Class 12 • Physics

Current Electricity

Chapter-3

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Showing 730 of 730 questions

Medium

Which of the following quantities cannot be directly measured?

Options:

A) Resistance

B) Potential difference

C) Displacement current

D) Voltage

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

Medium

A Wheatstone bridge is initially balanced at room temperature, with all four resistors having equal resistance ( 𝑅 1 = 𝑅 2 = 𝑅 3 = 𝑅 4 ) . When resistor 𝑅 3 is heated, its resistance increases by 10%. Determine the potential difference ( 𝑉 𝑎 − 𝑉 𝑏 ) after heating, given that a 40 V battery is connected across the bridge.

Options:

A) 1.05 V

B) 0.95 V

C) 0 V

D) 2 V

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}

Medium

The reading of the ammeter (A) in steady state for the given circuit (assuming negligible internal resistance of the ammeter) is ______ \text{A}.

Options:

A) \frac{1}{2}

B) 1

C) 2

D) 0

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

Medium

A moving coil galvanometer of resistance 100\Omega shows full-scale deflection for a current of 1,\text{mA}. The value of resistance required to convert this galvanometer into an ammeter that shows full-scale deflection for a current of 5,\text{mA} is ______ \Omega

Options:

A) 25

B) 2.5

C) 0.5

D) 10

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}

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

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

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

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

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

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

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

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.

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

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

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

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 \%

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

MediumBITSAT2022

In the arrangement shown in figure, when the switch S2 is open, the galvanometer, shows no deflection for $l = 50 cm when the switch S2 is closed, the galvanometer shows no deflection for l$ = 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

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

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

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

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

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

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}

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

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}

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

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}

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.

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

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

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}

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

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

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

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

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

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 \%

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

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

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

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 $0.5 \mathrm{~R}$.

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

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}

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

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:

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

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

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

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}

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%

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

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}

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

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

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}

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.

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

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

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}

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

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

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

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

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

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}}}

MediumCOMEDK2021

For the given electrical arrangement, what is the value of current I?

Options:

A) 6A

B) 5A

C) 7A

D) 8A

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%

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.

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

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

HardJee Advance2022

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 ____________.

Options:

EasyJee Advance2022

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.

Options:

MediumJee Advance2021

In order to measure the internal resistance r1 of a cell of emf E, a meter bridge of wire resistance R0 = 50$\Omega, a resistance R0/2, another cell of emf E/2 (internal resistance r) and a galvanometer G are used in a circuit, as shown in the figure. If the null point is found at l = 72 cm, then the value of r1 = __________ \Omega$.

Options:

MediumJee Advance2020

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 R3 has temperature coefficient 0.0004$^\circC-1. If the temperature of R3 is increased by 100^\circ$C, the voltage developed between S and T will be ________ volt.

Options:

MediumJee Advance2015

In the following circuit, the current through the resistor R(=2$\Omega$) is I amperes. The value of I is :

Options:

MediumJee Advance2014

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

Options:

MediumJee Advance2011

Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts is __________.

Options:

MediumJee Advance2010

When two identical batteries of internal resistance 1 $\Omega each are connected in series across a resistor R, the rate of heat produced in R is J1. When the same batteries are connected in parallel across R, the rate is J2. If J1 = 2.25 J2, then the value of R in \Omega$ is __________.

Options:

MediumJee Advance2022

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}.

MediumJee Advance2022

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}.

HardJee Advance2020

Shown in the figure is a semicircular metallic strip that has thickness t and resistivity $\rho . Its inner radius is R1 and outer radius is R2. If a voltage V0 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 $ I2

HardJee Advance2019

In the circuit shown, initially there is no charge on the capacitors and keys S1 and S2 are open. The values of the capacitors are C1 = 10$\mu F, C2 = 30\mu F and C3 = C4 = 80\mu $F. Which of the statement(s) is/are correct?

Options:

A) The key S1 is kept closed for long time such that capacitors are fully charged. Now, key S2 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 1st decimal place).

B) If key S1 is kept closed for long time such that capacitors are fully charged, the voltage across the capacitor C1 will be 4V.

C) At time t = 0, the key S1 is closed, the instantaneous current in the closed circuit will be 25 mA.

D) If key S1 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.

HardJee Advance2019

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 2nd 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 $.

