Class 12 • Physics

Waves Optics

Chapter-10

437 Questions

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Showing 437 of 437 questions

MediumAiims2019

Distance of 5th dark fringe from centre is $4 \mathrm{~mm}. If D=2 \mathrm{~m}, \lambda=600 \mathrm{~nm}$, then distance between slits is

Options:

A) 1.35 \mathrm{~mm}

B) 2.00 \mathrm{~mm}

C) 3.25 \mathrm{~mm}

D) 10.35 \mathrm{~mm}

MediumAiims2019

A light of wavelength $500 \mathrm{~nm} is incident on a Young's double slit. The distance between slit and screen is D=1.8 \mathrm{~m} and distance between slits is d=0.4 \mathrm{~mm}. If screen moves with a speed of 4 \mathrm{~m} / \mathrm{s}$, then with what speed first maxima will move?

Options:

A) 5 mm/s

B) 4 mm/s

C) 3 mm/s

D) 2 mm/s

MediumAiims2019

Assertion : Distance between position of bright and dark fringe remain same in YDSE. Reason : Fringe width, $\beta=\frac{\lambda D}{d}

Options:

A) If both assertion and reason are true and reason is the correct explanation of assertion.

B) If both assertion and reason are true, but reason is not the correct explanation of assertion.

C) If assertion is true, but reason is false.

D) If both assertion and reason are false.

MediumAiims2019

Assertion : Incoming light reflected by earth is partially polarised. Reason : Atmospheric particle polarise the light.

Options:

A) If both assertion and reason are true and reason is the correct explanation of assertion.

B) If both assertion and reason are true, but reason is not the correct explanation of assertion.

C) If assertion is true, but reason is false.

D) If both assertion and reason are false.

MediumAiims2018

An unpolarised beam of intensity $2 a^2$ passes through a thin polaroid. Assuming zero absorption in the polaroid, the intensity of emergent plane polarised light is

Options:

A) 2 a^2

B) a^2

C) \sqrt{2} a^2

D) \frac{a^2}{2}

MediumAiims2018

Red light of wavelength 5400 $\mathop A\limits^o $ from a distant source falls on a slit 0.80 mm wide. Calculate the distance between first two dark bands on each side of central bright band in the diffraction pattern observed on a screen place 1.4 m from the slit.

Options:

A) 1.89 mm

B) 4 mm

C) 1 mm

D) 3 mm

MediumAiims2018

Assertion : If a glass slab is placed in front of one of the slits, then fringe with will decrease. Reason : Glass slab will produce an additional path difference.

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

An interference pattern is observed by Young’s double slit experiment. If now the separation between coherent source is halved and the distance of screen from coherent sources

Options:

A) becomes double

B) becomes one-fourth

C) remains same

D) becomes four times

MediumAiims2017

A tube of sugar solution $20 \mathrm{~cm} long is placed between crossed nicols and illuminated with light of wavelength 6 \times 10^{-5} \mathrm{~cm}. If the optical rotation produced is 13^{\circ} and the specific rotation is 65^{\circ}$, determine the strength of the solution.

Options:

A) 0.1 g/cc

B) 0.2 g/cc

C) 0.9 g/cc

D) 1.0 g/cc

MediumAiims2017

In the given figure, $C is middle point of line S_1 S_2. A monochromatic light of wavelength \lambda is incident on slits. The ratio of intensities of S_3 and S_4$ is

Options:

A) 0

B) \infty

C) 4 : 1

D) 1 : 4

MediumAiims2017

The Young's double slit experiment is performed with blue and green light of wavelengths 4360 Å and 5460 Å respectively. If $x$ is the distance of 4th maxima from the central one, then

Options:

A) x_{\text {blue }}=x_{\text {green }}

B) x_{\text {blue }}> x_{\text {green }}

C) x_{\text {blue }}< x_{\text {green }}

D) x_{\text {blue }} / x_{\text {green }}

MediumAiims2017

Assertion : Corpuscular theory fails in explaining the velocities of light in air and water. Reason : According to corpuscular theory is that light should travel faster in denser media than rarer media.

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

Young's double slit experiment is performed in a medium of refractive index of 1.33 . The maximum intensity is I_{0} . The intensity at a point on the screen, where path difference between the light coming out from slits is \frac{\lambda}{4} , is

Options:

A) 0

B) \frac{I_{0}}{2}

C) \frac{3 I_{0}}{8}

D) \frac{2 I_{0}}{3}

MediumBITSAT2024

In YDSE, monochromatic light falls on a screen 1.80 m from two slits separated by 2.08 mm . The first and second order bright fringes are separated by 0.553 mm . The wavelength of light used is

Options:

A) 520 nm

B) 639 nm

C) 715 nm

D) None of these

MediumBITSAT2023

In a YDSE, the light of wavelength $\lambda=5000\mathop A\limits^o is used, which emerges in phase from two slits at a distance d=3 \times 10^{-7} \mathrm{~m} apart. A transparent sheet of thickness t=1.5 \times 10^{-7} \mathrm{~m} and refractive index \mu=1.25 is placed over one of the slits. What is the new angular position of the central maxima of the interference pattern, from the centre of the screen? Find the value of y$.

Options:

A) 7.2, \frac{D(\mu-1) t}{2 d}

B) 7.2, \frac{D(\mu-1) t}{d}

C) 6.2, \frac{D(\mu-1) t}{d}

D) 5.2, \frac{2 D(\mu+1) t}{d}

MediumBITSAT2022

In a young's double slit arrangement fringes are produced using light of wavelength 4000 $\mathop A\limits^o $. One slit is covered by a thin plate of glass of refractive index 1.4 and the other with another glass plate of same thickness but of refractive index 1.7. By doing so the central bright shifts to original sixth fringe from centre. Thickness of glass plate is ................. .

Options:

A) 2 $\mu$m

B) 8 $\mu$m

C) 11 $\mu$m

D) 16 $\mu$m

MediumCOMEDK2025

The interference pattern is obtained with two coherent light sources of intensity ratio 9: 1. The ratio of \frac{I_{\operatorname{MAX}}+I_{\operatorname{MIN}}}{I_{\operatorname{MAX}}-I_{\operatorname{MIN}}} is \frac{\alpha}{\beta}. The values of \alpha and \beta are:

Options:

A) 5 and 3

B) 3 and 1

C) 1 and 9

D) 9 and 1

MediumCOMEDK2025

The wavelength of a monochromatic light which is used in single slit diffraction is 800 nm . The width of the single slit for which the first minimum appears at \theta=45^{\circ} on the screen will be:

Options:

A) 1.13 \mu \mathrm{~m}

B) 1.23 \mu \mathrm{~m}

C) 2.13 \mu \mathrm{~m}

D) 1.3 \mu \mathrm{~m}

MediumCOMEDK2025

Young's double slit experiment is first done in air and then in a medium of refractive index \mu. If the 7 th dark fringe in the medium lies where the 4 th bright fringe is in air, then the value of \mu is :

Options:

A) 1.654

B) 1.389

C) 1.875

D) 1.768

MediumCOMEDK2025

An EM wave of frequency 5 \times 10^9 \mathrm{~Hz} falls normally on a rectangular slit of width 3 cm . What is the total angular width of the central maxima?

Options:

A) 8 rad

B) 2 rad

C) 4 rad

D) 0.25 rad

MediumCOMEDK2025

In the Young's double slit experiment, when a monochromatic light is used, fringe width obtained is 1 mm . If the wave length is halved and the slit width is doubled, what will be the new fringe width?

Options:

A) 1 mm

B) 0.25 mm

C) 1.25 mm

D) 0.5 mm

MediumCOMEDK2025

A monochromatic light of wave length 6000^{\circ} \mathrm{A} is passed through two media A and B of thickness 10 cm and 16 cm respectively. The number of waves in A is \frac{1}{2} that of B. If the refractive index of A is \frac{4}{3}, find the refractive index of B.

Options:

A) \mu_B=\frac{4}{3}

B) \mu_B=\frac{3}{5}

C) \mu_B=\frac{3}{2}

D) \mu_B=\frac{5}{3}

MediumCOMEDK2025

In a single slit Fraunhofer diffraction pattern obtained at normal incidence, at the angular position of the second diffraction minimum the phase difference (in radian) between the waves from the opposite edges of the slit is

Options:

A) \pi

B) zero

C) 2\pi

D) \frac{\pi}{2}

MediumCOMEDK2025

Two coherent waves of intensities I_1 and I_2 pass through a region at the same time in the same direction. The sum of maximum to minimum intensities is

Options:

A) \left(I_1+I_2\right)

B) 2\left(I_1+I_2\right)

C) 2\left(\sqrt{I_1}+\sqrt{I_2}\right)^2

D) \left(I_1+I_2\right)^2

MediumCOMEDK2024

In Young's double slit experiment light of wavelength $500 \mathrm{~nm} is used to form interference pattern. A uniform glass plate of refractive index 1.5 and thickness 0.1 \mathrm{~mm}$ is introduced in the path of one of the interfering beams. The number of fringes that will shift due to this is

Options:

A) 100

B) 400

C) 300

D) 200

MediumCOMEDK2024

Two narrow parallel slits illuminated by a coherent monochromatic light produces an interference pattern on a screen placed at a distance $\mathrm{D}$ from the slits. The separation between the dark lines of the interference pattern can be increased by

Options:

A) decreasing the distance between the screen and the slits

B) increasing the distance between the slits

C) using monochromatic light of a longer wavelength

D) using monochromatic light of higher frequency

MediumCOMEDK2024

A monochromatic light of wavelength $800 \mathrm{~nm} is incident normally on a single slit of width 0.020 \mathrm{~mm} to produce a diffraction pattern on a screen placed 1 \mathrm{~m} away. Estimate the number of fringes obtained in Young's double slit experiment with slit separation 0.20 \mathrm{~mm}$, which can be accommodated within the range of total angular spread of the central maximum due to single slit.

Options:

A) 25

B) 30

C) 20

D) 15

MediumCOMEDK2024

Incident light of wavelength $\lambda=800 \mathrm{~nm} produces a diffraction pattern on a screen 1.5 \mathrm{~m} away when it passes through a single slit of width 0.5 \mathrm{~mm}$. The distance between the first dark fringes on either side of the central bright fringe is

Options:

A) 2.4 mm

B) 2.4 cm

C) 4.8 cm

D) 4.8 mm

MediumCOMEDK2024

A slit of width $10 \times 10^{-7} \mathrm{~m} is illuminated by light of wavelength 500 \mathrm{~nm}$. Angular position of the first minimum is

Options:

A) \frac{1}{2}^0

B) 30$^\circ

C) 1$^\circ

D) 60$^\circ

MediumCOMEDK2024

In Young's double slit experiment the ratio of phase difference between light waves reaching the third bright fringe and third dark fringe is

Options:

A) \frac{4}{3}

B) \frac{5}{2}

C) \frac{6}{5}

D) \frac{7}{6}

MediumCOMEDK2024

In Young's double slit experiment, the ratio of intensities of light from one slit to the other is $9: 1. If Im is the maximum intensity, what is the resultant intensity when they interfere at phase difference \phi$ ?

Options:

A) \frac{\operatorname{Im}}{9}\left[1+8 \cos ^2\left(\frac{\phi}{2}\right)\right]

B) \frac{\operatorname{Im}}{4}\left[1+8 \cos ^2\left(\frac{\phi}{2}\right)\right]

C) \frac{\operatorname{Im}}{4}\left[1+3 \cos ^2\left(\frac{\phi}{2}\right)\right]

D) \frac{\operatorname{Im}}{2}\left[4+12 \cos ^2\left(\frac{\phi}{2}\right)\right]

MediumCOMEDK2024

In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is $\lambda is \mathrm{K} units (\lambda is the wavelength of light used). The percentage change in intensity at a point where the path difference is \frac{\lambda}{6}$ and the above point is

Options:

A) 75%

B) 50%

C) 4%

D) 25%

MediumCOMEDK2024

In the Young's double slit experiment $n^{\text {th }} bright for red coincides with (n+1)^{\text {th }} bright for violet. Then the value of 'n' is: (given: wave length of red light =6300^{\circ} \mathrm{A} and wave length of violet =4200^{\circ} \mathrm{A}$).

Options:

A) 2

B) 4

C) 3

D) 1

MediumCOMEDK2024

When light wave passes from a medium of refractive index '$\mu' to another medium of refractive index '2 \mu$' the phase change occurs to the light is :

Options:

A) 180$^\circ

B) 90$^\circ

C) 60$^\circ

D) zero

MediumCOMEDK2024

The width of the fringes obtained in the Young's double slit experiment is $2.6 \mathrm{~mm} when light of wave length 6000^{\circ} \mathrm{A}$ is used. If the whole apparatus is immersed in a liquid of refractive index 1.3 the new fringe width will be :

Options:

A) 2.6 mm

B) 5.2 mm

C) 2 mm

D) 4 mm

MediumCOMEDK2024

In a single slit diffraction experiment, for slit width '$\alpha' the width of the central maxima is '\beta$'. If we double the slit width then the corresponding width of the central maxima will be:

Options:

A) 4 \beta

B) \beta

C) \frac{\beta}{2}

D) 2 \beta

MediumCOMEDK2023

In Young's double slit interference experiment, using two coherent waves of different amplitudes, the intensities ratio between bright and dark fringes is 3 . Then, the value of the ratio of the amplitudes of the wave that arrive there is

Options:

A) \left(\frac{\sqrt{3}+1}{\sqrt{3}-1}\right)

B) \left(\frac{\sqrt{3}-1}{\sqrt{3}+1}\right)

C) \sqrt{3}: 1

D) 1: \sqrt{3}

MediumCOMEDK2023

In Young's double slit experiment, the ratio of maximum and minimum intensities in the fringe system is $9: 1$. The ratio of amplitudes of coherent sources is

Options:

A) 9: 1

B) 3: 1

C) 2: 1

D) 1: 1

MediumCOMEDK2023

In the young's double slit experiment the fringe width of the interference pattern is found to be $3.2 \times 10^{-4} \mathrm{~m}, when the light of wave length 6400^{\circ} \mathrm{A} is used. What will be change in fringe width if the light is replaced with a light of wave length 4800^{\circ} \mathrm{A}

Options:

A) 2.4 \times 10^{-4} \mathrm{~m}

B) 1.6 \times 10^{-4} \mathrm{~m}

C) 0.8 \times 10^{-4} \mathrm{~m}

D) 5.6 \times 10^{-4} \mathrm{~m}

MediumCOMEDK2023

A light having wavelength $6400^{\circ} \mathrm{A} is incident normally on a slit of width 2 \mathrm{~mm}. Then the linear width of the central maximum on the screen kept 2 \mathrm{~m}$ from the slit is :

Options:

A) 2.4 cm

B) 1.28 mm

C) 1.28 cm

D) 2.4 mm

MediumCOMEDK2022

In Young's double slit experiment, the two slits are separated by 0.2 mm and they are 1 m from the screen. The wavelength of the light used is 500 nm. The distance between 6th maxima and 10th minima on the screen is closest to

Options:

A) 12 mm

B) 10 mm

C) 14 mm

D) 8 mm

MediumCOMEDK2022

In Young's double slit experiment, the fringe width is found to be 0.4 mm. If the whole apparatus is immersed in a liquid of refractive index $\frac{4}{3}$ without changing geometrical arrangement, the new fringe width will be

Options:

A) 0.45 mm

B) 0.4 mm

C) 0.53 mm

D) 0.30 mm

MediumCOMEDK2021

An unpolarised beam of intensity I$_0 is incident on a pair of nicols making an angle of 60^\circ$ with each other. The intensity of light emerging from the pair is

Options:

A) I_0

B) \frac{I_0}{4}

C) \frac{I_0}{2}

D) \frac{I_0}{8}

MediumCOMEDK2021

In Young's double slit experiment with sodium vapour lamp of wavelength 589 nm and slit 0.589 mm apart, the half angular width of the central maxima is

Options:

A) {\sin ^{ - 1}}(0.01)

B) {\sin ^{ - 1}}(0.0001)

C) {\sin ^{ - 1}}(0.001)

D) {\sin ^{ - 1}}(0.1)

MediumCOMEDK2020

Two identical light waves, propagating in the same direction, have a phase difference $\delta$. After they superpose the intensity of the resulting wave will be proportional to

Options:

A) \cos\delta

B) \cos(\delta/2)

C) \cos^2(\delta/2)

D) \cos^2\delta

MediumCOMEDK2020

A plastic sheet (refractive index = 1 6. ) covers one slit of a double slit arrangement for the Young’s experiment. When the double slit is illuminated by monochromatic light (wavelength = 5867 $\mathop A\limits^o $), the centre of the screen appears dark rather than bright. The minimum thickness of the plastic sheet to be used for this to happen is

Options:

A) 3300 $\mathop A\limits^o

B) 6600 $\mathop A\limits^o

C) 2062 $\mathop A\limits^o

D) 5500 $\mathop A\limits^o

HardJee Advance2025

In a Young's double slit experiment, a combination of two glass wedges A and B, having refractive indices 1.7 and 1.5, respectively, are placed in front of the slits, as shown in the figure. The separation between the slits is d=2 \mathrm{~mm} and the shortest distance between the slits and the screen is D=2 \mathrm{~m}. Thickness of the combination of the wedges is t=12 \mu \mathrm{~m}. The value of l as shown in the figure is 1 mm . Neglect any refraction effect at the slanted interface of the wedges. Due to the combination of the wedges, the central maximum shifts (in mm ) with respect to O by ____________.

Options:

MediumJee Advance2025

A single slit diffraction experiment is performed to determine the slit width using the equation, \frac{b d}{D}= m \lambda, where b is the slit width, D the shortest distance between the slit and the screen, d the distance between the m^{\text {th }} diffraction maximum and the central maximum, and \lambda is the wavelength. D and d are measured with scales of least count of 1 cm and 1 mm , respectively. The values of \lambda and m are known precisely to be 600 nm and 3, respectively. The absolute error (in \mu \mathrm{m} ) in the value of b estimated using the diffraction maximum that occurs for m=3 with d=5 \mathrm{~mm} and D=1 \mathrm{~m} is ________.

Options:

HardJee Advance2024

In a Young's double slit experiment, each of the two slits A and B, as shown in the figure, are oscillating about their fixed center and with a mean separation of 0.8 \mathrm{~mm}. The distance between the slits at time t is given by d=(0.8+0.04 \sin \omega t) \mathrm{mm}, where \omega=0.08 \mathrm{rad} \mathrm{s}^{-1}. The distance of the screen from the slits is 1 \mathrm{~m} and the wavelength of the light used to illuminate the slits is 6000 Å . The interference pattern on the screen changes with time, while the central bright fringe (zeroth fringe) remains fixed at point O.

Options:

HardJee Advance2024

In a Young's double slit experiment, each of the two slits A and B, as shown in the figure, are oscillating about their fixed center and with a mean separation of 0.8 \mathrm{~mm}. The distance between the slits at time t is given by d=(0.8+0.04 \sin \omega t) \mathrm{mm}, where \omega=0.08 \mathrm{rad} \mathrm{s}^{-1}. The distance of the screen from the slits is 1 \mathrm{~m} and the wavelength of the light used to illuminate the slits is 6000 Å . The interference pattern on the screen changes with time, while the central bright fringe (zeroth fringe) remains fixed at point O.

Options:

MediumJee Advance2024

A point source \mathrm{S} emits unpolarized light uniformly in all directions. At two points \mathrm{A} and \mathrm{B}, the ratio r=I_A / I_B of the intensities of light is 2 . If a set of two polaroids having 45^{\circ} angle between their pass-axes is placed just before point \mathrm{B}, then the new value of r will be __________.

Options:

HardJee Advance2015

A Young's double slit interference arrangement with slits S1 and S2 is immersed in water (refractive index = 4/3) as shown in the figure. The positions of maxima on the surface of water are given by x2 = p2m2$\lambda2 - d2, where \lambda$ is the wavelength of light in air (refractive index = 1). 2d is the separation between the slits and m is an integer. The value of p is

Options:

HardJee Advance2025

Consider a system of three connected strings, S_1, S_2 and S_3 with uniform linear mass densities \mu \mathrm{kg} / \mathrm{m}, 4 \mu \mathrm{~kg} / \mathrm{m} and 16 \mu \mathrm{~kg} / \mathrm{m}, respectively, as shown in the figure. S_1 and S_2 are connected at the point P, whereas S_2 and S_3 are connected at the point Q, and the other end of S_3 is connected to a wall. A wave generator 0 is connected to the free end of S_1. The wave from the generator is represented by y=y_0 \cos (\omega t-k x) \mathrm{cm}, where y_0, \omega and k are constants of appropriate dimensions. Which of the following statements is/are correct:

Options:

A) When the wave reflects from P for the first time, the reflected wave is represented by y=\alpha_1 \mathrm{y}_0 \cos (\omega t+k x+\pi) \mathrm{cm}, where \alpha_1 is a positive constant.

