE Advanced2007
A resistance of 2 $\Omega is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than 2 \Omega$, is connected across the other gap. When these resistance are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is
Options:
A) 3 $\Omega
B) 4 $\Omega
C) 5 $\Omega
D) 6 $\Omega
734
MediumJEE Advanced2006
Consider a cylindrical element as shown in the figure. The current that flows through the element is I and resistivity of material of the cylinder is \rho. Choose the correct option out the following
Options:
A) Power loss in first half is four times the power loss in second half.
B) Voltage drop in first half is 4 times of voltage drop in second half.
C) Current density in both halves are equal.
D) Electric field in both halves is equal
735
MediumJEE Advanced2005
An unknown resistance X is to be determined using resistances R$_1, R_2 or R_3$. Their corresponding null points are A, B and C. Find which of the above will give the most accurate reading and why ?
Options:
A) R = R$_1
B) R = R$_2
C) R = R$_3
D) All
735
Total Questions
124
Easy
602
Medium
9
Hard
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