MediumJee Advance2016

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers Rc < 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

MediumJee Advance2016

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

MediumJee Advance2016

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

HardJee Advance2015

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

MediumJee Advance2014

Two ideal batteries of emf V1 and V2 and three resistances R1, R2 and R3 are connected as shown in the figure. The current in resistance R2 would be zero if

Options:

A) V1 = V2 and R1 = R2 = R3

B) V1 = V2 and R1 = 2R2 = R3

C) V1 = 2V2 and 2R1 = 2R2 = R3

D) 2V1 = V2 and 2R1 = R2 = R3

MediumJee Advance2012

For the resistance network shown in the figure, choose the correct option(s).

Options:

A) The current through PQ is zero.

B) I1 = 3A.

C) The potential at S is less than that at Q.

D) I2 = 2A.

HardJee Advance2009

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.

MediumJee Advance2006

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

HardJee Advance2016

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:

MediumJee Advance2014

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

EasyJee Advance2013

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

100

MediumJee Advance2011

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

101

MediumJee Advance2010

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 R100, R60 and R40 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}}}}

102

MediumJee Advance2010

To verify Ohm's law, a student is provided with a test resitor RT, a high resistance R1, a small resistance R2, two identical galvanometers G1 and G2, and a variable voltage source V. The correct circuit to carry out the experiment is

Options:

103

EasyJee Advance2010

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.

104

EasyJee Advance2008

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

105

EasyJee Advance2008

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

106

MediumJee Advance2007

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

107

MediumJee Advance2006

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

108

MediumJee Advance2005

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

109

EasyJEE Mains2026

Which one of the following is not a measurable quantity?

Options:

A) Resistance

B) Voltage difference

C) Displacement current

D) Voltage

110

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

111

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

112

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

113

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

114

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

115

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

116

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

117

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

118

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

119

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

120

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

121

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

122

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

123

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

124

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

125

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

126

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}

127

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:

128

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

129

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

130

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

131

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

132

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

133

MediumJEE Mains2025

In the circuit shown here, assuming threshold voltage of diode is negligibly small, then voltage V_{AB} is correctly represented by:

Options:

C) V_{AB} would be zero at all times.

134

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}

135

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

136

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

137

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

138

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

139

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:

140

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

141

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}

142

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

143

MediumJEE Mains2024

The equivalent resistance between A and B is :

Options:

A) 18 $\Omega

B) 27 $\Omega

C) 19 $\Omega

D) 25 $\Omega

144

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}

145

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

146

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}

147

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

148

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

149

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

150

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}

151

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

152

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

153

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}

154

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}

155

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}

156

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

157

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%

158

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

159

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

160

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

161

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

162

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

163

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

164

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

165

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

166

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

167

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

168

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

169

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

170

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

171

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

172

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)

173

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

174

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}}

175

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

176

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}

177

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

178

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

179

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

180

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

181

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

182

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:

183

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}

184

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}

185

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

186

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 \%

187

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}

188

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}

189

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

190

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}

191

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

192

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

193

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

194

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

195

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

196

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}

197

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.

198

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

199

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}}

200

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

201

EasyJEE Mains2022

A wire of resistance R1 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

202

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

203

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}

204

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

205

EasyJEE Mains2022

The current I in the given circuit will be :

Options:

A) 10 A

B) 20 A

C) 4 A

D) 40 A

206

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

207

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

208

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

209

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

210

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

211

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%

212

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

213

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%

214

MediumJEE Mains2022

Two cells of same emf but different internal resistances r1 and r2 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) r2 $-$ r1

B) r1 $-$ r2

C) r1

D) r2

215

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}

216

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.

217

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.

218

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

219

MediumJEE Mains2021

Due to cold weather a 1 m water pipe of cross-sectional area 1 cm2 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 105 J kg-1, specific heat of ice = 2 \times 103 J kg-$1 and density of ice = 103 kg/m3

Options:

A) 0.353 s

B) 35.3 s

C) 3.53 s

D) 70.6 s

220

MediumJEE Mains2021

Two resistors R1 = (4 $\pm 0.8) \Omega and R2 = (4 \pm 0.4) \Omega$ 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

221

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

222

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

223

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

224

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

225

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

226

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

227

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

228

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

229

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

230

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

231

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 r1 and r2 (r2 < r1). 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

232

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}

233

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

234

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

235

MediumJEE Mains2021

A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 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

236

MediumJEE Mains2021

A current of 5 A is passing through a non-linear magnesium wire of cross-section 0.04 m2. 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

237

MediumJEE Mains2021

The value of current in the 6 $\Omega$ resistance is :

Options:

A) 4A

B) 8A

C) 10A

D) 6A

238

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

239

MediumJEE Mains2021

Two cells of emf 2E and E with internal resistance r1 and r2 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) r1 $-$ r2