B) When the wave transmits through P for the first time, the transmitted wave is represented by y=\alpha_2 y_0 \cos (\omega t-k x) \mathrm{cm}, where \alpha_2 is a positive constant.

C) When the wave reflects from Q for the first time, the reflected wave is represented by y=\alpha_3 \mathrm{y}_0 \cos (\omega t-k x+\pi) \mathrm{cm}, where \alpha_3 is a positive constant.

D) When the wave transmits through Q for the first time, the transmitted wave is represented by y=\alpha_4 y_0 \cos (\omega t-4 k x) \mathrm{cm}, where \alpha_4 is a positive constant.

HardJee Advance2022

A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index n_{2}. The other slit is at the interface of this medium with another medium 1 of refractive index n_{1}\left(\neq n_{2}\right). The line joining the slits is perpendicular to the interface and the distance between the slits is d. The slit widths are much smaller than d. A monochromatic parallel beam of light is incident on the slits from medium 1. A detector is placed in medium 2 at a large distance from the slits, and at an angle \theta from the line joining them, so that \theta equals the angle of refraction of the beam. Consider two approximately parallel rays from the slits received by the detector. Which of the following statement(s) is(are) correct?

Options:

A) The phase difference between the two rays is independent of d.

B) The two rays interfere constructively at the detector.

C) The phase difference between the two rays depends on n_{1} but is independent of n_{2}.

D) The phase difference between the two rays vanishes only for certain values of d and the angle of incidence of the beam, with \theta being the corresponding angle of refraction.

MediumJee Advance2019

In a Young's double slit experiment, the slit separation d is 0.3 mm and the screen distance D is 1 m. A parallel beam of light of wavelength 600 nm is incident on the slits at angle $\alpha $ as shown in figure. On the screen, the point O is equidistant from the slits and distance PO is 11.0 mm. Which of the following statement(s) is/are correct?

Options:

A) For $\alpha $ = 0, there will be constructive interference at point P.

B) For $\alpha = {{0.36} \over \pi }$ degree, there will be destructive interference at point P.

C) For $\alpha = \alpha = {{0.36} \over \pi }$ degree, there will be destructive interference at point O.

D) Fringe spacing depends on $\alpha $.

HardJee Advance2017

Two coherent monochromatic point sources ${S_1} and {S_2} of wavelength \lambda = 600\,nm are placed symmetrically on either side of the center of the circle as shown. The sources are separated by a distance d=1.8 mm. This arrangement produces interference fringes visible as alternate bright and dark spots on the circumference of the circle. The angular separation between two consecutive bright spots is \Delta \theta .$ Which of the following options is/are correct?

Options:

A) The angular separation between two consecutive bright spots decreases as we move from P1 to P2 along the first quadrant.

B) At P2 the order of the fringe will be maximum.

C) A dark spot will be formed at the point P2.

D) The total number of fringes produced between P1 and P2 in the first quadrant is close to 3000.

HardJee Advance2016

While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the XY-plane containing two small holes that act as two coherent point sources (S1, S2) emitting light of wavelength 600 mm. The student mistakenly placed the screen parallel to the XZ-plane (for z > 0) at a distance D = 3 m from the mid-point of S1S2, as shown schematically in the figure. The distance between the source d = 0.6003 mm. The origin O is at the intersection of the screen and the line joining S1S2. Which of the following is(are) true of the intensity pattern on the screen?

Options:

A) Semi circular bright and dark bands centered at point O

B) The region very close to the point O will be dark

C) Straight bright and dark bands parallel to the X-axis.

D) Hyperbolic bright and dark bands with foci symmetrically placed about O in the x-direction

EasyJee Advance2014

A light source, width emits two wavelengths $\lambda1 = 400 nm and \lambda2 = 600 nm, is used in a Young's double-slit experiment. If recorded fringe widths for \lambda1 and \lambda2 are \beta1 and \beta$2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2, respectively, then

Options:

A) \beta2 > \beta$1

B) m1 > m2

C) from the central maximum, 3rd maximum of $\lambda2 overlaps with 5th minimum of \lambda$1

D) the angular separation of fringes of $\lambda1 is greater than \lambda$2

MediumJee Advance2008

In a Young's double slit experiment, the separation between the two slits is d and the wavelength of the light is $\lambda$. The intensity of light falling on slit 1 is four times the intensity of light falling on slit 2. Choose the correct choice(s).

Options:

A) If $d=\lambda$, the screen will contain only one maximum

B) If $\lambda < d < 2\lambda$, at least one more maximum (besides the central maximum) will be observed on the screen

C) If the intensity of light falling on slit 1 is reduced so that it becomes equal to that of slit 2, the intensities of the observed dark and bright fringes will increase

D) If the intensity of light falling on slit 2 is increased so that it becomes equal to that of slit 1, the intensities of the observed dark and bright fringes will increase

EasyJee Advance2020

A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below. Correct shape of the emergent wavefront will be (figures are schematic and not drawn to scale)

Options:

EasyJee Advance2013

In the Young's double-slit experiment using a monochromatic light of wavelength $\lambda$, the path difference (in terms of an integer n) corresponding to any point having half the peak intensity is

Options:

A) (2n + 1){\lambda \over 2}

B) (2n + 1){\lambda \over 4}

C) (2n + 1){\lambda \over 8}

D) (2n + 1){\lambda \over {16}}

EasyJee Advance2012

Young's double slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are $\betaG, \betaR and \beta$B, respectively. Then,

Options:

A) \betaG > \betaB > \beta$R

B) \betaB > \betaG > \beta$R

C) \betaR > \betaB > \beta$G

D) \betaR > \betaG > \beta$B

MediumJee Advance2011

A light ray travelling in glass medium is incident on glass-air interface at an angle of incidence $\theta. The reflected (R) and transmitted (T) intensities, both as function of \theta$, are plotted. The correct sketch is

Options:

HardJee Advance2009

Column I shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits S$_1 and S_2. In each of these cases, S_1P_0 = S_2P_0, S_1P_1 - S_2P_1 = \lambda/4 and S_1P_2 - S_2P_2 = \lambda/3, where \lambda is the wavelength of the light used. In the cases B, C and D, a transparent sheet of refractive index \mu and thickness t is pasted on slit S_2. The thickness of the sheets are different in different cases. The phase difference between the light waves reaching a point P on the screen from the two slits is denoted by \delta(P) and the intensity by I(P). Match each situation given in Column I with the statement(s) in Column II valid for that situation: Column I Column II (A) (P) \delta ({P_0}) = 0 (B) (\mu-1)t=\lambda/4 (Q) \delta ({P_1}) = 0 (C) (\mu-1)t=\lambda/2 (R) I({P_1}) = 0 (D) (\mu-1)t=3\lambda/4 (S) I({P_0}) > I({P_1}) (T) I({P_2}) > I({P_1})

Options:

A) (A)$\to(P), (S); (B)\to(Q); (C)\to(T); (D)\to$(R), (S), (T)

B) (A)$\to(P), (S); (B)\to(R); (C)\to(T); (D)\to$(R), (S), (T)

C) (A)$\to(P), (S); (B)\to(Q); (C)\to(S); (D)\to$(R), (S), (T)

D) (A)$\to(P), (R); (B)\to(Q); (C)\to(T); (D)\to$(R), (S), (T)

EasyJee Advance2007

The figure shows surface XY separating two transparent media, medium -1 and medium -2 . The lines ab and cd represent wavefronts of a light wave traveling in medium -1 and incident on X Y. The lines ef and gh represent wavefronts of the light wave in medium -2 after refraction.

Options:

A) the same in medium-1 and medium-2

B) larger in medium-1 than in medium-2

C) larger in medium-2 than in medium-1

D) different at b and d

MediumJEE Mains2014

In a Young's double slit experiment, the distance between the two identical slits is 6.1 times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single slit diffraction pattern is :

Options:

A) 3

B) 6

C) 12

D) 24

MediumJEE Mains2014

The diameter of the objective lens of microscope makes an angle $\beta $ at the focus of the microscope. Further, the medium between the object and the lens is an oil of refractive index n. Then the resolving power of the microscope.

Options:

A) Increases with decreasing value of n

B) Increases with decreasing value of $\beta

C) Increases with increasing value of n sin 2$\beta

D) Increases with increasing value of ${1 \over {n\sin 2\beta }}

MediumJEE Mains2026

Given below are two statements : Statement I : A plane wave after passing through prism remains as plane wave but passing through small pin hole may become spherical wave. Statement II : The curvature of a spherical wave emerging from a slit will increase for increasing slit width. In the light of the above statements, choose the correct answer from the options given below :

Options:

A) Both Statement I and Statement II are false

B) Both Statement I and Statement II are true

C) Statement I is true but Statement II is false

D) Statement I is false but Statement II is true

MediumJEE Mains2026

In the Young's double slit experiment the intensity produced by each one of the individual slits is I_{\mathrm{o}}. The distance between two slits is 2 mm . The distance of screen from slits is 10 m . The wavelength of light is 6000 \mathrm{~A}^{\circ}. The intensity of light on the screen in front of one of the slits is \_\_\_\_

Options:

A) \frac{I_o}{2}

B) I_{\mathrm{o}}

C) 2 I_{\mathrm{o}}

D) 4 I_{\mathrm{o}}

EasyJEE Mains2026

When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam with respect to the normal is \_\_\_\_ . \left(\tan ^{-1}(1.52)=57.7^{\circ}\right., refractive indices of air and glass are 1.00 and 1.52, respectively.)

Options:

A) 36.3^{\circ}

B) 39.6^{\circ}

C) 42.6^{\circ}

D) 32.3^{\circ}

EasyJEE Mains2026

The wavelength of light, while it is passing through water is 540 nm . The refractive index of water is 4 / 3. The wavelength of the same light when it is passing through a transparent medium having refractive index of 3 / 2 is \_\_\_\_ nm.

Options:

A) 540

B) 840

C) 480

D) 380

EasyJEE Mains2026

Which of the following are true for a single slit diffraction? A. Width of central maxima increases with increase in wavelength keeping slit width constant. B. Width of central maxima increases with decrease in wavelength keeping slit width constant. C. Width of central maxima increases with decrease in slit width at constant wavelength. D. Width of central maxima increases with increase in slit width at constant wavelength. E. Brightness of central maxima increases for decrease in wavelength at constant slit width.

Options:

A) B, D only

B) A, D only

C) A, C, E only

D) B, C only

MediumJEE Mains2026

Given below are two statements :Statement I : In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of the slitsStatement II : In a Young's double slit experiment, the angular separation of fringes will increase when monochromatic source is replaced by another monochromatic source of higher wavelengthIn the light of the above statements, choose the correct answer from the options given below :

Options:

A) Both Statement I and Statement II are true

B) Statement I is true but Statement II is false

C) Statement I is false but Statement II is true

D) Both Statement I and Statement II are false

MediumJEE Mains2026

In a double slit experiment the distance between the slits is 0.1 cm and the screen is placed at 50 cm from the slits plane. When one slit is covered with a transparent sheet having thickness t and refractive index n(=1.5), the central fringe shifts by 0.2 cm . The value of t is \_\_\_\_ cm.

Options:

A) 6.0 \times 10^{-3}

B) 8 \times 10^{-4}

C) 5.0 \times 10^{-3}

D) 5.6 \times 10^{-4}

MediumJEE Mains2025

In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this case:

Options:

A) there shall be alternate interference fringes of red and green.

B) there shall be an interference pattern for red distinct from that for green.

C) there shall be an interference pattern, where each fringe's pattern center is green and outer edges is red.

D) there shall be no interference fringes.

EasyJEE Mains2025

Two plane polarized light waves combine at a certain point whose electric field components are $\begin{aligned} & E_1=E_0 \operatorname{Sin} \omega t \\ & E_2=E_0 \operatorname{Sin}\left(\omega t+\frac{\pi}{3}\right) \end{aligned}$ Find the amplitude of the resultant wave.

Options:

A) 1.7 \mathrm{~E}_0

B) \mathrm{E}_0

C) 0.9 \mathrm{~E}_0

D) 3.4 \mathrm{~E}_0

MediumJEE Mains2025

Two polarisers P_1 and P_2 are placed in such a way that the intensity of the transmitted light will be zero. A third polariser P_3 is inserted in between P_1 and P_2, at particular angle between P_2 and P_3. The transmitted intensity of the light passing the through all three polarisers is maximum. The angle between the polarisers P_2 and P_3 is :

Options:

A) \pi / 6

B) \frac{\pi}{3}

C) \frac{\pi}{4}

D) \pi / 8

EasyJEE Mains2025

In a Young's double slit experiment, the slits are separated by 0.2 mm . If the slits separation is increased to 0.4 mm , the percentage change of the fringe width is :

Options:

A) 25 \%

B) 50 \%

C) 0 \%

D) 100 \%

EasyJEE Mains2025

Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is

Options:

A) 8: 1

B) 4: 1

C) 3: 1

D) 9: 1

MediumJEE Mains2025

Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is :

Options:

A) 3: 1

B) (2 \sqrt{2}+1):(2 \sqrt{2}-1)

C) 9: 1

D) (3+2 \sqrt{2}):(3-2 \sqrt{2})

EasyJEE Mains2025

A monochromatic light of frequency 5 \times 10^{14} \mathrm{~Hz} travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be :

Options:

A) 400 nm

B) 300 nm

C) 600 nm

D) 500 nm

MediumJEE Mains2025

A light wave is propagating with plane wave fronts of the type x+y+z= constant. Th angle made by the direction of wave propagation with the x-axis is :

Options:

A) \cos ^{-1}(2 / 3)

B) \cos ^{-1}\left(\frac{1}{\sqrt{3}}\right)

C) \cos ^{-1}\left(\frac{1}{3}\right)

D) \cos ^{-1}\left(\sqrt{\frac{2}{3}}\right)

HardJEE Mains2025

At the interface between two materials having refractive indices n_1 and n_2, the critical angle for reflection of an em wave is \theta_{1C}. The \mathrm{n}_2 material is replaced by another material having refractive index n_3 such that the critical angle at the interface between n_1 and n_3 materials is \theta_{2 C}. If n_3>n_2>n_1 ; \frac{n_2}{n_3}=\frac{2}{5} and \sin \theta_{2 C}-\sin \theta_{1 C}=\frac{1}{2}, then \theta_{1 C} is :

Options:

A) \sin^{-1}\left( \frac{1}{6n_1} \right)

B) \sin^{-1}\left( \frac{1}{3n_1} \right)

C) \sin^{-1}\left( \frac{5}{6n_1} \right)

D) \sin^{-1}\left( \frac{2}{3n_1} \right)

MediumJEE Mains2025

In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of P_1 and P_2 are orthogonal to each other. The polarizer P_3 covers both the slits with its transmission axis at 45^{\circ} to those of P_1 and P_2. An unpolarized light of wavelength \lambda and intensity I_0 is incident on P_1 and P_2. The intensity at a point after P_3 where the path difference between the light waves from s_1 and s_2 is \frac{\lambda}{3}, is

Options:

A) \mathrm{I}_0

B) \frac{\mathrm{I}_0}{3}

C) \frac{\mathrm{I}_0}{4}

D) \mathrm{\frac{I_0}{2}}

EasyJEE Mains2025

Young's double slit inteference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm . The slits are illuminated by a parallel beam of light whose wavelength in air is 690 nm . The fringe-width on a screen placed behind the plane of slits at a distance of 0.72 m , will be:

Options:

A) 0.63 mm

B) 0.33 mm

C) 0.46 mm

D) 0.23 mm

EasyJEE Mains2025

The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm light that are required for the first coincidence with the bright fringes formed by 600 nm light is

Options:

A) 8

B) 4

C) 5

D) 6

MediumJEE Mains2025

The width of one of the two slits in Young's double slit experiment is d while that of the other slit is x \mathrm{~d}. If the ratio of the maximum to the minimum intensity in the interference pattern on the screen is 9: 4 then what is the value of x ? (Assume that the field strength varies according to the slit width.)

Options:

A) 2

B) 3

C) 4

D) 5

MediumJEE Mains2025

A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of transparent film to be coated for the maximum transmission of Green light of wavelength 550 nm . [Assume that the light is incident nearly perpendicular to the glass surface.]

Options:

A) 68.7 nm

B) 137.5 nm

C) 94.8 nm

D) 275 nm

EasyJEE Mains2025

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In Young's double slit experiment, the fringes produced by red light are closer as compared to those produced by blue light. Reason (R) : The fringe width is directly proportional to the wavelength of light. In the light of the above statements, choose the correct answer from the options given below :

Options:

A) (A) is true but (R) is false

B) Both (A) and (R) are true and (R) is the correct explanation of (A)

C) (A) is false but (R) is true

D) Both (\mathbf{A}) and (\mathbf{R}) are true but (\mathbf{R}) is NOT the correct explanation of (A)

EasyJEE Mains2025

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion-(A) : If Young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer. Reason-(R) : The speed of light reduces in an optically denser medium than air while its frequency does not change. In the light of the above statements, choose the most appropriate answer from the options given below :

Options:

A) (A) is false but (R) is true

B) Both (A) and (R) are true but (R) is not the correct explanation of (A)

C) Both (A) and (R) are true and (R) is the correct explanation of (A)

D) (A) is true but (R) is false

EasyJEE Mains2024

Given below are two statements : Statement I : When the white light passed through a prism, the red light bends lesser than yellow and violet. Statement II : The refractive indices are different for different wavelengths in dispersive medium. In the light of the above statements, chose the correct answer from the options given below :

Options:

A) Both Statement I and Statement II are true

B) Statement I is true but Statement II is false

C) Statement I is false but Statement II is true

D) Both Statement I and Statement II are false

EasyJEE Mains2024

Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :

Options:

A) cylindrical

B) spherical

C) plane

D) both spherical and cylindrical

MediumJEE Mains2024

The width of one of the two slits in a Young's double slit experiment is 4 times that of the other slit. The ratio of the maximum of the minimum intensity in the interference pattern is:

Options:

A) 1: 1

B) 4: 1

C) 16: 1

D) 9: 1

EasyJEE Mains2024

A microwave of wavelength 2.0 \mathrm{~cm} falls normally on a slit of width 4.0 \mathrm{~cm}. The angular spread of the central maxima of the diffraction pattern obtained on a screen 1.5 \mathrm{~m} away from the slit, will be :

Options:

A) 60^{\circ}

B) 45^{\circ}

C) 15^{\circ}

D) 30^{\circ}

MediumJEE Mains2024

A monochromatic light of wavelength 6000 ~\mathring{A} is incident on the single slit of width 0.01 \mathrm{~mm}. If the diffraction pattern is formed at the focus of the convex lens of focal length 20 \mathrm{~cm}, the linear width of the central maximum is :

Options:

A) 12 \mathrm{~mm}

B) 24 \mathrm{~mm}

C) 60 \mathrm{~mm}

D) 120 \mathrm{~mm}

EasyJEE Mains2024

When unpolarized light is incident at an angle of $60^{\circ}$ on a transparent medium from air, the reflected ray is completely polarized. The angle of refraction in the medium is:

Options:

A) 60^{\circ}

B) 90^{\circ}

C) 30^{\circ}

D) 45^{\circ}

EasyJEE Mains2024

A beam of unpolarised light of intensity $I_0 is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45^{\circ} relative to that of A$. The intensity of emergent light is:

Options:

A) I_0 / 2

B) I_0 / 8

C) I_0 / 4

D) I_0

EasyJEE Mains2024

The diffraction pattern of a light of wavelength $400 \mathrm{~nm} diffracting from a slit of width 0.2 \mathrm{~mm} is focused on the focal plane of a convex lens of focal length 100 \mathrm{~cm}. The width of the 1^{\text {st }}$ secondary maxima will be :

Options:

A) 2 mm

B) 0.2 mm

C) 0.02 mm

D) 2 cm

EasyJEE Mains2024

In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the two lights reaching at a point on the screen is $7 \lambda / 4$. The ratio of intensity of fringe at this point with respect to the maximum intensity of the fringe is :

Options:

A) \frac{1}{2}

B) \frac{3}{4}

C) \frac{1}{3}

D) \frac{1}{4}

100

MediumJEE Mains2024

When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :

Options:

A) 90^\circ

B) 30^\circ

C) 45^\circ

D) 60^\circ

101

EasyJEE Mains2023

A single slit of width a is illuminated by a monochromatic light of wavelength 600 \mathrm{~nm}. The value of ' a ' for which first minimum appears at \theta=30^{\circ} on the screen will be :

Options:

A) {3} \mu \mathrm{m}

B) 0.6 \mu \mathrm{m}

C) 1.8 \mu \mathrm{m}

D) 1.2 \mu \mathrm{m}

102

EasyJEE Mains2023

In a Young's double slits experiment, the ratio of amplitude of light coming from slits is $2: 1$. The ratio of the maximum to minimum intensity in the interference pattern is:

Options:

A) 25 : 9

B) 9 : 1

C) 9 : 4

D) 2 : 1

103

MediumJEE Mains2023

The ratio of intensities at two points $\mathrm{P} and \mathrm{Q} on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are \pi / 3 and \pi / 2$, respectively are

Options:

A) 2 : 3

B) 1 : 3

C) 3 : 1

D) 3 : 2

104

EasyJEE Mains2023

The width of fringe is $2 \mathrm{~mm} on the screen in a double slits experiment for the light of wavelength of 400 \mathrm{~nm}. The width of the fringe for the light of wavelength 600 \mathrm{nm}$ will be:

Options:

A) 4 mm

B) 1.33 mm

C) 2 mm

D) 3 mm

105

MediumJEE Mains2023

'$n' polarizing sheets are arranged such that each makes an angle 45^{\circ} with the preceeding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be I / 64. The value of n$ will be:

Options:

A) 4

B) 5

C) 3

D) 6

106

MediumJEE Mains2023

Two polaroide $\mathrm{A} and \mathrm{B} are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid \mathrm{C} is placed between \mathrm{A} and \mathrm{B} bisecting angle between them. If intensity of unpolarized light is \mathrm{I}_{0} then intensity of transmitted light after passing through polaroid \mathrm{B}$ will be:

Options:

A) \frac{I_{0}}{4}

B) \frac{I_{0}}{8}

C) Zero

D) \frac{I_{0}}{2}

107

MediumJEE Mains2023

In a Young's double slit experiment, two slits are illuminated with a light of wavelength $800 \mathrm{~nm}. The line joining A_{1} P is perpendicular to A_{1} A_{2} as shown in the figure. If the first minimum is detected at P$, the value of slits separation 'a' will be: The distance of screen from slits D = 5 cm

Options:

A) 0.2 mm

B) 0.5 mm

C) 0.4 mm

D) 0.1 mm

108

EasyJEE Mains2023

In Young's double slits experiment, the position of 5$\mathrm{^{th}}$ bright fringe from the central maximum is 5 cm. The distance between slits and screen is 1 m and wavelength of used monochromatic light is 600 nm. The separation between the slits is :

Options:

A) 60 $\mu$m

B) 48 $\mu$m

C) 36 $\mu$m

D) 12 $\mu$m

109

MediumJEE Mains2023

Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is $\mathrm{\theta_B}, then the Brewster's angle for the light propagating from glass to air is \frac{\pi}{2}-\theta_B Statement II : The Brewster's angle for the light propagating from glass to air is {\tan ^{ - 1}}({\mu _\mathrm{g}}) where \mathrm{\mu_g}$ is the refractive index of glass. In the light of the above statements, choose the correct answer from the options given below :

Options:

A) Both Statement I and Statement II are false

B) Both Statement I and Statement II are true

C) Statement I is false but Statement II is true

D) Statement I is true but Statement II is false

110

EasyJEE Mains2022

An unpolarised light beam of intensity $2 I_{0} is passed through a polaroid P and then through another polaroid Q which is oriented in such a way that its passing axis makes an angle of 30^{\circ}$ relative to that of P. The intensity of the emergent light is

Options:

A) \frac{\mathrm{I}_{0}}{4}

B) \frac{\mathrm{I}_{0}}{2}

C) \frac{3 I_{0}}{4}

D) \frac{3 \mathrm{I}_{0}}{2}

111

MediumJEE Mains2022

Two coherent sources of light interfere. The intensity ratio of two sources is $1: 4. For this interference pattern if the value of \frac{I_{\max }+I_{\min }}{I_{\max }-I_{\min }} is equal to \frac{2 \alpha+1}{\beta+3}, then \frac{\alpha}{\beta}$ will be :

Options:

A) 1.5

B) 2

C) 0.5

D) 1

112

EasyJEE Mains2022

In Young's double slit experiment, the fringe width is $12 \mathrm{~mm}. If the entire arrangement is placed in water of refractive index \frac{4}{3}$, then the fringe width becomes (in mm):

Options:

A) 16

B) 9

C) 48

D) 12

113

MediumJEE Mains2022

Find the ratio of maximum intensity to the minimum intensity in the interference pattern if the widths of the two slits in Young's experiment are in the ratio of 9 : 16. (Assuming intensity of light is directly proportional to the width of slits)

Options:

A) 3 : 4

B) 4 : 3

C) 7 : 1

D) 49 : 1

114

EasyJEE Mains2022

Using Young's double slit experiment, a monochromatic light of wavelength 5000 $\mathop A\limits^o produces fringes of fringe width 0.5 mm. If another monochromatic light of wavelength 6000 \mathop A\limits^o $ is used and the separation between the slits is doubled, then the new fringe width will be :

Options:

A) 0.5 mm

B) 1.0 mm

C) 0.6 mm

D) 0.3 mm

115

MediumJEE Mains2022

In Young's double slit experiment performed using a monochromatic light of wavelength $\lambda, when a glass plate (\mu = 1.5) of thickness x\lambda$ is introduced in the path of the one of the interfering beams, the intensity at the position where the central maximum occurred previously remains unchanged. The value of x will be :

Options:

A) 3

B) 2

C) 1.5

D) 0.5

116

EasyJEE Mains2022

For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is 670.7 nm. The value of v is :

Options:

A) 3 $\times 108 ms-$1

B) 3 $\times 1010 ms-$1

C) 3.13 $\times 105 ms-$1

D) 4.48 $\times 105 ms-$1

117

MediumJEE Mains2022

The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio ${{{I_{\max }} + {I_{\min }}} \over {{I_{\max }} - {I_{\min }}}} is {5 \over x}$. Then, the value of x will be equal to :

Options:

A) 3

B) 4

C) 2

D) 1

118

MediumJEE Mains2022

A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's angle. Choose the most suitable option for the phenomenon related to the prism.

Options:

A) Reflected and refracted rays will be perpendicular to each other.

B) Wave will propagate along the surface of prism.

C) No refraction, and there will be total reflection of light.

D) No reflection, and there will be total transmission of light.

119

EasyJEE Mains2022

The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is $\pi/2 at point P and \pi$ at point Q. Then the difference between the resultant intensities at P and Q will be :

Options:

A) 2 I

B) 6 I

C) 5 I

D) 7 I

120

EasyJEE Mains2022

Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be :

Options:

A) 2 : 3

B) 16 : 81

C) 25 : 169

D) 25 : 1

121

EasyJEE Mains2021

The light waves from two coherent sources have same intensity I1 = I2 = I0. In interference pattern the intensity of light at minima is zero. What will be the intensity of light at maxima?

Options:

A) I0

B) 2 I0

C) 5 I0

D) 4 I0

122

EasyJEE Mains2021

In Young's double slit experiment, if the source of light changes from orange to blue then :

Options:

A) the central bright fringe will become a dark fringe.

B) the distance between consecutive fringes will decrease.

C) the distance between consecutive fringes will increases.

D) the intensity of the minima will increase.

123

MediumJEE Mains2021

In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d0 + a0 sin$\omegat; where d0, \omega$ and a0 are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as :

Options:

A) {{2\lambda D({d_0})} \over {(d_0^2 - a_0^2)}}

B) {{2\lambda D{a_0}} \over {(d_0^2 - a_0^2)}}

C) {{\lambda D} \over {d_0^2}}{a_0}

D) {{\lambda D} \over {{d_0} + {a_0}}}

124

MediumJEE Mains2021

With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890 $\mathop A\limits^o is observed at 5896 \mathop A\limits^o $ ?

Options:

A) 306 km/sec

B) 322 km/sec

C) 296 km/sec

D) 336 km/sec

125

EasyJEE Mains2021

In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.5 m from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a monochromatic light of 5890 $\mathop A\limits^o $ is :-

Options:

A) 1178 $\times 10-$9 m

B) 1178 $\times 10-$6 m

C) 1178 $\times 10-$12 m

D) 5890 $\times 10-$7 m

126

EasyJEE Mains2021

In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used, the fringe separation will be :

Options:

A) 0.50 mm

B) 0.25 mm

C) 1 mm

D) 0.75 mm

127

MediumJEE Mains2021

Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 $\mu$m. If the diameter of the pinhole is slightly increased, it will affect the diffraction pattern such that:

Options:

A) its size increases, but intensity decreases

B) its size increases, and intensity increases

C) its size decreases, but intensity increases

D) its sizes decreases, and intensity decreases

128

MediumJEE Mains2021

Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio ${{{I_{\max }} - {I_{\min }}} \over {{I_{\max }} + {I_{\min }}}}$ will be :

Options:

A) {{2\sqrt {2x} } \over {2x + 1}}

B) {{2\sqrt {2x} } \over {x + 1}}

C) {{\sqrt {2x} } \over {x + 1}}

D) {{\sqrt {2x} } \over {2x + 1}}

129

EasyJEE Mains2021

If the source of light used in a Young's double slit experiment is changed from red to violet :

Options:

A) the fringes will become brighter.

B) the intensity of minima will increase.

C) consecutive fringe lines will come closer.

D) the central bright fringe will become a dark fringe.

130

MediumJEE Mains2021

In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of the light coming from a slit is proportional to the slit-width. Find the ratio of the maximum to the minimum intensity in the interference pattern.

Options:

A) 4 : 1

B) 2 : 1

C) 1 : 4

D) 3 : 1

131

MediumJEE Mains2020

In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20 m. The separation between P and Q is 5 m and the phase of P is ahead of that of Q by 90o. A, B and C are three distinct points of observation, each equidistant from the midpoint of PQ. The intensities of radiation at A, B, C will be in the ratio :

Options:

A) 4 : 1 : 0

B) 2 : 1 : 0

C) 0 : 1 : 2

D) 0 : 1 : 4

132

MediumJEE Mains2020

Two coherent sources of sound, S1 and S2, produce sound waves of the same wavelength, $\lambda $ = 1 m, in phase. S1 and S2 are placed 1.5 m apart (see fig). A listener, located at L, directly in front of S2 finds that the intensity is at a minimum when he is 2 m away from S2. The listener moves away from S1, keeping his distance from S2 fixed. The adjacent maximum of intensity is observed when the listener is at a distance d from S1. Then, d is :

Options:

A) 12 m

B) 2 m

C) 3 m

D) 5 m

133

MediumJEE Mains2020

A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm-2 falls normally on a polariser (cross sectional area 3 $ \times $ 10-4 m2) which rotates about its axis with an angular speed of 31.4 rad/s. The energy of light passing through the polariser per revolution, is close to :

Options:

A) 1.0 $ \times $ 10-5 J

B) 1.0 $ \times $ 10-4 J

C) 1.5 $ \times $ 10-4 J

D) 5.0 $ \times $ 10-4 J

134

MediumJEE Mains2020

Two light waves having the same wavelength $\lambda $ in vacuum are in phase initially. Then the first wave travels a path L1 through a medium of refractive index n1 while the second wave travels a path of length L2 through a medium of refractive index n2 . After this the phase difference between the two waves is :

Options:

A) {{2\pi } \over \lambda }\left( {{n_1}{L_1} - {n_2}{L_2}} \right)

B) {{2\pi } \over \lambda }\left( {{n_2}{L_1} - {n_1}{L_2}} \right)

C) {{2\pi } \over \lambda }\left( {{{{L_1}} \over {{n_1}}} - {{{L_2}} \over {{n_2}}}} \right)

D) {{2\pi } \over \lambda }\left( {{{{L_2}} \over {{n_1}}} - {{{L_1}} \over {{n_2}}}} \right)

135

MediumJEE Mains2020

In a Young’s double slit experiment, light of 500 nm is used to produce an interference pattern. When the distance between the slits is 0.05 mm, the angular width (in degree) of the fringes formed on the distance screen is close to

Options:

A) 0.17o

B) 1.7o

C) 0.57o

D) 0.07o

136

MediumJEE Mains2020

In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the screen when light of a wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be

Options:

A) 28

B) 24

C) 30

D) 18

137

MediumJEE Mains2020

Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source ($\lambda $ = 632.8 nm). The distance between the screen and the slits is 100 cm. If a bright fringe is observed on a screen at a distance of 1.27 mm from the central bright fringe, then the path difference between the waves, which are reaching this point from the slits is close is

Options:

A) 1.27 $\mu $m

B) 2.05 $\mu $m

C) 2.87 nm

D) 2 nm

138

MediumJEE Mains2020

In a double slit experiment, at a certain point on the screen the path difference between the two interfering waves is ${1 \over 8}$th of a wavelength. The ratio of the intensity of light at that point to that at the centre of a bright fringe is :

Options:

A) 0.853

B) 0.568

C) 0.672

D) 0.760

139

MediumJEE Mains2020

In a Young's double slit experiment, the separation between the slits is 0.15 mm. in the experiment, a source of light of wavelengh 589 nm is used and the interference pattern is observed on a screen kept 1.5 m away. The separation between the successive bright fringes on the screen is :

Options:

A) 4.9 mm

B) 5.9 mm

C) 6.9 mm

D) 3.9 mm

140

MediumJEE Mains2020

Visible light of wavelength 6000 $ \times 10-8 cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at 60o from the central maximum. If the first minimum is produced at \theta 1, then \theta $1, is close to :

Options:

A) 45o

B) 30o

C) 25o

D) 20o

141

MediumJEE Mains2020

A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the original intensity. Assuming that the polarizer - analyser set does not absorb any light, the angle by which the analyser need to be rotated further to reduce the output intensity to be zero, is :

Options:

A) 71.6o

B) 90o

C) 18.4o

D) 45o

142

MediumJEE Mains2019

A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1. The pass axis of P2 is inclined at 60o to the pass axis of P3. When a beam of unpolarized light of intensity I0 is incident on P1, the intensity of light transmitted by the three polarizers is I. The ratio (${{{I_0}} \over I}$) equals (nearly) :

Options:

A) 10.67

B) 5.33

C) 16.00

D) 1.80

143

MediumJEE Mains2019

In a double slit experiment, when a thin film of thickness t having refractive index $\mu . is introduced in front of one of the slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of t is (\lambda $ is the wavelength of the light used) :

Options:

A) {\lambda \over {2\left( {\mu - 1} \right)}}

B) {\lambda \over {\left( {2\mu - 1} \right)}}

C) {{2\lambda } \over {\left( {\mu - 1} \right)}}

D) {\lambda \over {\left( {\mu - 1} \right)}}

144

MediumJEE Mains2019

The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 $\mathop A\limits^o $ is used, the minimum separation between two points, to be seen as distinct, will be :

Options:

A) 0.12 $\mu $m

B) 0.38 $\mu $m

C) 0.24 $\mu $m

D) 0.48 $\mu $m

145

MediumJEE Mains2019

In a Young's double slit experiment, the ratio of the slit's width is 4 : 1. The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will be :

Options:

A) 25 : 9

B) 4 : 1

C) {\left( {\sqrt 3 + 1} \right)^4}:16

D) 9 : 1

146

MediumJEE Mains2019

Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600nm. coming from a distant object, the limit of resolution of the telescope is close to :-

Options:

A) 3.0 × 10–7 rad

B) 4.5 × 10–7 rad

C) 1.5 × 10–7 rad

D) 2.0 × 10–7 rad

147

MediumJEE Mains2019

The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gest shifted by a distance equal to n fringe widths. If the wavelength of light used is $\lambda $, t will be :

Options:

A) {{D\lambda } \over {a\left( {\mu - 1} \right)}}

B) {{2nD\lambda } \over {a\left( {\mu - 1} \right)}}

C) {{2D\lambda } \over {a\left( {\mu - 1} \right)}}

D) {{n\lambda } \over {\left( {\mu - 1} \right)}}

148

MediumJEE Mains2019

Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star :-

Options:

A) 610 × 10–9 radian

B) 457.5 × 10–9 radian

C) 305 × 10–9 radian

D) 152.5 × 10–9 radian

149

MediumJEE Mains2019

In an interference experiment the ratio of amplitudes of coherent waves is ${{{a_1}} \over {{a_2}}} = {1 \over 3}$ . The ratio of maximum and minimum intensities of fringes will be :

Options:

A) 2

B) 4

C) 18

D) 9

150

MediumJEE Mains2019

In a double-slit experiment, green light (5303$\mathop A\limits^ \circ ) falls on a double slit having a separation of 19.44 \mu m and awidht of 4.05 \mu $m. The number of bright fringes between the first and the second diffraction minima is :

Options:

A) 04

B) 05

C) 10

D) 09

151

MediumJEE Mains2019

In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is ${1 \over 8}$ th of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is close to :

Options:

A) 0.94

B) 0.85

C) 0.74

D) 0.80

152

MediumJEE Mains2019

Consider a Young’s double slit experiment as shown in figure. What should be the slit separation d in terms of wavelength $\lambda $ such that the first minima occurs directly in front of the slit (S1) ?

Options:

A) {\lambda \over {2\left( {5 - \sqrt 2 } \right)}}

B) {\lambda \over {2\left( {\sqrt 5 - 2} \right)}}

C) {\lambda \over {\left( {5 - \sqrt 2 } \right)}}

D) {\lambda \over {\left( {\sqrt 5 - 2} \right)}}

153

MediumJEE Mains2019

In a Young’s double slit experiment with slit separation 0.1 mm, one observes a bright fringe at angle ${1 \over {40}} by using light of wavelength \lambda 1. When the light of wavelength \lambda 2 is used a bright fringe is seen at the same angle in the same set up. Given that \lambda 1 and \lambda $2 are in visible range (380 nm to 740 nm), their values are -

Options:

A) 400 nm, 500 nm

B) 625 nm, 500 nm

C) 380 nm, 500 nm

D) 380 nm, 525 nm

154

MediumJEE Mains2019

In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $\lambda = 500 nm is incident on the slits. The total number of bright fringes that are observed in the angular range - 30o \le \theta \le $30o is :

Options:

A) 640

B) 320

C) 321

D) 641

155

MediumJEE Mains2019

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16. The intensity of the waves are in the ratio :

Options:

A) 16 : 9

B) 25 : 9

C) 4 : 1

D) 5 : 3

156

MediumJEE Mains2019

Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index $\mu . A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of \mu $ is :

Options:

A) \sqrt {{5 \over 3}}

B) {3 \over {\sqrt 5 }}

C) {5 \over {\sqrt 3 }}

D) {4 \over 3}

157

MediumJEE Mains2018

Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2. If a third polarizer C is placed between A and B, the intensity of emergent light is reduced to I/3. The angle between the polarizers A and C is $\theta $. Then :

Options:

A) cos$\theta = {\left( {{2 \over 3}} \right)^{{\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}}}

B) cos$\theta = {\left( {{2 \over 3}} \right)^{{\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 4}}}}

C) cos$\theta = {\left( {{1 \over 3}} \right)^{{\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}}}

D) cos$\theta = {\left( {{1 \over 3}} \right)^{{\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 4}}}}

158

MediumJEE Mains2018

Unpolarized light of intensity I passes through an ideal polarizer A. Another identical polarizer B is placed behind A. The intensity of light beyond B is found to be I/2. Now another identical polarizer C is placed between A and B. The intensity beyond B is now found to be I/8. The angle between polarizer A and C is :

Options:

A) 60o

B) 30o

C) 45o

D) 0o

159

MediumJEE Mains2018

The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 $\mu $m. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young’s fringes can be observed on a screen placed at a distance 50 cm from the slits. If the observed fringe width is 1 cm, what is slit separation distance? (i.e. distance between the centres of each slit.)

Options:

A) 100 $\mu $m

B) 25 $\mu $m

C) 50 $\mu $m

D) 75 $\mu $m

160

MediumJEE Mains2018

A plane polarized light is incident on a polariser with its pass axis aking angle $\theta with x-axis, as shown in the figure. At four different values of \theta ,\,\theta $ = 8o, 38o, 188o and 218o, the observed intensities are same. What is the angle between the direction of polarization and x-axis ?