B) {{{r_1}} \over 2} - {r_2}

C) {{{r_1}} \over 2} + {r_2}

D) r1 + r2

240

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

241

EasyJEE Mains2021

A current of 10A exists in a wire of cross-sectional area of 5 mm2 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 $\times$ 1025

B) 1 $\times$ 1023

C) 2 $\times$ 1025

D) 2 $\times$ 106

242

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

243

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}}

244

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%

245

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

246

MediumJEE Mains2021

A current through a wire depends on time as i = $\alpha0t + \betat2where \alpha0 = 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

247

EasyJEE Mains2021

A cell E1 of emf 6V and internal resistance 2$\Omega is connected with another cell E2 of emf 4V and internal resistance 8\Omega$ (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

248

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

249

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

250

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

251

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 2o, its figure of merit is close to :

Options:

A) 6 $ \times $ 10–3 A/div

B) 666o A/div

C) 3 $ \times $ 10–3 A/div

D) 333o A/div

252

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%

253

MediumJEE Mains2020

A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by connecting a resistance R1 in series with it. The additional resistance that should be connected in series with R1 to increase the range of the voltmeter to 0 – 2 V will be :

Options:

A) G

B) R1

C) R1 + G

D) R1 - G

254

MediumJEE Mains2020

The value of current i1 flowing from A to C in the circuit diagram is :

Options:

A) 1 A

B) 4 A

C) 5 A

D) 2 A

255

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

256

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

257

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)

258

MediumJEE Mains2020

A potentiometer wire PQ of 1 m length is connected to a standard cell E1. Another cell E2 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

259

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

260

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

261

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

262

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

263

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

264

MediumJEE Mains2020

The current I1 (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

265

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 I0(I0 > Ig) by connecting a shunt resistance RA to it and (ii) into a voltmeter of range 0 to V (V = GI0) by connecting a series resistance RV 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}

266

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

267

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 V0 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

268

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:

269

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)

270

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

271

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 m2/Vs

B) 1.0 m2/Vs

C) 1.8 m2/Vs

D) 1.5 m2/Vs

272

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

273

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

274

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}}}

275

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

276

MediumJEE Mains2019

In a conductor, if the number of conduction electrons per unit volume is 8.5 × 1028 m–3 and mean free time is 25ƒs (femto second), it's approximate resistivity is :- (me = 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

277

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

278

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

279

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

280

MediumJEE Mains2019

In the figure shown, what is the current (in Ampere) drawn from the battery ? You are given: R1 = 15$\Omega , R2 = 10 \Omega , R3 = 20 \Omega , R4 = 5\Omega , R5 = 25\Omega , R6 = 30 \Omega $, E = 15 V

Options:

A) 13/24

B) 7/18

C) 9/32

D) 20/3

281

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

282

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

283

MediumJEE Mains2019

For the circuit shown, with R1 = 1.0W, R2 = 2.0 W, E1 = 2 V and E2 = E3 = 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

284

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

285

MediumJEE Mains2019

In the given circuit diagram, the currents, I1 = – 0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents I2, I3 and I6, 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

286

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

287

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 P1 and P2 respectively, then :

Options:

A) P1 = 4W, P2 = 16 W

B) P1 = 16W, P2 = 4 W

C) P1 = 9W, P2 = 16 W

D) P1 = 16W, P2 = 9 W

288

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

289

MediumJEE Mains2019

The galvanometer deflection, when key K1 is closed but K2 is open, equals $\theta 0 (see figure). On closing K2 also and adjusting R2 to 5\Omega , the deflection in galvanometer becomes {{{\theta _0}} \over 5}.$ . 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

290

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

291

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

292

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

293

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 R1, the null point shifts by 10 cm. The resistance that should be connected in parallel with (R1 + 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

294

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

295

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 Rh = 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 Rh = 6 \Omega . The emf \varepsilon $2 is, :

Options:

A) 0.3 V

B) 0.6 V

C) 0.5 V

D) 0.4 V

296

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

297

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 $ 105 W

D) 11 $ \times $ 10–4 W

298

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

299

MediumJEE Mains2019

The Wheatstone bridge shown in figure, here, gets balanced when the carbon resistor used as R1 has the colour code (Orange, Red, Brown). The resistors R2 and R4 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 R3, would be -

Options:

A) Brown, Blue, Brown

B) Grey, Black, Brown

C) Red, Green, Brown

D) Brown, Blue, Black

300

MediumJEE Mains2019

In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance R1 and R2 respectively, are -

Options:

A) 0.5, 0

B) 0, 1

C) 1, 2

D) 2, 2

301

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

302

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

303

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

304

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%

305

MediumJEE Mains2019

In the given circuit the the internal resistance of the 18 V cell is negligible. If R1 = 400 $\Omega , R3 = 100 \Omega and R4 = 500 \Omega $ and the reading of an ideal voltmeter across R4 is 5V, then the value of R2 will be :

Options:

A) 300 $\Omega

B) 450 $\Omega

C) 550 $\Omega

D) 230 $\Omega

306

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

307

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 %

308

MediumJEE Mains2019

Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is $\upsilon . If the electron density in copper is 9 \times 1028/m3 the value of \upsilon . in mm/s is close to (Take charge of electron to be = 1.6 \times 10-$19C)

Options:

A) 0.02

B) 3

C) 2

D) 0.2

309

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

310

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 500oC more than room temperature. what is the temperature coefficient of resistance of the heating element ?

Options:

A) 0.5 $ \times 10-4 oC-$1

B) 5 $ \times 10-4 oC-$1

C) 1 $ \times 10-4 oC-$1

D) 2 $ \times 10-4 oC-$1

311

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

312

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

313

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

314

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

315

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}}

316

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

317

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}

318

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

319

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 P1 , P2 and P3 respectively, then :

Options:

A) P1 > P2 > P3

B) P1 > P3 > P2

C) P2 > P1 > P3

D) P3 > P2 > P1

320

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

321

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

322

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 A1, A2, 3 and voltmeter V are ideal. Choose correct statement.

Options:

A) Reading of A1 is 2 A

B) Reading of A1 is 18 A

C) Reading of V is 9 V

D) Reading of V is 7 V

323

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 K3 is open. The balance point is at a length $\ell 1 cm from P when two way key K3 is plugged in between 2 and 1, while the balance point is at a length \ell 2 cm from P when key K3 is plugged in between 3 and 1. The ratio of two resistances {{{R_1}} \over {{R_2}}}$, 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}}}

324

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.

325

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 × 103 $\Omega

B) 1.985 × 103 $\Omega

C) 2.535 × 103 $\Omega

D) 2.045 × 103 $\Omega

326

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

327

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 $.

328

MediumJEE Mains2016

The resistance of an electrical toaster has a temperature dependence given by R(T) = R0 [1 + $\alpha (T − T0)] in its range of operation. At T0 = 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

329

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

330

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 rs 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) rs = 0.5 $\Omega $ in parallel with the galvanometer

B) rs = 0.5 $\Omega $ in series with the galvanometer

C) rs = 1 $\Omega $ in series with galvanometer

D) rs =1 $\Omega $ in parallel with galvanometer

331

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

332

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

333

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

334

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

335

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

336

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

337

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

338

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\%

339

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}

340

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)}}

341

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}

342

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}}}

343

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

344

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

345

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

346

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

347

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}}}

348

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

349

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

350

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

351

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)

352

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}}}

353

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

354

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

355

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

356

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

357

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

358

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

359

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

360

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.

361

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

362

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

363

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

364

MediumJEE Mains2004

The total current supplied to the circuit by the battery is

Options:

A) 4A

B) 2A

C) 1A

D) 6A

365

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

366

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

367

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

368

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

369

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

370

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

371

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

372

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

373

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\%

374

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

375

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

376

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

377

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

378

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}

379

MediumJEE Mains2026

The equivalent resistance between the points A and B in the following circuit is \frac{x}{5} \Omega. The value of x is \_\_\_\_ .

Options:

380

MediumJEE 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.

Options:

381

MediumJEE 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} )

Options:

382

MediumJEE 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.

Options:

383

MediumJEE 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___________.

Options:

384

MediumJEE 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 .

Options:

385

EasyJEE 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.

Options:

386

EasyJEE 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.

Options:

387

EasyJEE Mains2025

The net current flowing in the given circuit is __________ A.

Options:

388

MediumJEE Mains2024

To determine the resistance (R) of a wire, a circuit is designed below. The $V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of R is _________ \Omega$.

Options:

389

EasyJEE Mains2024

At room temperature $(27^{\circ} \mathrm{C}), the resistance of a heating element is 50 \Omega. The temperature coefficient of the material is 2.4 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}. The temperature of the element, when its resistance is 62 \Omega, is __________{ }^{\circ} \mathrm{C}$.

Options:

390

MediumJEE Mains2024

The current flowing through the $1 \Omega resistor is \frac{n}{10} A. The value of n$ is _______.

Options:

391

MediumJEE Mains2024

A heater is designed to operate with a power of $1000 \mathrm{~W} in a 100 \mathrm{~V} line. It is connected in combination with a resistance of 10 \Omega and a resistance R, to a 100 \mathrm{~V} mains as shown in figure. For the heater to operate at 62.5 \mathrm{~W}, the value of \mathrm{R} should be _______ \Omega$.