Options:

A) 98o

B) 128o

C) 203o

D) 45o

161

MediumJEE Mains2018

Light of wavelength $550 nm falls normally on a slit of width 22.0 \times {10^{ - 5}} cm.$ The angular position of the second minima from the central maximum will (in radians) :

Options:

A) {\pi \over {12}}

B) {\pi \over 8}

C) {\pi \over 6}

D) {\pi \over 4}

162

MediumJEE Mains2017

A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 $\mathop A\limits^ \circ $ and diffraction bands are observed on a screen 0.5 m from the slit. The distance of the third dark band from the central bright band is :

Options:

A) 3 mm

B) 9 mm

C) 4.5 mm

D) 1.5 mm

163

MediumJEE Mains2017

A single slit of width b is illuminated by a coherent monochromatic light of wavelength $\lambda $. If the second and fourthminima in the diffraction pattern at a distance 1 m from the slit are at 3 cm and 6 cm respectively from the central maximum, what is the width of the central maximum ? (i.e. distance between first minimum on either side of the central maximum)

Options:

A) 1.5 cm

B) 3.0 cm

C) 4.5 cm

D) 6.0 cm

164

MediumJEE Mains2017

In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is

Options:

A) 15.6 mm

B) 1.56 mm

C) 7.8 mm

D) 9.75 mm

165

MediumJEE Mains2016

Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To see the stars just resolved by the telescope, the minimum distance between them should be (1 light year = 9.46 $ \times $ 1015 m) of the order of :

Options:

A) 106 km

B) 108 km

C) 1011 km

D) 1010 km

166

MediumJEE Mains2016

In Young’s double slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits is varied, the interference pattern disappears for a particular distance d0 between the slits. If the angular resolution of the eye is $({{{1}} \over {60}})^o$, the value of d0 is close to :

Options:

A) 1 mm

B) 2 mm

C) 4 mm

D) 3 mm

167

MediumJEE Mains2016

The box of a pin hole camera, of length $L, has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength \lambda the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say {b_{\min }}$) when :

Options:

A) a = \sqrt {\lambda L} \, and {b_{\min }} = \sqrt {4\lambda L}

B) a = {{{\lambda ^2}} \over L} and {b_{\min }} = \sqrt {4\lambda L}

C) a = {{{\lambda ^2}} \over L} and {b_{\min }} = \left( {{{2{\lambda ^2}} \over L}} \right)

D) a = \sqrt {\lambda L} and {b_{\min }} = \left( {{{2{\lambda ^2}} \over L}} \right)

168

MediumJEE Mains2015

Assuming human pupil to have a radius of $0.25 cm and a comfortable viewing distance of 25 cm, the minimum separation between two objects that human eye can resolve at 500 nm$ wavelength is :

Options:

A) 100\,\mu m

B) 300\,\mu m

C) 1\,\mu m

D) 30\,\mu m

169

MediumJEE Mains2015

On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the ground. When a light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beam :

Options:

A) bends down wards

B) bends upwards

C) becomes narrower

D) goes horizontally without any deflection

170

MediumJEE Mains2014

Two beams, $A and B, of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of polaroid through {30^ \circ } makes the two beams appear equally bright. If the initial intensities of the two beams are {{\rm I}_A} and {{\rm I}_B} respectively, then {{{{\rm I}_A}} \over {{{\rm I}_B}}}$ equals:

Options:

A) 3

B) {3 \over 2}

C) 1

D) {1 \over 3}

171

MediumJEE Mains2013

A beam of unpolarised light of intensity ${{\rm I}_0} is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of {45^ \circ } relative to that of A$. The intensity of the emergent light is

Options:

A) {{\rm I}_0}

B) {{{I_0}} \over 2}

C) {{{I_0}} \over 4}

D) {{{I_0}} \over 8}

172

MediumJEE Mains2013

Two coherent point sources ${S_1} and {S_2} are separated by a small distance 'd'$ as shown. The fringes obtained on the screen will be

Options:

A) points

B) straight lines

C) semi-circles

D) concentric circles

173

MediumJEE Mains2012

In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other slit. If ${{\rm I}_m} be the maximum intensity, the resultant intensity {\rm I} when they interfere at phase difference \phi $ is given by :

Options:

A) {{{I_m}} \over 9}\left( {4 + 5\cos \,\phi } \right)

B) {{{I_m}} \over 3}\left( {1 + 2{{\cos }^2}\,{\phi \over 2}} \right)

C) {{{I_m}} \over 3}\left( {1 + 4{{\cos }^2}\,{\phi \over 2}} \right)

D) {{{I_m}} \over 9}\left( {1 + 8{{\cos }^2}\,{\phi \over 2}} \right)

174

MediumJEE Mains2011

This question has a paragraph followed by two statements, Statement $-1 and Statement -2. Of the given four alternatives after the statements, choose the one that describes the statements. A thin air film is formed by putting the convex surface of a plane-convex lens over a plane glass plane. With monochromatic light, this film gives an interference pattern due to light, reflected from the top (convex) surface and the bottom (glass plate) surface of the film. Statement - 1 : When light reflects from the air-glass plate interface, the reflected wave suffers a phase change of \pi . Statement - 2$ : The center of the interference pattern is dark.

Options:

A) Statement - $1 is true, Statement - 2 is true, Statement - 2 is the correct explanation of Statement - 1

B) Statement - $1 is true, Statement - 2 is true, Statement - 2 is not the correct explanation of Statement - 1

C) Statement - $1 is false, Statement - 2$ is true

D) Statement - $1 is true, Statement - 2$ is false.

175

MediumJEE Mains2010

An initially parallel cylindrical beam travels in a medium of refractive index $\mu \left( I \right) = {\mu _0} + {\mu _2}\,I, where {\mu _0} and {\mu _2} are positive constants and I$ is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. The initial shape of the wavefront of the beam is

Options:

A) convex

B) concave

C) convex near the axis and concave near the periphery

D) planar

176

MediumJEE Mains2009

A mixture of light, consisting of wavelength $590 nm and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide. Further, it is observed that the third bright fringe of known light coincides with the 4$th bright fringe of the unknown light. From this data, the wavelength of the unknown light is :

Options:

A) 885.0 nm

B) 442.5 nm

C) 776.8 nm

D) 393.4 nm

177

MediumJEE Mains2007

In a Young's double slit experiment the intensity at a point where the path difference is ${\lambda \over 6} ( \lambda being the wavelength of light used ) is I. If {I_0} denotes the maximum intensity, {I \over {{I_0}}}$ is equal to

Options:

A) {3 \over 4}

B) {1 \over {\sqrt 2 }}

C) {{\sqrt 3 } \over 2}

D) {1 \over 2}

178

MediumJEE Mains2005

Two point white dots are $1 mm apart on a black paper. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light =500 nm$ ]

Options:

A) 1m

B) 5m

C) 3m

D) 6m

179

MediumJEE Mains2005

A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is

Options:

A) circle

B) hyperbola

C) parabola

D) straight line

180

MediumJEE Mains2005

If ${I_0}$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

Options:

A) 4{I_0}

B) 2{I_0}

C) {{{I_0}} \over 2}

D) {I_0}

181

MediumJEE Mains2005

When an unpolarized light of intensity ${{I_0}}$ is incident on a polarizing sheet, the intensity of the light which does not get transmitted is

Options:

A) {1 \over 4}\,{I_0}

B) {1 \over 2}\,{I_0}

C) {I_0}

D) zero

182

MediumJEE Mains2004

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index $n$) is :

Options:

A) {\tan ^{ - 1}}\left( {1/n} \right)

B) {\sin ^{ - 1}}\left( {1/n} \right)

C) {\sin ^{ - 1}}\left( n \right)

D) {\tan ^{ - 1}}\left( n \right)

183

MediumJEE Mains2004

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is :

Options:

A) three

B) five

C) infinite

D) zero

184

MediumJEE Mains2003

To demonstrate the phenomenon of interference, we require two sources which emit radiation

Options:

A) of nearly the same frequency

B) of the same frequency

C) of different wavelengths

D) of the same frequency and having a definite phase relationship

185

MediumJEE Mains2026

A beam of light consisting of wavelengths 650 nm and 550 nm illuminates the Young's double slits with separation of 2 mm such that the interference fringes are formed on a screen, placed at a distance of 1.2 m from the slits. The least distance of a point from the central maximum, where the bright fringes due to both the wavelengths coincide, is ________ \times 10^{-5} m.

Options:

186

MediumJEE Mains2026

In two separate Young's double-slit experimental set-ups and two monochromatic light sources of different wavelengths are used to get fringes of equal width. The ratios of the slits separations and that of the wavelengths of light used are 2 : 1 and 1: 2 respectively. The corresponding ratio of the distances between the slits and the respective screens ( D_1 / D_2 ) is \_\_\_\_。

Options:

187

MediumJEE Mains2026

In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness 20 \mu \mathrm{~m} is introduced in front of one of the slits then center bright fringe shifts by 20 mm on the screen. The refractive index of transparent sheet is given by \frac{\alpha}{10}, where \alpha is \_\_\_\_.

Options:

188

MediumJEE Mains2025

In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm . If the 20 maxima of the double slit pattern are contained within the central maximum of the single slit diffraction pattern, then the width of each slit is x \times 10^{-3} \mathrm{~cm}, where x-value is _________ .

Options:

189

MediumJEE Mains2025

Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern is x \mathrm{I}. The value of x is___________ .

Options:

190

MediumJEE Mains2025

If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is 30^{\circ} in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is _______ \mum.

Options:

191

HardJEE Mains2025

A thin transparent film with refractive index 1.4 , is held on circular ring of radius 1.8 cm . The fluid in the film evaporates such that transmission through the film at wavelength 560 nm goes to a minimum every 12 seconds. Assuming that the film is flat on its two sides, the rate of evaporation is ____________ \pi\times 10^{-13} \mathrm{~m}^3 / \mathrm{s}.

Options:

192

EasyJEE Mains2025

A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a screen with 10 th bright fringe having its centre at a distance of 10 mm from the central maximum. Distance of the centre of the same 10 th bright fringe from the central maximum when the source of light is replaced by another source of wavelength 660 nm would be ________ mm .

Options:

193

MediumJEE Mains2024

Monochromatic light of wavelength $500 \mathrm{~nm} is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of the slits is covered with a very thin glass plate (refractive index =1.5), the central maximum is shifted to a position previously occupied by the 4^{\text {th }} bright fringe. The thickness of the glass-plate is __________ \mu \mathrm{m}$.

Options:

194

MediumJEE Mains2024

In a Young's double slit experiment, the intensity at a point is $\left(\frac{1}{4}\right)^{\text {th }} of the maximum intensity, the minimum distance of the point from the central maximum is _________ \mu \mathrm{m}. (Given : \lambda=600 \mathrm{~nm}, \mathrm{~d}=1.0 \mathrm{~mm}, \mathrm{D}=1.0 \mathrm{~m}$)

Options:

195

MediumJEE Mains2024

Two slits are $1 \mathrm{~mm} apart and the screen is located 1 \mathrm{~m} away from the slits. A light of wavelength 500 \mathrm{~nm} is used. The width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern is __________ \times 10^{-4} \mathrm{~m}$.

Options:

196

EasyJEE Mains2024

A parallel beam of monochromatic light of wavelength $600 \mathrm{~nm} passes through single slit of 0.4 \mathrm{~mm} width. Angular divergence corresponding to second order minima would be _________ \times 10^{-3} \mathrm{~rad}$.

Options:

197

MediumJEE Mains2024

Two coherent monochromatic light beams of intensities I and $4 \mathrm{~I} are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is x \mathrm{~I}. The value of x$ is __________.

Options:

198

EasyJEE Mains2024

In a single slit experiment, a parallel beam of green light of wavelength $550 \mathrm{~nm} passes through a slit of width 0.20 \mathrm{~mm}. The transmitted light is collected on a screen 100 \mathrm{~cm} away. The distance of first order minima from the central maximum will be x \times 10^{-5} \mathrm{~m}. The value of x$ is :

Options:

199

EasyJEE Mains2024

In Young's double slit experiment, carried out with light of wavelength $5000~\mathop A\limits^o, the distance between the slits is 0.3 \mathrm{~mm} and the screen is at 200 \mathrm{~cm} from the slits. The central maximum is at x=0 \mathrm{~cm}. The value of x for third maxima is __________ \mathrm{mm}$.

Options:

200

MediumJEE Mains2024

Two wavelengths $\lambda_1 and \lambda_2 are used in Young's double slit experiment. \lambda_1=450 \mathrm{~nm} and \lambda_2=650 \mathrm{~nm}. The minimum order of fringe produced by \lambda_2 which overlaps with the fringe produced by \lambda_1 is n. The value of n$ is _______.

Options:

201

MediumJEE Mains2024

In Young's double slit experiment, monochromatic light of wavelength 5000 Å is used. The slits are 1.0 \mathrm{~mm} apart and screen is placed at 1.0 \mathrm{~m} away from slits. The distance from the centre of the screen where intensity becomes half of the maximum intensity for the first time is _________ \times 10^{-6} \mathrm{m}.

Options:

202

MediumJEE Mains2024

Two waves of intensity ratio $1: 9 cross each other at a point. The resultant intensities at that point, when (a) Waves are incoherent is I_1 (b) Waves are coherent is I_2 and differ in phase by 60^{\circ}. If \frac{I_1}{I_2}=\frac{10}{x} then x=$ _________.

Options:

203

MediumJEE Mains2024

In a single slit diffraction pattern, a light of wavelength 6000$\mathop A\limits^o is used. The distance between the first and third minima in the diffraction pattern is found to be 3 \mathrm{~mm} when the screen in placed 50 \mathrm{~cm} away from slits. The width of the slit is _________ \times 10^{-4} \mathrm{~m}$.

Options:

204

MediumJEE Mains2024

In a double slit experiment shown in figure, when light of wavelength $400 \mathrm{~nm} is used, dark fringe is observed at P. If \mathrm{D}=0.2 \mathrm{~m}, the minimum distance between the slits S_1 and S_2 is _________ \mathrm{mm}$.

Options:

205

EasyJEE Mains2024

A parallel beam of monochromatic light of wavelength 5000 $\mathop A\limits^o is incident normally on a single narrow slit of width 0.001 \mathrm{~mm}$. The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of _________ (degree).

Options:

206

MediumJEE Mains2023

Unpolarised light of intensity 32 Wm$^{-2} passes through the combination of three polaroids such that the pass axis of the last polaroid is perpendicular to that of the pass axis of first polaroid. If intensity of emerging light is 3 Wm^{-2}, then the angle between pass axis of first two polaroids is ______________ ^\circ$.

Options:

207

MediumJEE Mains2023

A beam of light consisting of two wavelengths $7000~\mathop A\limits^o and 5500~\mathop A\limits^o is used to obtain interference pattern in Young's double slit experiment. The distance between the slits is 2.5 \mathrm{~mm} and the distance between the plane of slits and the screen is 150 \mathrm{~cm}. The least distance from the central fringe, where the bright fringes due to both the wavelengths coincide, is n \times 10^{-5} \mathrm{~m}. The value of n$ is __________.

Options:

208

MediumJEE Mains2023

As shown in the figure, in Young's double slit experiment, a thin plate of thickness $t=10 \mu \mathrm{m} and refractive index \mu=1.2 is inserted infront of slit S_{1}. The experiment is conducted in air (\mu=1) and uses a monochromatic light of wavelength \lambda=500 \mathrm{~nm}. Due to the insertion of the plate, central maxima is shifted by a distance of x \beta_{0} . \beta_{0} is the fringe-width befor the insertion of the plate. The value of the x$ is _____________.

Options:

209

MediumJEE Mains2023

Two light waves of wavelengths 800 and 600 \mathrm{~nm} are used in Young's double slit experiment to obtain interference fringes on a screen placed 7 \mathrm{~m} away from plane of slits. If the two slits are separated by 0.35 \mathrm{~mm}, then shortest distance from the central bright maximum to the point where the bright fringes of the two wavelength coincide will be ______ \mathrm{mm}.

Options:

210

MediumJEE Mains2023

In a Young's double slit experiment, the intensities at two points, for the path differences \frac{\lambda}{4} and \frac{\lambda}{3} ( \lambda being the wavelength of light used) are I_{1} and I_{2} respectively. If I_{0} denotes the intensity produced by each one of the individual slits, then \frac{I_{1}+I_{2}}{I_{0}}= __________.

Options:

211

MediumJEE Mains2023

In Young's double slit experiment, two slits $S_{1} and S_{2} are 'd' distance apart and the separation from slits to screen is \mathrm{D} (as shown in figure). Now if two transparent slabs of equal thickness 0.1 \mathrm{~mm} but refractive index 1.51 and 1.55 are introduced in the path of beam (\lambda=4000 \mathop A\limits^o ) from \mathrm{S}_{1} and \mathrm{S}_{2}$ respectively. The central bright fringe spot will shift by ___________ number of fringes.

Options:

212

MediumJEE Mains2023

Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium $-1) and 6.8 (medium -2), respectively. To satisfy the condition, so that the reflected and refracted rays are perpendicular to each other, the angle of incidence should be {\tan ^{ - 1}}{\left( {1 + {{10} \over \theta }} \right)^{{1 \over 2}}} the value of \theta is __________. (Given for dielectric media, \mu_r=1$)

Options:

213

EasyJEE Mains2023

As shown in the figure, three identical polaroids P$_1, P_2 and P_3 are placed one after another. The pass axis of P_2 and P_3 are inclined at angle of 60^\circ and 90^\circ with respect to axis of P_1. The source S has an intensity of 256 \frac{W}{m^2}. The intensity of light at point O is ____________ \frac{W}{m^2}$.

Options:

214

EasyJEE Mains2022

Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point B is $\pi$. The difference of resultant intensities, at the point A and B, will be _________ I.

Options:

215

EasyJEE Mains2022

In a Young's double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes' separation of 7.2 mm. Now another light is used to produce an interference pattern with consecutive bright fringes' separation of 8.1 mm. The wavelength of second light is __________ nm.

Options:

216

EasyJEE Mains2022

Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the two beams are $\pi / 2 and \pi / 3 at points \mathrm{A} and \mathrm{B} respectively. The difference between the resultant intensities at the two points is x I. The value of x$ will be ________.

Options:

217

EasyJEE Mains2022

In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by 5 $\times 10-2 m towards the slits, the change in fringe width is 3 \times 10-$3 cm. If the distance between the slits is 1 mm, then the wavelength of the light will be ____________ nm.

Options:

218

MediumJEE Mains2022

In a Young's double slit experiment, an angular width of the fringe is 0.35$^\circ on a screen placed at 2 m away for particular wavelength of 450 nm. The angular width of the fringe, when whole system is immersed in a medium of refractive index 7/5, is {1 \over \alpha }. The value of \alpha$ is ___________.

Options:

219

MediumJEE Mains2022

In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen at a distance 80 cm from the slits. The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light will be ____________ nm.

Options:

220

MediumJEE Mains2022

Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maxima of diffraction pattern obtained in the two cases is ___________ $\times 10-$5 m.

Options:

221

EasyJEE Mains2021

The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of the light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the interference pattern is x : 4 where x is ____________.

Options:

222

EasyJEE Mains2021

In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4 cm. The frequency of light used is ______________ $\times$ 1014 Hz.

Options:

223

MediumJEE Mains2021

A source of light is placed in front of a screen. Intensity of light on the screen is I. Two Polaroids P1 and P2 are so placed in between the source of light and screen that the intensity of light on screen is I/2. P2 should be rotated by an angle of (degrees) so that the intensity of light on the screen becomes ${{3I} \over 8}$.

Options:

224

EasyJEE Mains2021

White light is passed through a double slit and interference is observed on a screen 1.5 m away. The separation between the slits is 0.3 mm. The first violet and red fringes are formed 2.0 mm and 3.5 mm away from the central white fringes. the difference in wavelengths of red and violet light is ................ nm.

Options:

225

MediumJEE Mains2021

The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is ___________ mm. [Refractive index of air = 1.0003, wavelength of yellow light in vacuum = 6000 $\mathop A\limits^o $]

Options:

226

EasyJEE Mains2021

A galaxy is moving away from the earth at a speed of 286 kms$-1. The shift in the wavelength of a redline at 630 nm is x \times 10-10 m. The value of x, to the nearest integer, is ____________. [Take the value of speed of light c, as 3 \times 108 ms-$1]

Options:

227

EasyJEE Mains2021

A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is 'x' nm. The value of 'x' to the nearest integer is ____________.

Options:

228

EasyJEE Mains2021

An unpolarised light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emerging from the analyzer is measured as 100 Lumens. Now, if the analyzer is rotated around the horizontal axis (direction of light) by 30$^\circ$ in clockwise direction, the intensity of emerging light will be _________ Lumens.

Options:

229

MediumJEE Mains2020

A Young's double-slit experiment is performed using monochromatic light of wavelength $\lambda . The intensity of light at a point on the screen, where the path difference is \lambda , is K units. The intensity of light at a point where the path difference is {\lambda \over 6} is given by {{nK} \over {12}}$, where n is an integer. The value of n is __________.

Options:

230

MediumJEE Mains2020

Orange light of wavelength 6000 $ \times 10–10 m illuminates a single slit of width 0.6 \times $ 10–4 m. The maximum possible number of diffraction minima produced on both sides of the central maximum is ___________.

Options:

231

MediumJEE Mains2020

In a Young's double slit experiment 15 fringes are observed on a small portion of the screen when light of wavelength 500 nm is used. Ten fringes are observed on the same section of the screen when another light source of wavelength $\lambda is used. Then the value of \lambda $ is (in nm) __________.

Options:

232

MediumMHT CET2025

A beam of light of intensity I_0 falls on a system of three polaroids which are arranged in succession such that the pass (transmission) axis is turned through 60^{\circ} with respect to preceding one. The fraction of the incident light intensity that passes through the system is \left(\cos 60^{\circ}=\frac{1}{2}\right)

Options:

A) \frac{1}{8}

B) \frac{1}{32}

C) \frac{1}{16}

D) \frac{1}{2}

233

MediumMHT CET2025

Resolving power of a telescope can be increased by increasing

Options:

A) the diameter of eyepiece.

B) the wavelength of light.

C) the focal length of eye-piece.

D) the diameter of the objective.

234

MediumMHT CET2025

In Young's double slit experiment, the intensity on screen at a point, where path difference is \frac{\lambda}{4} is \frac{K}{4}. The intensity at a point when path difference is ' \lambda ' will be \left[\cos \frac{\pi}{2}=0, \cos 2 \pi=1\right]

Options:

A) 4 K

B) 2 K

C) K

D) \frac{\mathrm{K}}{2}

235

MediumMHT CET2025

Graph shows the variation of fringe width ( X ) versus distance of the screen from the plane of the slits (D) in Young's double slit experiment. (keeping other parameters same, d= distance between the slits). The wavelength of light used can be calculated as

Options:

A) slope \times \mathrm{d}^2

B) \frac{\mathrm{d}}{\text { slope }}

C) \frac{\text { slope }}{\mathrm{d}}

D) slope \times \mathrm{d}

236

MediumMHT CET2025

In Young's double slit experiment, in an interference pattern second minimum is observed exactly in front of one slit. The distance between the two coherent sources is ' d ' and the distance between source and screen is ' D '. The wavelength of light source used is

Options:

A) \frac{d^2}{4 D}

B) \frac{d^2}{3 D}

C) \frac{d^2}{2 D}

D) \frac{d^2}{D}

237

MediumMHT CET2025

The polarising angle of transparent medium is ' \theta '. Let the speed of light in the medium be ' v '. Then the relation between ' \theta ' and ' \mathbf{v} ' is [ \mathrm{c}= velocity of light in air]

Options:

A) \quad \theta=\sin ^{-1}\left(\frac{\mathrm{v}}{\mathrm{c}}\right)

B) \theta=\tan ^{-1}\left(\frac{\mathrm{v}}{\mathrm{c}}\right)

C) \theta=\cot ^{-1}\left(\frac{\mathrm{v}}{\mathrm{c}}\right)

D) \quad \theta=\cos ^{-1}\left(\frac{\mathrm{v}}{\mathrm{c}}\right)

238

MediumMHT CET2025

The ratio of the distance of n^{\text {th }} bright band and \mathrm{m}^{\text {th }} dark band from the central bright band in an interference pattern is

Options:

A) n: m

B) m: n

C) n:\left(m-\frac{1}{2}\right)

D) \left(n-\frac{1}{2}\right): m

239

MediumMHT CET2025

A single slit diffraction pattern is formed with white light. For what wavelength of light the 4^{\text {th }} secondary maximum in diffraction pattern coincides with the 3^{\text {rd }} secondary maximum in the pattern of light of wavelength ' \lambda '?

Options:

A) \frac{5 \lambda}{7}

B) \frac{7 \lambda}{9}

C) \frac{3 \lambda}{4}

D) \frac{9 \lambda}{13}

240

MediumMHT CET2025

In Young's double slit experiment, the distance between the slits is 2 mm and the slits are 1 m away, from the screen. Two interference patterns can be obtained on the screen due to light of wavelength ' \lambda_1 ' and ' \lambda_2 ' respectively. The separation on the screen between the 3^{\text {rd }} order bright fringes on the two interference patterns is ( \lambda_2=1.5 \lambda_1 )

Options:

A) \left(0.75 \times 10^{+3}\right) \lambda_1

B) \left(1.75 \times 10^{+3}\right) \lambda_1

C) \left(2.00 \times 10^{+3}\right) \lambda_1

D) \left(2.25 \times 10^{+3}\right) \lambda_1

241

MediumMHT CET2025

In Young's double slit experiment, at two points P and Q on screen, waves from slits S_1 and S_2 have a path difference of 0 and \frac{\lambda}{4} respectively. The ratio of intensities at point P to that at Q will be \left(\cos 0^{\circ}=1, \cos 45^{\circ}=\frac{1}{\sqrt{2}}\right)

Options:

A) 3: 2

B) 2: 1

C) \sqrt{2}: 1

D) 4: 1

242

MediumMHT CET2025

In a biprism experiment a steady interference pattern is observed on the screen using a light of wavelength 5000 \mathop {\rm{A}}\limits^{\rm{o}}. Without disturbing the set up of the experiment, the source of light is replaced by a source of wavelength 6400 \mathop {\rm{A}}\limits^{\rm{o}}. The fringe width will

Options:

A) decrease by 48 \%

B) decrease by 28 \%

C) increase by 48 \%

D) increase by 28 \%

243

MediumMHT CET2025

In a single slit diffraction experiment, slit of width ' a ' is illuminated by light of wavelength ' \lambda ' and the width of the central maxima in diffraction pattern is measured as ' y '. When half of the slit is covered and illuminated by light of wavelength (1.5) \lambda, the width of the central maximum in diffraction pattern becomes

Options:

A) \frac{3}{2} y

B) \frac{2}{3} y

C) 3 y

D) \frac{\mathrm{y}}{3}

244

MediumMHT CET2025

If the two sources of light emit waves of different amplitudes and interfere then

Options:

A) there is some intensity of light in the region of destructive interference.

B) fringe width is less.

C) brightness of fringes is less.

D) fringes disappear after short time.

245

MediumMHT CET2025

In Fraunhofer diffraction pattern, slit width is 0.3 mm and screen is at 1.5 m away from the lens. If wavelength of light used is 4500 \mathop {\rm{A}}\limits^{\rm{o}}, then the distance between the first minimum on either side of the central maximum is [ \theta is small and measured in radian.]

Options:

A) 1.5 mm

B) 2.25 mm

C) 3.25 mm

D) 4.5 mm

246

MediumMHT CET2025

A single slit diffraction pattern is formed with light of wavelength 6384 \mathop {\rm{A}}\limits^{\rm{o}}. The second secondary maximum for this wavelength coincides with the third secondary maximum in the pattern for light of wavelength ' \lambda_0 '. The value of ' \lambda_0 ' is

Options:

A) 4242 \mathop {\rm{A}}\limits^{\rm{o}}

B) 4560 \mathop {\rm{A}}\limits^{\rm{o}}

C) 5474 \mathop {\rm{A}}\limits^{\rm{o}}

D) 6384 \mathop {\rm{A}}\limits^{\rm{o}}

247

MediumMHT CET2025

In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is \lambda is ' I '. The intensity at a point where the path difference is \lambda / 6 is \left[\cos \frac{\pi}{6}=\frac{\sqrt{3}}{2}\right] [\lambda= wavelength of light ][\cos \pi=-1]

Options:

A) I

B) \frac{3 \mathrm{I}}{4}

C) \frac{1}{2}

D) \frac{\mathrm{I}}{4}

248

MediumMHT CET2025

In Young's double slit experiment, the light of wavelength ' \lambda ' is used. The intensity at a point on the screen is ' T ' where the path difference is \lambda \frac{-}{4}. If ' \mathrm{I}_0 ' denotes the maximum intensity then the ratio of ' \mathrm{I}_0 ' to ' I ' is \left(\cos 45^{\circ}=1 / \sqrt{2}\right)

Options:

A) 2: 1

B) 4: 1

C) 8: 1

D) 12: 1

249

MediumMHT CET2025

In Young's double slit experiment the wavelength of light used is 6000 \mathop {\rm{A}}\limits^{\rm{o}}, the screen is 40 cm from the slits and the fringe width is 0.012 cm , the distance between two slits is

Options:

A) 0.024 cm

B) 2.4 cm

C) 0.24 cm

D) 0.2 cm

250

MediumMHT CET2025

Two polaroids are oriented with their planes perpendicular to incident light and transmission axis making an angle 30^{\circ} with each other. What fraction of incident unpolarised light is transmitted? $ \left(\cos 30^{\circ}=\sqrt{3} / 2\right)

Options:

A) 57.5 \%

B) 17.5 \%

C) 27.5 \%

D) 37.5 \%

251

MediumMHT CET2025

In a single slit diffraction pattern, the distance between the plane of the slit and screen is 1.3 m . The width of the slit is 0.65 mm and the second maximum is formed at the distance of 2.6 mm from the centre of the screen. The wavelength of light used is

Options:

A) 6500 \mathop {\rm{A}}\limits^{\rm{o}}

B) 6000 \mathop {\rm{A}}\limits^{\rm{o}}

C) 5200 \mathop {\rm{A}}\limits^{\rm{o}}

D) 4600\mathop {\rm{A}}\limits^{\rm{o}}

252

MediumMHT CET2025

A ray of light from a monochromatic point source of light is incident at a point on the screen. If a thin mica film of thickness ' t ' and refractive index ' n ' is introduced in its path, then the optical path

Options:

A) is decreased by (\mathrm{n}-1) \mathrm{t}.

B) is increased by (\mathrm{n}+1) \mathrm{t}.

C) is not affected.

D) is increased by (\mathrm{n}-1) \mathrm{t}.

253

MediumMHT CET2025

Two polaroids are placed in the path of unpolarised beam of intensity ' \mathrm{I}_0 ' such that no light is emitted from the second polaroid. If a third polaroid whose polarisation axis makes an angle ' \theta ' with the polarisation axis of first polaroid is placed between these polaroids then the intensity of light emerging from the last polaroid will be

Options:

A) \frac{\mathrm{I}_0}{4}(\sin 2 \theta)^2

B) \frac{\mathrm{I}_0}{8}(\sin 2 \theta)^2

C) \frac{\mathrm{I}_0}{4} \sin ^2 \theta

D) \frac{\mathrm{I}_0}{8} \sin ^2 \theta

254

MediumMHT CET2025

In a Young's double slit experiment wavelength of light used is 6000 \mathop {\rm{A}}\limits^{\rm{o}}. The first order maxima and tenth order maxima fall at 14.50 mm and 16.75 mm from the particular reference point in the interference pattern respectively. If the wavelength is changed to 5500 \mathop {\rm{A}}\limits^{\rm{o}} then the position of zero order and tenth order maxima are respectively [The other arrangements remaining same]

Options:

A) 14.25 \mathrm{~mm}, 16.55 \mathrm{~mm}

B) 12.25 \mathrm{~mm}, 14.55 \mathrm{~mm}

C) 10.25 \mathrm{~mm}, 12.55 \mathrm{~mm}

D) 16.25 \mathrm{~mm}, 18.55 \mathrm{~mm} $\mathop {\rm{A}}\limits^{\rm{o}}

255

MediumMHT CET2025

Assuming human pupil to have radius of 0.25 cm and comfortable viewing distance of 25 cm , the minimum separation between the two objects that human eye can resolve at 500 nm wavelength is nearly

Options:

A) 330 \mu \mathrm{~m}

B) 30 \mu \mathrm{~m}

C) 1 \mu \mathrm{~m}

D) 100 \mu \mathrm{~m}

256

MediumMHT CET2025

In a single slit diffraction pattern, identify the incorrect statement from the following.

Options:

A) The fringes have unequal width.

B) The fringes have unequal intensity.

C) The fringes have unequal width and unequal intensity.

D) The fringes have equal width and equal intensity.

257

MediumMHT CET2025

The two coherent sources produce interference with intensity ratio ' b '. In the interference pattern, the ratio \frac{I_{\text {max }}+I_{\text {min }}}{I_{\text {max }}-I_{\text {min }}} will be

Options:

A) \frac{1+b}{\sqrt{b}}

B) \frac{1+b}{2 \sqrt{b}}

C) \frac{2 \sqrt{b}}{1+b}

D) \frac{2 \sqrt{b}}{(1+b)^2}

258

MediumMHT CET2025

According to Huygen's wave theory of light, which one of the following statements is not correct?

Options:

A) Different colours of light are due to different wavelengths of waves.

B) Different colours of light are due to different sizes of the corpuscles.

C) Speed of light in denser medium is less than that in rarer medium.

D) It can explain laws of reflection and refraction.

259

MediumMHT CET2025

Interference fringes are produced on the screen by using two light sources of intensities I and 9I. The phase difference between the beams is \pi / 2 at point P and \pi at point Q on the screen. The difference between the resultant intensities at points P and Q is \left(\cos 90^{\circ}=0, \cos \pi=-1\right)

Options:

A) 2 I

B) 4 I

C) 6 I

D) 8 I

260

MediumMHT CET2025

In Young's double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The distance between the two coherent sources is d and \mathrm{D}_{\text { }} is the distance between source and screen. The possible wavelengths used are proportional to

Options:

A) \frac{1}{\mathrm{D}}, \frac{1}{5 \mathrm{D}}, \frac{1}{7 \mathrm{D}},

B) \frac{1}{\mathrm{D}}, \frac{1}{3 \mathrm{D}}, \frac{1}{5 \mathrm{D}},

C) \frac{1}{\mathrm{D}}, \frac{1}{2 \mathrm{D}}, \frac{1}{3 \mathrm{D}},

D) \quad \frac{1}{\mathrm{D}^2}, \frac{1}{2 \mathrm{D}^2}, \frac{1}{3 \mathrm{D}^2},

261

MediumMHT CET2025

Three polarised sheets are co-axially placed. Pass axis of polaroids 2 and 3 make 30^{\circ} and 90^{\circ} with pass axis of polaroid sheet. If \mathrm{I}_0 is the intensity of unpolarised light entering sheet 1 , the intensity of the emergent light through sheet 3 is $ \left(\cos 30^{\circ}=\sqrt{3} / 2, \cos 90^{\circ}=0, \cos 60^{\circ}=1 / 2\right)

Options:

A) zero

B) \frac{3 \mathrm{I}_0}{32}

C) \frac{3 \mathrm{I}_0}{8}

D) \frac{3 \mathrm{I}_0}{16}

262

MediumMHT CET2025

Four polaroids are placed such that the optic axis of each is inclined at an angle of 30^{\circ} the optic axis of the preceding one. If unpolarised light of intensity ' \mathrm{I}_0 ' falls on the first polaroid, the intensity of light transmitted from the fourth polaroid is \left[\cos 30^{\circ}=\frac{\sqrt{3}}{2}\right]

Options:

A) \frac{9 \mathrm{I}_0}{32}

B) \frac{27 \mathrm{I}_0}{128}

C) \frac{35 \mathrm{I}_0}{128}

D) \frac{27 \mathrm{I}_0}{32}

263

MediumMHT CET2025

The apparent wavelength of light from a star moving away from the earth is 0.02 \% more than the actual wavelength. The velocity of star is \left[\mathrm{c}=\right. velocity of light \left.=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right]

Options:

A) 30 \mathrm{~km} / \mathrm{s}

B) 60 \mathrm{~km} / \mathrm{s}

C) 90 \mathrm{~km} / \mathrm{s}

D) 120 \mathrm{~km} / \mathrm{s}

264

MediumMHT CET2025

In Young's double slit experiment with monochromatic light of wavelength 600 nm , the distance between the slits is 10^{-3} \mathrm{~m}. For changing the fringe width by 3 \times 10^{-5} \mathrm{~m} a. the screen is moved away from the slit by 5 cm . b. the screen is moved 5 cm towards the slits. c. the screen is moved 3 cm towards the slits. d. the screen is moved away from the slits by 3 cm .

Options:

A) both (c) and (d)

B) both (a) and (b)

C) only (a)

D) only (c)

265

MediumMHT CET2025

A ray of light of intensity ' I ' is incident on a parallel glass slab at a point ' A ' as shown in figure. It undergoes partial reflection and refraction. At each reflection 25 \% of incident energy is reflected. The rays A B and A B undergo interference. The ratio \frac{\mathrm{I}_{\text {max }}}{\mathrm{I}_{\text {min }}} is

Options:

A) 7:1

B) 49: 1

C) 4:1

D) 8: 1

266

MediumMHT CET2025

In Young's double slit experiment, the distance between screen and aperture is 1 m . The slit width is 2 mm . Light of 6000 \mathop {\rm{A}}\limits^{\rm{o}} is used. If a thin glass plate ( \mu=1.5 ) of thickness 0.04 mm is placed over one of the slits, then there will be a lateral displacement of the fringes by

Options:

A) 0.5 cm

B) 1 cm

C) 1.5 cm

D) 2 cm

267

MediumMHT CET2025

In Young's double slit experiment, when light of wavelength 600 nm is used, 18 fringes are observed on the screen. If the wavelength of light is changed to 400 nm , the number of fringes observed on the screen is

Options:

A) 12

B) 27

C) 22

D) 24

268

MediumMHT CET2025

In Young's double slit experiment, for the nth dark fringe ( \mathrm{n}=1,2,3 \ldots ) the phase difference of the interfering waves in radian will be

Options:

A) \mathrm{n} \frac{\pi}{2}

B) \quad(2 n+1) \pi

C) \quad(2 n-1) \pi

D) (2 n-1) \frac{\pi}{2}

269

MediumMHT CET2025

In Young's double slit experiment, the intensity on screen at a point where path difference is \frac{\lambda}{4} is \frac{K}{2}. The intensity at a point when path difference is ' \lambda ' will be

Options:

A) 4 K

B) 2 K

C) K

D) \frac{\mathrm{K}}{4}

270

MediumMHT CET2025

In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2 m away from the lens. If the distance between the first minimum on either side of the central maximum is 1 cm , the wavelength of light used is

Options:

A) 2000 \mathop {\rm{A}}\limits^{\rm{^\circ }}

B) 4000 \mathop {\rm{A}}\limits^ \circ

C) 5000 \mathop {\rm{A}}\limits^ \circ

D) 10000 \mathop {\rm{A}}\limits^ \circ

271

MediumMHT CET2025

In Young's double slit experiment let 'd' be the distance between two slits and 'D' be the distance between the slits and the screen. Using a monochromatic source of wavelength ' \lambda ', in an interference pattern, third minimum is observed exactly in front of one of the slits. If at the same point on the screen first minimum is to be obtained, the required change in the wavelength is [ \mathrm{d} \& \mathrm{D} are not changed].

Options:

A) 2 \lambda

B) 3 \lambda

C) 4 \lambda

D) 5 \lambda

272

MediumMHT CET2025

In Young's double slit interference experiment, using two coherent sources of different amplitudes, the intensity ratio between bright to dark fringes is 5: 1. The value of the ratio of resultant amplitudes of bright fringe to dark fringe is

Options:

A) \left(\frac{\sqrt{5}+1}{\sqrt{5}-1}\right)

B) \sqrt{5}: 1

C) \left(\frac{\sqrt{5}-1}{\sqrt{5}+1}\right)

D) 1: \sqrt{5}

273

MediumMHT CET2025

In a Fraunhoffer diffraction, light of wavelength ' \lambda ' is incident on slit of width ' d '. The diffraction pattern is observed on a screen placed at a distance ' D '. The linear width of central maximum is equal to two times the width of the slit, then 'D' has value

Options:

A) \frac{\mathrm{d}^2}{\lambda}

B) \frac{\mathrm{d}^2}{2 \lambda}

C) \frac{\mathrm{d}^2}{3 \lambda}

D) \frac{\mathrm{d}^2}{4 \lambda}

274

MediumMHT CET2025

Three identical polaroids P_1, P_2 and P_3 are placed one after another. The pass axis of P_2 and \mathrm{P}_3 are inclined at an angle of 60^{\circ} and 90^{\circ} with respect to axis of \mathrm{P}_1. The source has an intensity 256 \mathrm{~W} / \mathrm{m}^2. The intensity of light at point ' O ' is \left(\cos 30^{\circ}=\sqrt{3} / 2, \cos 60^{\circ}=0.5\right)

Options:

A) 24 \mathrm{~W} / \mathrm{m}^2

B) 20 \mathrm{~W} / \mathrm{m}^2

C) 16 \mathrm{~W} / \mathrm{m}^2

D) 8 \mathrm{~W} / \mathrm{m}^2

275

MediumMHT CET2024

In a single slit diffraction experiment, for a wavelength of light ' \lambda ', half-angular width of the principle maxima is ' \theta '. Also for wavelength of light \mathrm{p} \lambda, the half angular width of the principle maxima is q \theta. The ratio of the halfangular widths of the first secondary maxima in the first case to second case will be

Options:

A) \mathrm{p}: 1

B) \mathrm{q}: 1

C) \mathrm{p}: \mathrm{q}

D) \mathrm{q: p}

276

MediumMHT CET2024

In a double slit experiment, the distance between slits is increased 10 times, whereas their distance from screen is halved, the fringe width

Options:

A) remain the same.