Options:

392

MediumJEE 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 _________.

Options:

393

MediumJEE Mains2024

In the given figure an ammeter A consists of a $240 \Omega coil connected in parallel to a 10 \Omega shunt. The reading of the ammeter is ________ \mathrm{mA}$.

Options:

394

MediumJEE 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 ________.

Options:

395

EasyJEE Mains2024

A wire of resistance $20 \Omega is divided into 10 equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is _________ \Omega$.

Options:

396

MediumJEE Mains2024

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of $1 / \theta vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvanometer is _________ \times 10^{-1} \mathrm{~A} / division. [The source has emf 2 \mathrm{~V}$]

Options:

397

MediumJEE Mains2024

Two wires $A and B are made up of the same material and have the same mass. Wire A has radius of 2.0 \mathrm{~mm} and wire B has radius of 4.0 \mathrm{~mm}. The resistance of wire B is 2 \Omega. The resistance of wire A is ________ \Omega$.

Options:

398

HardJEE 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.

Options:

399

EasyJEE 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.

Options:

400

EasyJEE 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.

Options:

401

EasyJEE Mains2024

Equivalent resistance of the following network is __________ $\Omega$.

Options:

402

MediumJEE Mains2024

Two resistance of $100 \Omega and 200 \Omega are connected in series with a battery of 4 \mathrm{~V} and negligible internal resistance. A voltmeter is used to measure voltage across 100 \Omega resistance, which gives reading as 1 \mathrm{~V}. The resistance of voltmeter must be _______ \Omega$.

Options:

403

EasyJEE 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.

Options:

404

EasyJEE Mains2024

In the given circuit, the current flowing through the resistance $20 \Omega is 0.3 \mathrm{~A}, while the ammeter reads 0.9 \mathrm{~A}. The value of \mathrm{R}_1 is _________ \Omega$.

Options:

405

EasyJEE 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.

Options:

406

MediumJEE Mains2023

When a resistance of $5 ~\Omega is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 \mathrm{~mA}, however when 1050 ~\Omega resistance is connected with it in series, it gives full scale deflection for 25 volt. The resistance of galvanometer is ____________ \Omega$.

Options:

407

EasyJEE 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 ___________.

Options:

408

MediumJEE Mains2023

The current flowing through a conductor connected across a source is $2 \mathrm{~A} and 1.2 \mathrm{A} at 0^{\circ} \mathrm{C} and 100^{\circ} \mathrm{C} respectively. The current flowing through the conductor at 50^{\circ} \mathrm{C} will be ___________ \times 10^{2} \mathrm{~mA}$.

Options:

409

EasyJEE Mains2023

Two identical cells each of emf $1.5 \mathrm{~V} are connected in series across a 10 ~\Omega resistance. An ideal voltmeter connected across 10 ~\Omega resistance reads 1.5 \mathrm{~V}. The internal resistance of each cell is __________ \Omega$.

Options:

410

MediumJEE 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 ___________

Options:

411

EasyJEE Mains2023

A rectangular parallelopiped is measured as $1 \mathrm{~cm} \times 1 \mathrm{~cm} \times 100 \mathrm{~cm}. If its specific resistance is 3 \times 10^{-7} ~\Omega \mathrm{m}, then the resistance between its two opposite rectangular faces will be ___________ \times 10^{-7} ~\Omega$.

Options:

412

EasyJEE 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 ___________.

Options:

413

EasyJEE 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}

Options:

414

EasyJEE Mains2023

A current of $2 \mathrm{~A} flows through a wire of cross-sectional area 25.0 \mathrm{~mm}^{2}. The number of free electrons in a cubic meter are 2.0 \times 10^{28}. The drift velocity of the electrons is __________ \times 10^{-6} \mathrm{~ms}^{-1} (given, charge on electron =1.6 \times 10^{-19} \mathrm{C}$ ).

Options:

415

MediumJEE Mains2023

As shown in the figure, the voltmeter reads $2 \mathrm{~V} across 5 ~\Omega resistor. The resistance of the voltmeter is _________ \Omega$.

Options:

416

EasyJEE 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 __________.

Options:

417

EasyJEE Mains2023

In the given circuit, the value of $\left| {{{{\mathrm{I_1}} + {\mathrm{I_3}}} \over {{\mathrm{I_2}}}}} \right|$ is _____________

Options:

418

EasyJEE 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 ____________.