B) becomes \frac{1}{10} times.

C) becomes \frac{1}{20} times.

D) becomes \frac{1}{90} times.

277

MediumMHT CET2024

The angular separation of the central maximum in the Fraunhofer diffraction pattern is measured. The slit is illuminated by the light of wavelength 6000 \mathop A\limits^o. If the slit is illuminated by light of another wavelength, the angular separation decreases by 20 \%. The wavelength of light used is

Options:

A) 6400 \mathop A\limits^o

B) 5600 \mathop A\limits^o

C) 4800 \mathop A\limits^o

D) 4400 \mathop A\limits^o

278

MediumMHT CET2024

In Young's double slit experiment, intensity at a point is \left(\frac{1}{4}\right) of the maximum intensity. The angular position of this point is

Options:

A) \sin ^{-1}\left(\frac{\lambda}{D}\right)

B) \sin ^{-1}\left(\frac{\lambda}{2 d}\right)

C) \sin ^{-1}\left(\frac{\lambda}{3 \mathrm{~d}}\right)

D) \sin ^{-1}\left(\frac{\lambda}{4 d}\right)

279

MediumMHT CET2024

Two sound waves each of wavelength ' \lambda ' and having the same amplitude ' A ' from two source ' \mathrm{S}_1 ' and ' \mathrm{S}_2 ' interfere at a point P . If the path difference, \mathrm{S}_2 \mathrm{P}-\mathrm{S}_1 \mathrm{P}=\lambda / 3 then the amplitude of resultant wave at point ' P ' will be \left[\cos \left(120^{\circ}\right)=-0.5\right]

Options:

A) \mathrm{A}

B) \mathrm{2 A}

C) \frac{\mathrm{A}}{2}

D) \frac{3 \mathrm{A}}{2}

280

MediumMHT CET2024

Sodium light \left(\lambda=6 \times 10^{-7} \mathrm{~m}\right) is used to produce interference pattern. The observed fringe width is 0.12 mm . The angle between the two wave trains is

Options:

A) 5 \times 10^{-1} \mathrm{rad}

B) 5 \times 10^{-3} \mathrm{rad}

C) 1 \times 10^{-2} \mathrm{rad}

D) 1 \times 10^{-3} \mathrm{rad}

281

MediumMHT CET2024

A plate of refractive index 1.6 is introduced in the path of light from one of the slits in Young's double slit experiment then

Options:

A) the fringe width towards the side of the plate will decrease.

B) the central maximum will shift towards this side

C) number of fringes seen will decrease.

D) interference pattern will disappear.

282

MediumMHT CET2024

In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is \lambda is x units, \lambda being the wavelength of light used. The intensity at a point where the path difference is \frac{\lambda}{4} will be \left(\cos 2 \pi=1, \cos \frac{\pi}{2}=0\right)

Options:

A) \frac{x}{4}

B) \frac{x}{2}

C) x

D) zero

283

MediumMHT CET2024

In double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other. Then in interference pattern

Options:

A) the intensity of the maxima decreases and the minima has zero intensity.

B) the intensity of maxima decreases and that of the minima increases.

C) the intensity of the maxima increases and the minima has zero intensity.

D) the intensities of both the maxima and the minima increase.

284

MediumMHT CET2024

In biprism experiment, the fringe width is 0.6 mm . The distance between 6^{\text {th }} dark fringe and 8^{\text {th }} bright fringe on the same side of central bright fringe is

Options:

A) 6 mm

B) 4 mm

C) 1.5 mm

D) 0.9 mm

285

MediumMHT CET2024

In Young's double slit experiment, 'I' is the minimum intensity and ' I_1 ' is the intensity at a point where the path difference is \frac{\lambda}{4} where ' \lambda ' is the wavelength of light used. The ratio I_1 \mathrm{I}_1 is (Intensities of the two interfering waves are same) \left(\cos 0^{\circ}=1, \cos 90^{\circ}=0\right)

Options:

A) 0

B) 4

C) 3

D) 2

286

MediumMHT CET2024

Considering interference between two sources of intensities ' I ' and ' 4 I ', the intensity at a point where the phase difference is \pi is (\cos \pi=-1)

Options:

A) I

B) 4I

C) 5I

D) 3I

287

MediumMHT CET2024

The phase difference between two waves giving rise to dark fringe in Young's double slit experiment is ( n is the integer)

Options:

A) zero

B) (4 \mathrm{n}+1) \frac{\pi}{2}

C) (2 n-1) \pi

D) (2 n+1) \frac{\pi}{2}

288

MediumMHT CET2024

How is the interference pattern affected when violet light replaces sodium light?

Options:

A) The fringes become brighter.

B) The fringes become faint.

C) Fringewidth decreases.

D) Fringewidth increases.

289

MediumMHT CET2024

In Fraunhofer diffraction pattern, slitwidth is 0.5 mm and screen is at 2 m away from the lens. If wavelength of light used is 5500\mathop A\limits^o, then the distance between the first minimum on either side of the central maximum is ( \theta is small and measured in radian)

Options:

A) 1.1 mm

B) 2.2 mm

C) 4.4 mm

D) 5.5 mm

290

MediumMHT CET2024

Two identical light waves having phase difference \phi propagate in same direction. When they superpose, the intensity of resultant wave is proportional to

Options:

A) \cos ^2\left(\frac{\phi}{4}\right)

B) \cos ^2\left(\frac{\phi}{3}\right)

C) \cos ^2\left(\frac{\phi}{2}\right)

D) \cos ^2 \phi

291

MediumMHT CET2024

In Young's double slit experiment, the distance between the two coherent sources is ' d ' and the distance between the source and screen is ' D '. When the wavelength (\lambda) of light source used is \frac{d^2}{3 D}, then n^{\text {th }} dark fringe is observed on the screen, exactly in front of one of the slits. The value of ' n ' is

Options:

A) 1

B) 2

C) 3

D) 4

292

MediumMHT CET2024

Two light rays having the same wavelength ' \lambda ' in vacuum are in phase initially. Then, the first ray travels a path ' \mathrm{L}_1 ' through a medium of refractive index ' \mu_1 ' while the second ray travels a path of length ' L_2 ' through a medium of refractive index ' \mu_2 '. The two waves are then combined to observe interference. The phase difference between the two waves is

Options:

A) \frac{2 \pi}{\lambda}\left(\mu_1 L_1-\mu_2 L_2\right)

B) \frac{2 \pi}{\lambda}\left(L_2-L_1\right)

C) \frac{2 \pi}{\lambda}\left(\frac{\mathrm{~L}_1}{\mu_1}-\frac{\mathrm{L}_2}{\mu_2}\right)

D) \frac{2 \pi}{\lambda}\left(\mu_2 \mathrm{~L}_1-\mu_1 \mathrm{~L}_2\right)

293

MediumMHT CET2024

In Young's double slit experiment, the slits are separated by 0.6 mm and screen is placed at a distance of 1.2 m from slit. It is observed that the tenth bright fringe is at a distance of 8.85 mm from the third dark fringe on the same side. The wavelength of light used is

Options:

A) 5440 $\mathop A\limits^o

B) 5890 $\mathop A\limits^o

C) 5900 $\mathop A\limits^o

D) 6630 $\mathop A\limits^o

294

MediumMHT CET2024

In a diffraction pattern due to single slit of width ' a ', the first minimum is observed at an angle 30^{\circ} when light of wavelength 5000 \mathop A\limits^o is incident on the slit. The first secondary maximum is observed at an angle \left[\sin 30=\frac{1}{2}\right]

Options:

A) \sin ^{-1}\left(\frac{1}{2}\right)

B) \sin ^{-1}\left(\frac{3}{4}\right)

C) \sin ^{-1}\left(\frac{1}{4}\right)

D) \sin ^{-1}\left(\frac{3}{5}\right)

295

MediumMHT CET2024

In biprism experiment, if 5^{\text {th }} bright band with wavelength \lambda_1 coincides with 6^{\text {th }} dark band with wavelength \lambda_2 then the ratio \left(\lambda_1 / \lambda_2\right) is

Options:

A) \frac{7}{9}

B) \frac{10}{11}

C) \frac{11}{10}

D) \frac{9}{7}

296

MediumMHT CET2024

In young's double slit experiment, the \mathrm{n}^{\text {th }} maximum of wavelength \lambda_1 is at a distance of y_1 from the central maximum. When the wavelength of the source is changed to \lambda_2,\left(\frac{\mathrm{n}}{3}\right)^{\text {th }} maximum is at a distance of y_2 from its central maximum. The ratio \frac{y_1}{y_2} is

Options:

A) \frac{3 \lambda_1}{\lambda_2}

B) \frac{3 \lambda_2}{\lambda_1}

C) \frac{\lambda_1}{3 \lambda_2}

D) \frac{\lambda_2}{3 \lambda_1}

297

MediumMHT CET2024

In the Young's double slit experiment, the intensity at a point on the screen, where the path difference is \lambda(\lambda= wavelength ) is \beta. The intensity at a point where the path difference is \lambda / 3, will be \left.\cos \frac{\pi}{3}=1 / 2\right]

Options:

A) \beta

B) \beta / 2

C) \frac{\beta}{4}

D) \beta / 8

298

MediumMHT CET2024

The fringe width in an interference pattern is ' X '. The distance between the sixth dark fringe from one side of central bright band to the fourth bright fringe on other side is

Options:

A) 1.5 X

B) 2 X

C) 5.5 X

D) 9.5 X

299

MediumMHT CET2024

In Young's double slit experiment using monochromatic light of wavelength ' \lambda ', the maximum intensity of light at a point on the screen is ' K ' units. The intensity of light at a point where the path difference is \frac{\lambda}{6} ' is \left(\cos 60^{\circ}=\sin 30^{\circ}=0.5, \sin 60^{\circ}=\cos 30^{\circ}=\sqrt{3} / 2\right)

Options:

A) \frac{3 \mathrm{~K}}{4}

B) \frac{\mathrm{K}}{4}

C) \frac{\mathrm{K}}{2}

D) \mathrm{K}

300

MediumMHT CET2024

A wavefront is a surface

Options:

A) perpendicular to the direction of propagation of light.

B) parallel to the direction of propagation of light.

C) without any specific orientation with direction of propagation of light.

D) which has nothing to do with intensity of light.

301

MediumMHT CET2024

Two wavelength 590 nm and 596 nm of sodium light are used one after other, to study the diffraction taking place at a single slit of aperture 2.4 mm . The distance between the slit and screen is 2 m . The separation between the positions of first secondary maximum of the diffraction pattern obtained in the two cases is

Options:

A) 7.5 \times 10^{-6} \mathrm{~m}

B) 7.5 \times 10^{-9} \mathrm{~m}

C) 2.5 \times 10^{-6} \mathrm{~m}

D) 5.0 \times 10^{-6} \mathrm{~m}

302

MediumMHT CET2024

A parallel beam of light of intensity I_0 is incident on a glass plate, 25 \% of light is reflected by upper surface and 50 \% of light is reflected from lower surface. The ratio of maximum to minimum intensity in interference region of reflected rays is

Options:

A) \left[\frac{\frac{1}{2}+\sqrt{\frac{3}{8}}}{\frac{1}{2}-\sqrt{\frac{3}{8}}}\right]^2

B) \left[\frac{\frac{1}{4}+\sqrt{\frac{3}{8}}}{\frac{1}{2}-\sqrt{\frac{3}{8}}}\right]^2

C) \frac{5}{8}

D) \frac{8}{5}

303

MediumMHT CET2024

A single slit of width d is illuminated by violet light of wavelength 400 nm and the width of the diffraction pattern is measured as ' Y '. When half of the slit width is covered and illuminated by yellow light of wavelength 600 nm , the width of the diffraction pattern is

Options:

A) zero

B) \frac{Y}{3}

C) 3 Y

D) 4 Y

304

MediumMHT CET2024

In a biprism experiment, monochromatic light of wavelength ' \gamma ' is used. The distance between the two coherent sources ' d ' is kept constant. If the distance between slit and eyepiece ' D ' is varied as D_1, D_2, D_3, D_4 and corresponding measured fringe widths are \mathrm{W}_1, \mathrm{~W}_2, \mathrm{~W}_3, \mathrm{~W}_4 then

Options:

A) \mathrm{W}_1 \mathrm{D}_1=\mathrm{W}_2 \mathrm{D}_2=\mathrm{W}_3 \mathrm{D}_3=\mathrm{W}_4 \mathrm{D}_4

B) \frac{\mathrm{W}_1}{\mathrm{D}_1}=\frac{\mathrm{W}_2}{\mathrm{D}_2}=\frac{\mathrm{W}_3}{\mathrm{D}_3}=\frac{\mathrm{W}_4}{\mathrm{D}_4}

C) \mathrm{W}_1 \sqrt{\mathrm{D}_1}=\mathrm{W}_2 \sqrt{\mathrm{D}_2}=\mathrm{W}_3 \sqrt{\mathrm{D}_3}=\mathrm{W}_3 \sqrt{\mathrm{D}_3}

D) \mathrm{D}_1 \sqrt{\mathrm{~W}_1}=\mathrm{D}_2 \sqrt{\mathrm{~W}_2}=\mathrm{D}_3 \sqrt{\mathrm{~W}_3}=\mathrm{D}_4 \sqrt{\mathrm{~W}_4}

305

MediumMHT CET2024

Three identical polaroids P_1, P_2 and P_3 are placed one after another. The pass axis of P_2 and P_3 are inclined at an angle 60^{\circ} and 90^{\circ} with respect to axis of P_1. The source has an intensity I_0. The intensity of transmitted light through P_3 is \left(\cos 60^{\circ}=0.5, \cos 30^{\circ}=\frac{\sqrt{3}}{2}\right)

Options:

A) \frac{\mathrm{I}_0}{8}

B) \frac{3 \mathrm{I}_0}{16}

C) \frac{3 \mathrm{I}_0}{32}

D) \frac{\mathrm{I}_0}{32}

306

MediumMHT CET2024

In Young's double slit experiment, in an interference pattern, second minimum is observed exactly in front of one slit. The distance between the two coherent sources is ' d ' and the distance between the source and screen is ' D '. The wave length of light (\lambda) used is

Options:

A) \frac{\mathrm{d}^2}{\mathrm{D}}

B) \frac{\mathrm{d}^2}{2 \mathrm{D}}

C) \frac{\mathrm{d}^2}{3 \mathrm{D}}

D) \frac{d^2}{4 D}

307

MediumMHT CET2024

A screen is placed at 50 cm from a single slit, which is illuminated with light of wavelength 600 nm . If separation between the 1^{\text {st }} and 3^{\text {rd }} minima in the diffraction pattern is 3 mm then slit width is

Options:

A) 0.2 mm

B) 0.02 mm

C) 2 mm

D) 20 mm

308

MediumMHT CET2024

In Young's double slit experiment using monochromatic light of wavelength ' \lambda ', the intensity of light at a point on the screen where path difference ' \lambda ' is K units. The intensity of light at a point where the path difference is \frac{\lambda}{6} is \left[\cos \frac{\pi}{6}=\sin \frac{\pi}{3}=\frac{\sqrt{3}}{2}\right]

Options:

A) K

B) \frac{3 \mathrm{~K}}{4}

C) \frac{\mathrm{K}}{2}

D) \frac{\mathrm{K}}{4}

309

MediumMHT CET2024

In an interference experiment, the \mathrm{n}^{\text {th }} bright fringe for light of wavelength \lambda_1(\mathrm{n}=0,1,2,3 \ldots) coincides with the \mathrm{m}^{\text {th }} dark fringe for light of wavelength \lambda_2(\mathrm{~m}=1,2,3 \ldots). The ratio \frac{\lambda_1}{\lambda_2} is

Options:

A) \frac{\mathrm{m}-1}{\mathrm{n}}

B) \frac{2 \mathrm{~m}-1}{\mathrm{n}}

C) \frac{2 m-1}{2 n}

D) \frac{2 \mathrm{~m}+1}{2 \mathrm{n}}

310

MediumMHT CET2024

A single slit diffraction pattern is formed with light of wavelength 6195 \mathop A\limits^o. The second secondary maximum for this wavelength coincides with the third secondary maximum in the pattern for light of wavelength ' \lambda_0 '. The value of ' \lambda_0 ' is

Options:

A) 4180 \mathop A\limits^o

B) 4425 \mathop A\limits^o

C) 5330 \mathop A\limits^o

D) 6235 \mathop A\limits^o

311

MediumMHT CET2024

When wavefronts pass from denser medium to rarer medium, the width of the wavefront

Options:

A) increases.

B) may increase or decrease.

C) decreases.

D) remains unchanged.

312

MediumMHT CET2024

A diffraction pattern is obtained using a beam of red light. If red light is replaced by blue light then

Options:

A) no change in diffraction pattern.

B) diffraction bands become narrow and crowded together.

C) diffraction bands become broader and farther apart.

D) bands disappear.

313

MediumMHT CET2024

The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is 9: 1. The intensities of the light sources used are in the ratio

Options:

A) 3: 1

B) 4: 1

C) 9: 1

D) 10: 1

314

MediumMHT CET2024

Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength 6000 \mathop A\limits^o is used. If the light of wavelength 4800 \mathop A\limits^o is used, the limit of resolution will become

Options:

A) 0.8 mm

B) 0.12 mm

C) 0.10 mm

D) 0.08 mm

315

MediumMHT CET2024

The intensity of light coming from one of the slits in Young's double slit experiment is double the intensity from the other slit. The ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed is

Options:

A) 9: 1

B) 34: 1

C) 4: 1

D) 16: 1

316

MediumMHT CET2024

In a Young's double slit experiment, the source is white light. One of the holes is covered by a red filter and another by a blue filter. In this case

Options:

A) there shall be alternative interference fringes of red and blue.

B) there shall be interference fringes for red distinct from that for blue.

C) there shall be no interference fringes.

D) there shall be interference fringes for red mixing with one for blue.

317

MediumMHT CET2023

On replacing a thin film of mica of thickness $12 \times 10^{-5} \mathrm{~cm} in the path of one of the interfering beams in Young's double slit experiment using monochromatic light, the fringe pattern shifts through a distance equal to the width of bright fringe. If \lambda=6 \times 10^{-5} \mathrm{~cm}$, the refractive index of mica is

Options:

A) 1.1

B) 1.3

C) 1.5

D) 1.4

318

MediumMHT CET2023

When two light waves each of amplitude '$A' and having a phase difference of \frac{\pi}{2}$ superimposed then the amplitude of resultant wave is

Options:

A) \frac{\mathrm{A}}{\sqrt{2}}

B) 2 \mathrm{~A}

C) \sqrt{2} \mathrm{~A}

D) \frac{\mathrm{A}}{2}

319

MediumMHT CET2023

Two wavelengths of sodium light $590 \mathrm{~nm} and 596 \mathrm{~nm} are used one after another to study diffraction due to single slit of aperture 2 \times 10^{-6} \mathrm{~m}. The distance between the slit and the screen is 1.5 \mathrm{~m}$. The separation between the positions of first maximum of the diffraction pattern obtained in the two cases is

Options:

A) 5.5 mm

B) 5.75 mm

C) 6.25 mm

D) 6.75 mm

320

MediumMHT CET2023

The diffraction fringes obtained by a single slit are of

Options:

A) equal width

B) equal width and unequal intensity

C) unequal width but equal intensity

D) unequal width and unequal intensity

321

MediumMHT CET2023

In Young's double slit experiment, $8^{\text {th }} maximum with wavelength '\lambda_1' is at a distance 'd_1' from the central maximum and 6^{\text {th }} maximum with wavelength '\lambda_2' is at a distance '\mathrm{d}_2'. Then \frac{\mathrm{d}_2}{\mathrm{~d}_1}$ is

Options:

A) \frac{3 \lambda_1}{4 \lambda_2}

B) \frac{3 \lambda_2}{4 \lambda_1}

C) \frac{4 \lambda_1}{3 \lambda_2}

D) \frac{4 \lambda_2}{3 \lambda_1}

322

MediumMHT CET2023

If $\mathrm{I}_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be the intensity when the slit width is doubled?