Options:

419

MediumJEE Mains2023

Two identical cells, when connected either in parallel or in series gives same current in an external resistance $5 ~\Omega. The internal resistance of each cell will be ___________ \Omega$.

Options:

420

MediumJEE 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 __________.

Options:

421

MediumJEE Mains2023

In the following circuit, the magnitude of current I1, is ___________ A.

Options:

422

MediumJEE Mains2023

A null point is found at 200 cm in potentiometer when cell in secondary circuit is shunted by 5$\Omega. When a resistance of 15\Omega is used for shunting, null point moves to 300 cm. The internal resistance of the cell is ___________\Omega$.

Options:

423

MediumJEE 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

Options:

424

MediumJEE 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 ___________.

Options:

425

MediumJEE 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.

Options:

426

MediumJEE Mains2023

In the given circuit, the equivalent resistance between the terminal A and B is __________ $\Omega$.

Options:

427

MediumJEE Mains2023

If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is __________%.

Options:

428

EasyJEE 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 ___________.

Options:

429

EasyJEE Mains2022

The current I flowing through the given circuit will be __________A.

Options:

430

EasyJEE 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.

Options:

431

MediumJEE 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 .

Options:

432

MediumJEE Mains2022

In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is $40 \mathrm{~cm}. The balancing length, if the radius of the wire \mathrm{AB} is doubled, will be ______________ \mathrm{cm}$.

Options:

433

EasyJEE Mains2022

In a meter bridge experiment, for measuring unknown resistance 'S', the null point is obtained at a distance $30 \mathrm{~cm} from the left side as shown at point D. If R is 5.6 \mathrm{k} \Omega, then the value of unknown resistance 'S' will be __________ \Omega$.

Options:

434

MediumJEE Mains2022

A $1 \mathrm{~m} long copper wire carries a current of 1 \mathrm{~A}. If the cross section of the wire is 2.0 \mathrm{~mm}^{2} and the resistivity of copper is 1.7 \times 10^{-8}\, \Omega \mathrm{m}, the force experienced by moving electron in the wire is ____________ \times 10^{-23} \mathrm{~N}. (charge on electorn =1.6 \times 10^{-19} \,\mathrm{C}$)

Options:

435

MediumJEE Mains2022

A potentiometer wire of length $300 \mathrm{~cm} is connected in series with a resistance 780 \Omega and a standard cell of emf 4 \mathrm{V}. A constant current flows through potentiometer wire. The length of the null point for cell of emf 20\, \mathrm{mV} is found to be 60 \mathrm{~cm}. The resistance of the potentiometer wire is ____________ \Omega$.

Options:

436

MediumJEE Mains2022

Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length $l_{1} is 40 \mathrm{~cm}. Now an unknown resistance x is connected in series with \mathrm{P} and new balancing length is found to be 80 \mathrm{~cm} measured from the same end. Then the value of x will be ____________ \Omega$.

Options:

437

EasyJEE 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.

Options:

438

EasyJEE Mains2022

In the given figure, the value of Vo will be _____________ V.

Options:

439

MediumJEE 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.

Options:

440

MediumJEE 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 'K1' is kept open the null point is found to be at 120 cm on the potentiometer wire. When the key 'K1' is closed the null point is shifted at 80 cm at the potentiometer wire. The internal resistance of the given cell is _____________ $\Omega$.

Options:

441

MediumJEE 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.

Options:

442

EasyJEE 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]

Options:

443

EasyJEE Mains2022

For the network shown below, the value of VB $-$ VA is ____________ V.

Options:

444

MediumJEE Mains2022

All resistances in figure are 1 $\Omega each. The value of current 'I' is {a \over 5}$ A. The value of a is _________.

Options:

445

EasyJEE 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 $\Omega. The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end correction for end A is 2 cm, then the determined value of R will be ____________ \Omega$.

Options:

446

MediumJEE Mains2022

Current measured by the ammeter (A) in the reported circuit when no current flows through 10 $\Omega$ resistance, will be ________________ A.

Options:

447

EasyJEE Mains2022

The current density in a cylindrical wire of radius r = 4.0 mm is 1.0 $\times 106 A/m2. The current through the outer portion of the wire between radial distances {r \over 2} and r is x\pi$ A; where x is __________.

Options:

448

HardJEE 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 __________.

Options:

449

MediumJEE Mains2022

A cell, shunted by a 8 $\Omega resistance, is balanced across a potentiometer wire of length 3 m. The balancing length is 2 m when the cell is shunted by 4 \Omega resistance. The value of internal resistance of the cell will be ____________ \Omega$.