Options:

A) \frac{\mathrm{I}_0}{2}

B) \mathrm{I}_0

C) 4 \mathrm{I}_0

D) 2 \mathrm{I}_0

323

MediumMHT CET2023

Light of wavelength $5000 \mathop A\limits^o is incident normally on a slit. The first minimum of the diffraction pattern is observed to lie at a distance of 5 \mathrm{~mm} from the central maximum on a screen placed at a distance of 2 \mathrm{~m}$ from the slit. The width of the slit is

Options:

A) 2 cm

B) 0.2 cm

C) 0.02 cm

D) 0.01 cm

324

MediumMHT CET2023

The path difference between two identical light waves at a point $Q on the screen is 3 \mu \mathrm{m}. If wavelength of the waves is 5000 \mathop A\limits^o, then at point Q$ there is

Options:

A) 3rd dark band

B) 4th bright band

C) 5th dark band

D) 6 th bright band

325

MediumMHT CET2023

Of the two slits producing interference in Young's experiment, one is covered with glass so that light intensity passing is reduced to $50 \%$. Which of the following is correct?

Options:

A) Intensity of fringes remains unaltered.

B) Intensity of bright fringe decreases and that of dark fringe increases.

C) Intensity of bright fringe increases and that of dark fringe decreases.

D) Intensity of both bright and dark fringes decreases.

326

MediumMHT CET2023

In a biprism experiment, monochromatic light of wavelength '$\lambda' is used. The distance between two coherent sources '\mathrm{d}' is kept constant. If the distance between slit and eyepiece '\mathrm{D}' is varied as D_1, D_2, D_3 \& D_4 and corresponding measured fringe widths are Z_1, Z_2, Z_3 and Z_4$ then

Options:

A) \mathrm{Z}_1 \mathrm{D}_1=\mathrm{Z}_2 \mathrm{D}_2=\mathrm{Z}_3 \mathrm{D}_3=\mathrm{Z}_4 \mathrm{D}_4

B) \frac{Z_1}{D_1}=\frac{Z_2}{D_2}=\frac{Z_3}{D_3}=\frac{Z_4}{D_4}

C) \mathrm{D}_1 \sqrt{\mathrm{Z}_1}=\mathrm{D}_2 \sqrt{\mathrm{Z}_2}=\mathrm{D}_3 \sqrt{\mathrm{Z}_3}=\mathrm{D}_4 \sqrt{\mathrm{Z}_4}

D) Z_1 \sqrt{D_1}=Z_2 \sqrt{D_2}=Z_3 \sqrt{D_3}=Z_4 \sqrt{D_4}

327

MediumMHT CET2023

\mathrm{A} and \mathrm{B} are two interfering sources where \mathrm{A} is ahead in phase by 54^{\circ} relative to B. The observation is taken from point \mathrm{P} such that PB - PA = 2.5 \lambda$. Then the phase difference between the waves from A and B reaching point P is (in rad)

Options:

A) 3.5 \pi

B) 5.3 \pi

C) 4.3 \pi

D) 5.8 \pi

328

MediumMHT CET2023

The ratio of intensities of two points on a screen in Young's double slit experiment when waves from the two slits have a path difference of $\frac{\lambda}{4} and \frac{\lambda}{6} is \left(\cos 90^{\circ}=0, \cos 60^{\circ}=0.5\right)

Options:

A) 2: 1

B) 2: 3

C) 3: 4

D) 3: 5

329

MediumMHT CET2023

In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the interfering beams, the fringes are displaced by a distance '$y$'. If this plate is replaced by another plate of same thickness but of refractive index 1.66, the fringes will be displaced by a distance

Options:

A) \frac{3 y}{2}

B) \frac{2 y}{3}

C) \frac{5 y}{4}

D) \frac{4 y}{5}

330

MediumMHT CET2023

One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness $2.9 \times 10^{-3} \mathrm{~cm}. The central fringe shifts to a position originally occupied by the 25^{\text {th }} bright fringe. If \lambda=5800 \mathop A\limits^o $, the refractive index of the sheet is

Options:

A) 1.65

B) 1.60

C) 1.55

D) 1.50

331

MediumMHT CET2023

In Young's double slit experiment the intensities at two points, for the path difference $\frac{\lambda}{4} and \frac{\lambda}{3} (\lambda= wavelength of light used) are I_1 and I_2 respectively. If \mathrm{I}_0 denotes the intensity produced by each one of the individual slits then \frac{\mathrm{I}_1+\mathrm{I}_2}{\mathrm{I}_0} is equal to \left(\cos 60^{\circ}=0.5, \cos 45^{\circ}=\frac{1}{\sqrt{2}}\right)

Options:

A) 1

B) 2

C) 3

D) 4

332

MediumMHT CET2023

In two separate setups for Biprism experiment using same wavelength, fringes of equal width are obtained. If ratio of slit separation is $2: 3$ then the ratio of the distance between the slit and screen in the two setups is

Options:

A) 2: 3

B) 1: 2

C) 4: 9

D) 9: 4

333

MediumMHT CET2023

A beam of light is incident on a glass plate at an angle of $60^{\circ}. The reflected ray is polarized. If angle of incidence is 45^{\circ}$ then angle of refraction is

Options:

A) \sin ^{-1}\left(\frac{1}{\sqrt{6}}\right)

B) \sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)

C) \sin ^{-1}\left(\sqrt{\frac{3}{2}}\right)

D) \cos ^{-1}\left(\sqrt{\frac{3}{2}}\right)

334

MediumMHT CET2023

A beam of light of wavelength $600 \mathrm{~nm} from a distant source falls on a single slit 1 \mathrm{~mm} wide and the resulting diffraction pattern is observed on a screen 2 \mathrm{~m}$ away. The distance between the first dark fringe on either side of the central bright fringe is

Options:

A) 1.2 mm

B) 2.4 mm

C) 1.2 cm

D) 2.4 cm

335

MediumMHT CET2023

In Young's double slit experiment, the fifth maximum with wavelength '$\lambda_1' is at a distance 'y_1' and the same maximum with wavelength '\lambda_2' is at a distance 'y_2' measured from the central bright band. Then \frac{y_1}{y_2} is equal to [D and d$ are constant]

Options:

A) \frac{\lambda_1}{\lambda_2}

B) \frac{\lambda_2}{\lambda_1}

C) \frac{\lambda_1^2}{\lambda_2^2}

D) \frac{\lambda_2^2}{\lambda_1^2}

336

MediumMHT CET2023

In Young's double slit experiment, green light is incident on two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the observed fringes to be more closely spaced?

Options:

A) Reducing the separation between the slits

B) Using blue light instead of green light

C) Using red light instead of green light

D) Moving the screen away from the slits

337

MediumMHT CET2023

A double slit experiment is immersed in water of refractive index 1.33. The slit separation is $1 \mathrm{~mm}, distance between slit and screen is 1.33 \mathrm{~m} The slits are illuminated by a light of wavelength 6300 \mathop A\limits^o$. The fringe width is

Options:

A) 4.9 \times 10^{-4} \mathrm{~m}

B) 5.8 \times 10^{-4} \mathrm{~m}

C) 6.3 \times 10^{-4} \mathrm{~m}

D) 8.6 \times 10^{-4} \mathrm{~m}

338

MediumMHT CET2023

In the experiment of diffraction due to a single slit, if the slit width is decreased, the width of the central maximum

Options:

A) becomes zero.

B) does not change.

C) increases.

D) decreases.

339

MediumMHT CET2023

In biprism experiment, if $5^{\text {th }} bright band with wavelength \lambda_1^{\prime} coincides with 6^{\text {th }} dark band with wavelength \lambda_2{ }^{\prime} then the ratio \left(\frac{\lambda_2}{\lambda_1}\right)$ is

Options:

A) \frac{9}{7}

B) \frac{7}{9}

C) \frac{10}{11}

D) \frac{11}{10}

340

MediumMHT CET2023

In Young's double slit experiment, the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance 'D' from the slits. A dark fringe is observed on a screen directly opposite to one of the slits. The wavelength of light is

Options:

A) \frac{\mathrm{D}^2}{2 \mathrm{~d}}

B) \frac{\mathrm{d}^2}{2 \mathrm{D}}

C) \frac{\mathrm{D}^2}{\mathrm{~d}}

D) \frac{d^2}{D}

341

MediumMHT CET2023

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

Options:

A) increases with increase of slit width.

B) decreases with increase of slit width.

C) decreases with decrease of slit width.

D) may increase or decrease with decrease of slit width.

342

MediumMHT CET2023

Light waves from two coherent sources arrive at two points on a screen with path difference of zero and $\frac{\lambda^{\prime}}{2}. The ratio of intensities at the points is \left(\cos 0^{\circ}=1, \cos \pi=-1\right)

Options:

A) 2: 1

B) 1: 1

C) 1: 2

D) \infty: 1

343

MediumMHT CET2023

A person is observing a bacteria through a compound microscope. For better observation and to improve its resolving power he should

Options:

A) increase the wavelength of light.

B) increase the refractive index of the medium between the object and objective lens.

C) decrease the focal length of the eyepiece.

D) decrease the diameter of the objective lens.

344

MediumMHT CET2023

In Young's double slit experiment the separation between the slits is doubled without changing other setting of the experiment to obtain same fringe width, the distance 'D' of the screen from slit should be made

Options:

A) \frac{\mathrm{D}}{2}

B) \frac{\mathrm{D}}{\sqrt{2}}

C) 2 \mathrm{D}

D) 4 \mathrm{D}

345

MediumMHT CET2023

Two sources of light $0.6 \mathrm{~mm} apart and screen is placed at a distance of 1.2 \mathrm{~m} from them. A light of wavelength 6000\,\mathop A\limits^o used. Then the phase difference between the two light waves interfering on the screen at a point at a distance 3 \mathrm{~mm}$ from central bright band is

Options:

A) 6 \pi$ radian

B) 3 \pi$ radian

C) 4 \pi$ radian

D) 5 \pi$ radian

346

MediumMHT CET2023

Light of wavelength ',$\lambda' is incident on a slit of width '\mathrm{d}'. The resulting diffraction pattern is observed on a screen at a distance 'D'. The linear width of the principal maximum is then equal to the width of the slit if D$ equals

Options:

A) \frac{d}{\lambda}

B) \frac{\mathrm{d}^2}{2 \lambda}

C) \frac{2 \lambda}{\mathrm{d}}

D) \frac{2 \lambda^2}{d}

347

MediumMHT CET2023

In Young's double slit experiment, the wavelength of light used is '$\lambda'. The intensity at a point is '\mathrm{I}' where path difference is \left(\frac{\lambda}{4}\right). If I_0 denotes the maximum intensity, then the ratio \left(\frac{\mathrm{I}}{\mathrm{I}_0}\right) is \left(\sin \frac{\pi}{4}=\cos \frac{\pi}{4}=\frac{1}{\sqrt{2}}\right)

Options:

A) \frac{1}{\sqrt{2}}

B) \frac{1}{2}

C) \frac{3}{4}

D) \frac{\sqrt{3}}{2}

348

MediumMHT CET2023

In Young's double slit experiment, the fringe width is $2 \mathrm{~mm}. The separation between the 13^{\text {th }} bright fringe and the 4^{\text {th }}$ dark fringe from the centre of the screen on same side will be

Options:

A) 13 \mathrm{~mm}$.

B) 17 \mathrm{~mm}$.

C) 19 \mathrm{~mm}$.

D) 23 \mathrm{~mm}$.

349

MediumMHT CET2023

A beam of unpolarized light passes through a tourmaline crystal A and then it passes through a second tourmaline crystal B oriented so that its principal plane is parallel to that of A. The intensity of emergent light is $I_0. Now B is rotated by 45^{\circ} about the ray. The emergent light will have intensity \left(\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right)

Options:

A) \frac{\mathrm{I}_0}{2}

B) \frac{\mathrm{I}_0}{\sqrt{2}}

C) \frac{\sqrt{2}}{\mathrm{I}_0}

D) \frac{2}{\mathrm{I}_0}

350

MediumMHT CET2023

In a diffraction pattern due to single slit of width '$a', the first minimum is observed at an angle of 30^{\circ} when the light of wavelength 5400 \mathop A\limits^o is incident on the slit. The first secondary maximum is observed at an angle of \left(\sin 30^{\circ}=\frac{1}{2}\right)

Options:

A) \sin ^{-1}\left(\frac{3}{4}\right)

B) \sin ^{-1}\left(\frac{2}{3}\right)

C) \sin ^{-1}\left(\frac{1}{2}\right)

D) \sin ^{-1}\left(\frac{1}{4}\right)

351

MediumMHT CET2023

In a single slit experiment, the width of the slit is doubled. Which one of the following statements is correct?

Options:

A) The intensity and width of the central maximum are unaffected.

B) The intensity remains same and angular width becomes half.

C) The intensity and angular width both are doubled.

D) The intensity increases by a factor 4 and the angular width decreases by a factor of $\frac{1}{2}$.

352

MediumMHT CET2023

The rays of different colours fail to converge at a point after passing through a thick converging lens. This defect is called

Options:

A) spherical aberration

B) distortion

C) coma

D) chromatic aberration

353

MediumMHT CET2022

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

Options:

A) decreases with increase of slitwidth

B) may increase or decrease

C) decreases with decrease of slitwidth

D) increases with increase in slitwidth

354

MediumMHT CET2022

In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength $5500 \mathop A\limits^o, the first minimum is observed at an angle 30^{\circ}. The first secondary maxima is observed at an angle \theta$, equal to

Options:

A) \sin ^{-1}\left(\frac{1}{4}\right)

B) \sin ^{-1}\left(\frac{3}{4}\right)

C) \sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)

D) \sin ^{-1}\left(\frac{1}{\sqrt{2}}\right)

355

MediumMHT CET2021

Two monochromatic beams of intensities I and 4 I respectively are superposed to form a steady interference pattern. The maximum and minimum intensities in the pattern are

Options:

A) 4 \mathrm{I}$ and I

B) 9 I and 3I

C) 5 I and 3 I

D) 9 I and I

356

MediumMHT CET2021

The path difference between two interfering light waves meeting at a point on the screen is $\left(\frac{57}{2}\right) \lambda$. The bond obtained at that point is

Options:

A) 29th bright band

B) 57th dark band

C) 57th bright band

D) 29th dark band

357

MediumMHT CET2021

In Young's double slit experiment, in an interference pattern, a minimum is observed exactly in front of one slit. The distance between the two coherent sources is '$\mathrm{d}' and '\mathrm{D}$' is the distance between the source and screen. The possible wavelengths used are inversely proportional to

Options:

A) D, 5D, 9D, ....

B) \mathrm{D}, 3 \mathrm{D}, 5 \mathrm{D}, \ldots

C) 3 \mathrm{D}, 4 \mathrm{D}, 5 \mathrm{D}, \ldots

D) 3 \mathrm{D}, 7 \mathrm{D}, 10 \mathrm{D}, \ldots

358

MediumMHT CET2021

A beam of light having wavelength $5400 \mathrm{~A} from a distant source falls on a single slit 0.96 \mathrm{~mm} wide and the resultant diffraction pattern is observed on a screen 2 \mathrm{~m}$ away. What is the distance between the first dark fringe on either side of central bright fringe?

Options:

A) 4.8 mm

B) 1.2 mm

C) 2.4 mm

D) 3.6 mm

359

MediumMHT CET2021

Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is $\pi / 2 at point \mathrm{A} and \pi at point \mathrm{B}. Then the difference between the resultant intensities at \mathrm{A} and \mathrm{B}$ is

Options:

A) 4I

B) 5I

C) 2I

D) 3I

360

MediumMHT CET2021

In Young's double slit experiment, the intensity at a point where path difference is $\frac{\lambda}{6} (\lambda being the wavelength of light used) is I^{\prime}. If 'I_0' denotes the maximum intensity, then \frac{I}{I_0} is equal to \left(\cos 0^{\circ}=1, \cos 60^{\circ}=\frac{1}{\lambda}\right)

Options:

A) \frac{\sqrt{3}}{2}

B) \frac{4}{3}

C) \frac{1}{\sqrt{2}}

D) \frac{1}{2}

361

MediumMHT CET2021

In Young's double slit experiment, the distance of $\mathrm{n}^{\text {th }} dark band from the central bright band in terms of bandwidth '\beta$' is

Options:

A) \mathrm{n} \beta

B) (\mathrm{n}-1) \beta

C) (\mathrm{n}-0.5) \beta

D) (\mathrm{n}+0.5) \beta

362

MediumMHT CET2021

In biprism experiment, $6^{\text {th }} bright band with wavelength '\lambda_1' coincides with 7^{\text {th }} dark band with wavelength '\lambda_2' then the ratio \lambda_1: \lambda_2$ is (other setting remains the same)

Options:

A) 7: 6

B) 13: 12

C) 12: 13

D) 6: 7

363

MediumMHT CET2021

In Young's experiment with a monochromatic source and two slits, one of the slits is covered with black opaque paper, the fringes will

Options:

A) be darker

B) be narrower

C) be broader

D) not be observed

364

MediumMHT CET2021

In the interference experiment using a biprism, the distance of the slits from the screen is increased by $25 \% and the separation between the slits is halved. If 'W$' represents the original fringewidth, the new fringewidth is

Options:

A) 2 W

B) 2.5 W

C) 4 W

D) 1.5 W

365

MediumMHT CET2021

In biprims experiment, the $4^{\text {th }} dark band is formed opposite to one of the slits. The wavelength of light used is (\mathrm{d}= distance between the slits, \mathrm{D}=$ distance between scource and the screen)

Options:

A) \frac{\mathrm{d}^2}{14 \mathrm{D}}

B) \mathrm{\frac{d^2}{7 D}}

C) \frac{d^2}{9 \mathrm{D}}

D) \frac{d^2}{11 \mathrm{D}}

366

MediumMHT CET2021

In Young's double slit experiment using monochromatic light of wavelength '$\lambda', the maximum intensity of light at a point on the screen is \mathrm{K} units. The intensity of light at point where the path difference is \frac{\lambda}{3} is \left[\cos 60^{\circ}=\sin 30^{\circ}=\frac{1}{2}\right]

Options:

A) \frac{K}{4}

B) \frac{3 K}{4}

C) K

D) \frac{\mathrm{K}}{2}

367

MediumMHT CET2021

If two sources emit light waves of different amplitudes then

Options:

A) brightness of fringes is less.

B) fringes disappear after short time.

C) fringe width is less.

D) there is some intensity of light in the region of destructive interference.

368

MediumMHT CET2021

In Young's double slit experiment, the $10^{\text {th }} maximum of wavelength '\lambda_1' is at a distance of 'Y_1' from the central maximum. When the wavelength of the source is changed to '\lambda_2', 5^{th} maximum is at a distance 'Y_2' from the central maximum. The ratio \frac{Y_1}{Y_2}$ is

Options:

A) \frac{2 \lambda_1}{\lambda_2}

B) \frac{\lambda_2}{2 \lambda_1}

C) \frac{2 \lambda_2}{\lambda_1}

D) \frac{\lambda_1}{2 \lambda_2}

369

MediumMHT CET2021

A single slit diffraction pattern is formed with white light. For what wavelength of light the $3^{\text {rd }} secondary maximum in diffraction pattern coincides with the 2^{\text {nd }} secondary maximum in the pattern of red light of wavelength 6000 \mathop A\limits^o $ ?

Options:

A) 4500 $\mathop A\limits^o

B) 3500 $\mathop A\limits^o

C) 4000 $\mathop A\limits^o

D) 5000 $\mathop A\limits^o

370

MediumMHT CET2021

The width of central maximum of a diffraction pattern on a single slit does not depend upon

Options:

A) frequency of light used

B) width of the slit

C) distance between slit and source

D) wavelength of light used

371

MediumMHT CET2021

Two coherent sources of wavelength '$\lambda' produce steady interference pattern. The path difference corresponding to 10^{th}$ order maximum will be

Options:

A) 9.5 $\lambda

B) 10.5 $\lambda

C) 9 $\lambda

D) 10 $\lambda

372

MediumMHT CET2021

In Young's experiment, fringes are obtained on a screen placed at a distance $75 \mathrm{~cm}$ from the slits. When the separation between two narrow slits is doubled, then the fringe width is decreased. In order to obtain the initial fringe width, the screen should be moved through.