Options:

450

EasyJEE Mains2022

The current density in a cylindrical wire of radius 4 mm is 4 $\times 106 Am-2. The current through the outer portion of the wire between radial distances {R \over 2} and R is ____________ \pi$ A.

Options:

451

EasyJEE 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 ____________ %.

Options:

452

EasyJEE 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.

Options:

453

EasyJEE Mains2022

The total current supplied to the circuit as shown in figure by the 5 V battery is ____________ A.

Options:

454

MediumJEE 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 __________.

Options:

455

EasyJEE 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.

Options:

456

EasyJEE 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 ____________

Options:

457

EasyJEE 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.

Options:

458

EasyJEE 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 ___________.

Options:

459

MediumJEE Mains2021

The voltage drop across 15$\Omega$ resistance in the given figure will be ______________ V.

Options:

460

MediumJEE 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 ___________.

Options:

461

MediumJEE 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 ............... .

Options:

462

EasyJEE 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)]

Options:

463

MediumJEE 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

Options:

464

EasyJEE 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 _____________ $\Omega$.

Options:

465

MediumJEE 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 ______________.

Options:

466

EasyJEE Mains2021

In the given figure switches S1 and S2 are in open condition. The resistance across ab when the switches S1 and S2 are closed is _____________ $\Omega$.

Options:

467

MediumJEE 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 ____________.

Options:

468

EasyJEE 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 ___________.

Options:

469

EasyJEE Mains2021

The voltage across the 10$\Omega$ resistor in the given circuit is x volt.The value of 'x' to the nearest integer is _________.

Options:

470

MediumJEE 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)

Options:

471

EasyJEE 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)

Options:

472

EasyJEE 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 ____________.

Options:

473

EasyJEE 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.

Options:

474

MediumJEE 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 i1 in ampere is _________.

Options:

475

EasyJEE Mains2021

In the given circuit of potentiometer, the potential difference E across AB (10 m length) is larger than E1 and E2 as well. For key K1 (closed), the jockey is adjusted to touch the wire at point J1 so that there is no deflection in the galvanometer. Now the first battery (E1) is replaced by second battery (E2) for working by making K1 open and K2 closed. The galvanometer gives then null deflection at J2. The value of ${{{E_1}} \over {{E_2}}} is {a \over b}$, where a = _________.

Options:

476

EasyJEE Mains2021

A cylindrical wire of radius 0.5 mm and conductivity 5 $\times 107 S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x3\pi$ mA. The value of x is _________.

Options:

477

MediumJEE 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 _______.

Options:

478

MediumJEE 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________.

Options:

479

MediumJEE 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 : _______

Options:

480

MediumJEE 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 $.

Options:

481

MediumJEE 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 .............

Options:

482

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

483

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

484

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

485

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

486

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

487

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

488

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

489

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

490

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

491

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

492

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}

493

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: 3

B) 4: 3

C) 3: 4

D) 4: 5

494

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

495

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}

496

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}

497

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

498

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

499

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

500

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}}

501

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.

502

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}

503

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

504

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

505

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.

506

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

507

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

508

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

509

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

510

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}

511

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}

512

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.

513

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

514

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

515

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) 400 \Omega

B) 300 \Omega

C) 200 \Omega

D) 100 \Omega

516

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

517

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

518

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

519

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

520

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

521

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

522

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

523

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

524

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

525

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

526

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}

527

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

528

MediumMHT CET2024

In the circuit, current flowing through the circuit is

Options:

A) 2A

B) 3A

C) 4A

D) 5A

529

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

530

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

531

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

532

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

533

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)}

534

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}

535

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}

536

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

537

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

538

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}}

539

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

540

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

541

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}

542

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}

543

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

544

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

545

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

546

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}}

547

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

548

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

549

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

550

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}

551

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

552

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}

553

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

554

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}

555

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

556

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

557

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

558

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}

559

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}

560

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

561

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

562

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

563

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

564

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)

565

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}}

566

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

567

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

568

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.

569

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}$.

570

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}

571

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.

572

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}

573

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

574

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

575

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

576

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

577

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

578

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

579

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

580

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

581

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

582

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

583

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}

584

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

585

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

586

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}

587

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

588

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

589

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

590

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}

591

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

592

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

593

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

594

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

595

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

596

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

597

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}

598

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

599

MediumMHT CET2020

Which of the following instruments is not a direct reading instrument?

Options:

A) Electronic balance

B) Potentiometer

C) Ammeter

D) Voltmeter

600

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}

601

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

602

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

603

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

604

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

605

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.

606

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

607

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

608

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

609

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.

610

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.

611

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

612

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

613

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

614

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}

615

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

616

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

617

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

618

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

619

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

620

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

621

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

622

MediumNEET2024

Choose the correct circuit which can achieve the bridge balance.

Options:

623

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

624

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}

625

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

626

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

627

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

628

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

629

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}

630

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

631

MediumNEET2022

The reciprocal of resistance is :

Options:

A) conductance

B) reactance

C) mobility

D) conductivity

632

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

633

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

634

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 R0, 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}}

635

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

636

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) 104 A/m2

B) 106 A/m2

C) 10$-$5 A/m2

D) 105 A/m2

637

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

638

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

639

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

640

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)

641

MediumNEET2021

Three resistors having resistances r1, r2 and r3 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}}}

642

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

643

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%

644

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 m2 V-1s-1 of :

Options:

A) 2.5 $ \times $106

B) 2.5 $ \times $10-6

C) 2.25 $ \times $10-15

D) 2.25 $ \times $1015

645

MediumNEET2020

Which of the following graph represents the variation of resistivity ($\rho $) with temperature (T) for copper?

Options:

646

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

647

MediumNEET2019

In the circuits shown below, the readings of voltmeters and the ammeters will be :

Options:

A) V1 = V2 and i1 = i2

B) V1 > V2 and i1 > i2

C) V1 > V2 and i1 = i2

D) V1 = V2 and i1 > i2

648

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

649

MediumNEET2019

Which of the following acts as a circuit protection device?

Options:

A) inductor

B) conductor

C) switch

D) fuse

650

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

651

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:

652

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

653

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

654

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) n2R

C) {R \over {{n^2}}}

D) nR

655

MediumNEET2016

The potential difference (VA $-$ VB) between the points A and B in the given figure is

Options:

A) -$ 3V

B) +3 V

C) +6 V

D) +9 V

656

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

657

MediumNEET2016

The charge flowing through a resistance R varies with time t is Q = at $- bt2, where a and b$ 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}}

658

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

659

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}}}

660

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

661

MediumNEET2015

A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E0 and a resistance r1. 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}

662

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

663

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

664

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 VA, VB and VC respectively, Then

Options:

A) VA = VB $ \ne $ VC

B) VA $ \ne VB \ne $ VC

C) VA = VB = VC

D) VA $ \ne $ VB = VC

665

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

666

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

667

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

668

MediumNEET2013

Ten identical cells connected in series are needed to heat a wire of length one meter and radius 'r' by 10oC 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

669

MediumNEET2013

Two rods are joined end to end, as shown. Both have a cross-sectional area of 0.01 cm2. 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

670

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

671

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

672

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

673

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

674

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:

675

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

676

MediumNEET2012

In the circuit shown the cells A and B have negligible resistances. For VA = 12 V, R1 = 500 $\Omega and R = 100 \Omega $ the galvanometer (G) shows no deflection. The value of Vs is

Options:

A) 4 V

B) 2 V

C) 12 V

D) 6 V

677

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%

678

MediumNEET2012

A ring is made of a wire having a resistance R0 = 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}

679

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

680

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

681

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

682

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

683

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 $l1 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}

684

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

685

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

686

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 $ 107

D) 8 $ \times $ 107

687

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

688

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

689

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

690

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

691

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

692

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

693

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 20oC ? The temperature of boiling water is 100oC

Options:

A) 12.6 min

B) 4.2 min

C) 6.3 min

D) 8.4 min

694

MediumNEET2007

The total power dissipated in watt in the circuit shown here is

Options:

A) 40

B) 54

C) 4

D) 16

695

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 $.

696

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

697

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.

698

MediumNEET2006

Two cells, having the same e.m.f. are connected in series through an external resistance R. Cells have internal resistances r1 and r2 (r1 > r2) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is

Options:

A) r1 + r2

B) r1 $-$ r2

C) {{{r_1} + {r_2}} \over 2}

D) {{{r_1} - {r_2}} \over 2}

699

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

700

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}}

701

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

702

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

703

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

704

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

705

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

706

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}

707

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.

708

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) n2R

B) R/n2

C) R/n

D) nR

709

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

710

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

711

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

712

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

713

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

714

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.

715

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

716

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

717

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 m2 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.

718

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

719

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.

720

MediumNEET2000

Two bulbs of (40 W, 200 V), and (100 W, 200 V). Then correct relation for their resistances

Options:

A) R40 < R100

B) R40 > R100

C) R40 = R100

D) no relation can be predicted.

721

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

722

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

723

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

724

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

725

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

726

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.

727

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

728

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}

729

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

730

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

730

Total Questions

121

Easy

600

Medium

Hard

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