Options:

A) 150 \mathrm{~cm}$ away from the slits.

B) 75 \mathrm{~cm}$ towards the slits.

C) 75 \mathrm{~cm}$ away from slits.

D) 150 \mathrm{~cm}$ towards the slits.

373

MediumMHT CET2021

Two coherent sources 'P' and 'Q' produce interference at point 'A' on the screen, where there is a dark band which is formed between 4th and 5th bright band. Wavelength of light used is 6000 $\mathop A\limits^o $. The path difference PA and QA is

Options:

A) \mathrm{3.6\times10^{-4}~cm}

B) \mathrm{3.2\times10^{-4}~cm}

C) \mathrm{2.4\times10^{-4}~cm}

D) \mathrm{2.7\times10^{-4}~cm}

374

MediumMHT CET2021

In diffraction experiment, from a single slit, the angular width of central maximum does NOT depend upon

Options:

A) ratio of wavelength and slit width

B) distance of the slit from the screen

C) wavelength of light used

D) width of the slit

375

MediumMHT CET2021

In biprism experiment, 21 fringes are observed in a given region using light of wavelength 4800 $\mathop A\limits^o . If light of wavelength 5600 \mathop A\limits^o $ is used, the number of fringes in the same region will be

Options:

A) 18

B) 24

C) 14

D) 21

376

MediumMHT CET2021

A double slit experiment is immersed in water of refractive index 1.33. The slit separationis 1 $\mathrm{mm} and the distance between slit and screen is 1.33 \mathrm{~m}. The slits are illuminated by a light of wavelength 6300\,\mathop A\limits^o $. The fringewidth is

Options:

A) 4.9 \times 10^{-4} \mathrm{~m}

B) 6.3 \times 10^{-4} \mathrm{~m}

C) 8.6 \times 10^{-4} \mathrm{~m}

D) 5.8 \times 10^{-4} \mathrm{~m}

377

MediumMHT CET2021

In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the right is $5 \mathrm{~mm}. The screen on which the diffraction pattern is obtained is at a distance of 80 \mathrm{~cm} from the slit. The wavelength used is 6000 \mathop A\limits^o $. The width of the silt is

Options:

A) 0.096 mm

B) 0.576 mm

C) 0.192 mm

D) 0.384 mm

378

MediumMHT CET2021

In Young's double slit experiment, with a source of light having wavelength $6300 \mathop A\limits^o$, the first maxima will occur when the

Options:

A) path difference is $9200 \mathop A\limits^o

B) phase difference is $\mathrm{n}$ radian

C) phase difference is $\frac{\pi}{2}$ radian.

D) path difference is $6300 \mathop A\limits^o

379

MediumMHT CET2021

In Young's double slit experiment, the intensity at a point where the path difference is $\frac{\lambda}{4} [ \lambda is wavelength of light used] is '\mathrm{I}'. If '\mathrm{I}_0' is the maximum intensity then \frac{\mathrm{I}}{\mathrm{I}_0} is equal to \left[\cos \frac{\pi}{4}=\sin \frac{\pi}{4}=\frac{1}{\sqrt{2}}\right]

Options:

A) 3 : 2

B) 2 : 3

C) 3 : 4

D) 1 : 2

380

MediumMHT CET2021

In Young's double slit experiment, the '$\mathrm{n^{th}}' maximum of wavelength '\lambda_1' is at a distance '\mathrm{y_1}' from the central maximum. When the wavelength of the source is changed to '\lambda_2', \left(\frac{\mathrm{n}}{2}\right)^{\text {th }} maximum is at a distance of '\mathrm{y_2}' from its central maximum. The ratio \frac{y_1}{y_2}$ is

Options:

A) \frac{\lambda_2}{2 \lambda_1}

B) \frac{2 \lambda_1}{\lambda_2}

C) \frac{2 \lambda_2}{\lambda_1}

D) \frac{\lambda_1}{2 \lambda_2}

381

MediumMHT CET2021

Light of wavelength '$\lambda' is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the central maximum then \mathrm{D}=

Options:

A) \frac{a^2}{\lambda}

B) \frac{\mathrm{a}}{\lambda}

C) \frac{a^2}{2 \lambda}

D) \frac{\mathrm{a}}{2 \lambda}

382

MediumMHT CET2021

In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2m away from the lens. If wavelength of light used is 5000$\mathop A\limits^o then the distance between the first minimum on either side of the central maximum is (\theta$ is small and measured in radian)

Options:

A) 2 $\times 10^{-2}$ m

B) 10$^{-1}$ m

C) 10$^{-2}$ m

D) 10$^{-3}$ m

383

MediumMHT CET2020

A graph is plotted between the fringe-width Z and the distance D between the slit and eye-piece, keeping other adjustment same. The correct graph is (A) (B) (C) (D)

Options:

A) A

B) B

C) D

D) C

384

MediumMHT CET2020

The Brewster's angle for the glass-air interface is (54.74)^{\circ}. If a ray of light passing from air to glass strickes at an angle of incidence 45^{\circ}, then the angle of refraction is $\left[\tan (54.74)^{\circ}=\sqrt{2}, \sin 45=\frac{1}{\sqrt{2}}\right]

Options:

A) \sin ^{-1}(\sqrt{2})

B) \sin ^{-1}(1)

C) \sin ^{-1}(05)

D) \sin ^{-1}\left(\frac{1}{\sqrt{2}}\right)

385

MediumMHT CET2020

A light wave of wavelength $\lambda is incident on a slit of width d. The resulting diffraction pattern is observed on a screen at a distance D. If linear width of the principal maxima is equal to the width of the slit, then the distance D$ is

Options:

A) \frac{2 \lambda}{d}

B) \frac{d^2}{2 \lambda}

C) \frac{2 \lambda^2}{d}

D) \frac{d}{\lambda}

386

MediumMHT CET2020

When wavelength of light used in optical instruments A and B are 4500$\mathop A\limits^o and 6000\mathop A\limits^o $ respectively, the ratio of resolving power of A to B will be

Options:

A) 9 : 16

B) 16 : 9

C) 7 : 1

D) 4 : 3

387

MediumMHT CET2020

In diffraction experiment, from a single slit, the angular width of the central maxima does not depend upon

Options:

A) ratio of wavelength and slit width

B) distance of the slit from the screen

C) wavelength of light used

D) width of the slit

388

MediumMHT CET2020

In Young's double slit experiment green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the observed fringes to be more closely spaced?

Options:

A) Moving the screen away from the slits

B) Using blue light instead of green light

C) Using red light instead of green light

D) Reducing the separation between the slits

389

MediumMHT CET2020

When a photon enters glass from air, which one of the following quantity does not change?

Options:

A) Velocity

B) Wavelength

C) Momentum

D) Energy

390

MediumMHT CET2019

In Young's double slit experiment fifth dark fringe is formed opposite to one of the slit. IID is the distance between the slits and the screen and d is the separation between the slits, then the wavelength of light used is

Options:

A) \frac{d^2}{5 D}

B) \frac{d^2}{9 D}

C) \frac{d^2}{6 D}

D) \frac{d^2}{15 D}

391

MediumMHT CET2019

The phenomenon of interference is based on

Options:

A) conservation of momentum

B) quantum nature of light

C) conservation of energy

D) conservation of charge

392

MediumMHT CET2019

Light of wavelength ' \lambda ' is incident on a single slit of width ' a ' and the distance between slit and screen is ' D '. In diffraction pattern, if slit width is equal to the width of the central maximum then ' D ' is equal to

Options:

A) \frac{a}{2 \lambda}

B) \frac{a^2}{2 \lambda}

C) \frac{a}{\lambda}

D) \frac{a^2}{\lambda}

393

MediumMHT CET2019

The luminous border that surrounds the profile of a mountain just before sun rises behind it, is an example of

Options:

A) dispersion

B) total internal reflection

C) interference

D) diffraction

394

MediumMHT CET2019

In biprism experiment, the distance between source and eyepiece is 1.2 m, the distance between two virtual sources is 0.84 mm. Then the wavelength of light used if eyepiece is to be moved transversely through a distance of 2.799 cm to shift 30 fringes is

Options:

A) 6533 $\mathop A\limits^o

B) 6537 $\mathop A\limits^o

C) 6535 $\mathop A\limits^o

D) 6351 $\mathop A\limits^o

395

MediumMHT CET2019

If a star emitting yellow light is accelerated towards earth, then to an observer on earth it will appear

Options:

A) becoming orange.

B) shining yellow.

C) gradually changing to blue.

D) gradually changing to red.

396

MediumNEET2025

The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at 22.5^{\circ} from the polarization axis of one of the polaroids, is ( I 0_0 is the intensity of polarised light after passing through the first polaroid):

Options:

A) \frac{I_0}{8}

B) \frac{I_0}{16}

C) \frac{I_0}{2}

D) \frac{I_0}{4}

397

MediumNEET2025

An unpolarized light beam travelling in air is incident on a medium of refractive index 1.73 at Brewster's angle. Then

Options:

A) Both reflected and transmitted light are perfectly polarized with angles of reflection and refraction close to 60^{\circ} and 30^{\circ}, respectively

B) Transmitted light is completely polarized with angle of refraction close to 30^{\circ}

C) Reflected light is completely polarized and the angle of reflection is close to 60^{\circ}

D) Reflected light is partially polarized and the angle of reflection is close to 30^{\circ}

398

MediumNEET2024

Two slits in Young's double slit experiment are $1.5 \mathrm{~mm} apart and the screen is placed at a distance of 1 \mathrm{~m} from the slits. If the wavelength of light used is 600 \times 10^{-9} \mathrm{~m}$ then the fringe separation is

Options:

A) 4 \times 10^{-5} \mathrm{~m}

B) 9 \times 10^{-8} \mathrm{~m}

C) 4 \times 10^{-7} \mathrm{~m}

D) 4 \times 10^{-4} \mathrm{~m}

399

MediumNEET2024

Interference pattern can be observed due to superposition of the following waves: A. $y=a \sin \omega t B. y=a \sin 2 \omega t C. y=a \sin (\omega t-\phi) D. y=a \sin 3 \omega t$ Choose the correct answer from the options given below.

Options:

A) B and C

B) B and D

C) A and C

D) A and B

400

MediumNEET2024

A beam of unpolarized light of intensity I0 is passed through a polaroid A, then through another polaroid B, oriented at $60^\circ and finally through another polaroid C, oriented at 45^\circ$ relative to B as shown. The intensity of emergent light is:

Options:

A) \frac{I_0}{16}

B) \frac{I_0}{4}

C) \frac{I_0}{2}

D) \frac{I_0}{32}

401

MediumNEET2024

If the monochromatic source in Young's double slit experiment is replaced by white light, then

Options:

A) Interference pattern will disappear

B) There will be a central dark fringe surrounded by a few coloured fringes

C) There will be a central bright white fringe surrounded by a few coloured fringes

D) All bright fringes will be of equal width

402

MediumNEET2024

An unpolarised light beam strikes a glass surface at Brewster's angle. Then

Options:

A) The reflected light will be partially polarised.

B) The refracted light will be completely polarised.

C) Both the reflected and refracted light will be completely polarised.

D) The reflected light will be completely polarised but the refracted light will be partially polarised.

403

MediumNEET2023

Which set of colours will come out in air for a situation shown in figure?

Options:

A) Yellow, Orange and Red

B) All

C) Orange, Red and Violet

D) Blue, Green and Yellow

404

MediumNEET2023

For Young's double slit experiment, two statements are given below : Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant. Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases. In the light of the above statements, choose the correct answer from the options given below :

Options:

A) Both Statement I and Statement II are false

B) Statement I is true but Statement II is false

C) Statement I is false but Statement II is true

D) Both Statement I and Statement II are true

405

MediumNEET2022

If the screen is moved away from the plane of the slits in a Young's double slit experiment, then the :

Options:

A) linear separation of the fringes decreases

B) angular separation of the fringes increases

C) angular separation of the fringes decreases

D) linear separation of the fringes increase

406

MediumNEET2022

After passing through a polariser a linearly polarised light of intensity I is incident on an analyser making an angle of 30$^\circ$ with that of the polariser. The intensity of light emitted from the analyser will be

Options:

A) {{2I} \over 3}

B) {I \over 2}

C) {I \over 3}

D) {{3I} \over 4}

407

MediumNEET2022

In a Young's double slit experiment, a student observes 8 fringes in a certain segment of screen when a monochromatic light of 600 nm wavelength is used. If the wavelength of light is changed to 400 nm, then the number of fringes he would observe in the same region of the screen is

Options:

A) 6

B) 8

C) 9

D) 12

408

MediumNEET2020

Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is :

Options:

A) 1.83 $ \times $ 10-7 rad

B) 7.32 $ \times $ 10-7 rad

C) 6.00 $ \times $ 10-7 rad

D) 3.66 $ \times $ 10-7 rad

409

MediumNEET2020

In Young's double slit experiment, if the separation between coherent sources is halved and the distance of the screen from the coherent sources is doubled, then the fringe width becomes :

Options:

A) half

B) four times

C) one-fourth

D) double

410

MediumNEET2019

In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1m away, was found to be 0.2o. What will be the angular width of the first minima, ($\mu $water = 4/3) if the entire experimental apparatus is immersed in water?

Options:

A) 0.15o

B) 0.05o

C) 0.1o

D) 0.266o

411

MediumNEET2018

In Young’s double slit experiment the separation d between the slits is 2 mm, the wavelength $\lambda of the light used is 5896 \mathop A\limits^0 and distance D between the screen and slits is 100 cm. It is found that the angular width of the fringes is 0.20o. To increase the fringe angular width to 0.21o (with same \lambda $ and D) the separation between the slits needs to be changed to

Options:

A) 1.9 mm

B) 1.8 mm

C) 2.1 mm

D) 1.7 mm

412

MediumNEET2018

Unpolarised light is incident from air on a plane surface of a material of refractive index $\mu $. At a particular angle of incidence i, it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation?

Options:

A) Reflected light is polarised with its electric vector parallel to the plane of incidence

B) Reflected light is polarised with its electric vector perpendicular to the plane of incidence

C) i = {\sin ^{ - 1}}\left( {{1 \over \mu }} \right)

D) i = tan-1$\left( {{1 \over \mu }} \right)

413

MediumNEET2017

Young's double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly

Options:

A) 1.59

B) 1.69

C) 1.78

D) 1.25

414

MediumNEET2017

The ratio of resolving powers of an optical microscope for two wavelength $\lambda 1 = 4000 \mathop A\limits^ \circ and {\lambda _2} = 6000 \mathop A\limits^ \circ $ is

Options:

A) 9 : 4

B) 3 : 2

C) 16 : 81

D) 8 : 27

415

MediumNEET2017

Two polaroids P1 and P2 are placed with their axis perpendicular to each other. Unpolarised light $I$0 is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its axis makes an angle 45o with that of P1. The intensity of transmitted light through P2 is

Options:

A) {{{I_0}} \over 4}

B) {{{I_0}} \over 8}

C) {{{I_0}} \over 16}

D) {{{I_0}} \over 2}

416

MediumNEET2016

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio ${{{I_{max}} - {I_{\min }}} \over {{I_{max}} + {I_{min}}}}$ will be

Options:

A) {{\sqrt n } \over {n + 1}}

B) {{2\sqrt n } \over {n + 1}}

C) {{\sqrt n } \over {{{\left( {n + 1} \right)}^2}}}

D) {{2\sqrt n } \over {{{\left( {n + 1} \right)}^2}}}

417

MediumNEET2016

A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aparture is illuminated normally by a parallel beam of wavelength 5 $ \times 10-$5 cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is

Options:

A) 0.10 cm

B) 0.25 cm

C) 0.20 cm

D) 0.15 cm

418

MediumNEET2016

The intensity at the maximum in a Young's double slit experiment is $I0. Distance between two slits is d = 5\lambda , where \lambda $ is the wavelength of light used in the expreriment. What will be the intensity in front of one of the slits on the screen placed at a distance D = 10d ?

Options:

A) {3 \over 4}{I_0}

B) {{{I_0}} \over 2}

C) I0

D) {{{I_0}} \over 4}

419

MediumNEET2016

In a diffraction pattern due to a single slit of width $a, the first minimum is observed at an angle 30o when light of wavelength 5000 \mathop A\limits^ \circ $ is incident on the slit. The first secondary maximum is observed at an angle of

Options:

A) sin$-1\left( {{1 \over 2}} \right)

B) {\sin ^{ - 1}}\left( {{3 \over 4}} \right)

C) {\sin ^{ - 1}}\left( {{1 \over 4}} \right)

D) {\sin ^{ - 1}}\left( {{2 \over 3}} \right)

420

MediumNEET2015

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the midpoint of the slit is

Options:

A) \pi $ radian

B) {\pi \over 8}$ radian

C) {\pi \over 4}$ radian

D) {\pi \over 2}$ radian

421

MediumNEET2015

Two slits in Young's experiment have widths in the ratio 1 : 25. The ratio of intensity at the maxima and minima in the interference pattern, ${{{I_{max}}} \over {{I_{min}}}}$ is

Options:

A) {{49} \over {121}}

B) {4 \over 9}

C) {9 \over 4}

D) {{121} \over {49}}

422

MediumNEET2015

For a parallel beam of monochromatic light of wavelength '$\lambda $' , diffraction is produced by a single slit whose width 'a' is of the order of the wavelength of the light. If 'D' is the distance of the screen from the slit, the wifth of the central maxima will be

Options:

A) {{Da} \over \lambda }

B) {{2Da} \over \lambda }

C) {{2D\lambda } \over a}

D) {{D\lambda } \over a}

423

MediumNEET2015

In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern ?

Options:

A) 0.5 mm

B) 0.02 mm

C) 0.2 mm

D) 0.1 mm

424

MediumNEET2014

A beam of light of $\lambda = 600$ nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central bright fringe is

Options:

A) 1.2 cm

B) 1.2 mm

C) 2.4 cm

D) 2.4 mm

425

MediumNEET2014

In the Young's double slit experiment, the intensity of light at a point on the screen where the path difference $\lambda is K, (\lambda being the wavelength of light used). The intensity at a point where the path difference is \lambda $/4 will be

Options:

A) K

B) K/4

C) K/2

D) zero

426

MediumNEET2013

The reddish appearance of the sun at sunrise and sunset is due to

Options:

A) the scattering of light

B) the polarisation of light

C) the colour of the sun

D) the colour of the sky

427

MediumNEET2013

A parallel beam of light of wavelength $\lambda $ is incident normally on a narrow slit. A diffraction pattern formed on a screen placed perpenficular to the direction of the incident beam. At the second minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is

Options:

A) 2$\pi

B) 3$\pi

C) 4$\pi

D) \pi \lambda

428

MediumNEET2013

In Young's double slit experiment the distance between the slits and the screen is doubled. The separation between the slits is reduced to half. As a result the fringe width

Options:

A) is halved

B) becomes four times

C) remains unchanged

D) is doubled

429

MediumNEET2013

In Young's double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths ${\lambda _1} = 12000 \mathop A\limits^ \circ and {\lambda _2} = 10000 \mathop A\limits^ \circ $. At what minimum distance from the common central bright fringe on the screen 2 m from the slit will a bright fringe from one interference pattern coincide with a bright fringe from the other ?

Options:

A) 4 mm

B) 3 m

C) 8 mm

D) 6 mm

430

MediumNEET2007

The frequency of a light wave in a material is 2 $ \times 1014 Hz and wavelength is 5000 \mathop A\limits^ \circ $. The refractive index of material will be

Options:

A) 1.50

B) 3.00

C) 1.33

D) 1.40

431

MediumNEET2005

The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 $\mathop A\limits^ \circ $ is of the order of

Options:

A) 106 rad

B) 10$-$2 rad

C) 10$-$4 rad

D) 10$-$6 rad.

432

MediumNEET2004

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 $\mathop A\limits^ \circ $, is of the order of

Options:

A) 0.5 m

B) 5 m

C) 5 mm

D) 5 cm

433

MediumNEET2001

A ray of light travelling in air have wavelength $\lambda , frequency n, velocity v and intensity I. If this ray enters into water then these parameters are \lambda ', n', v' and I$' respectively. Which relation is correct from following ?

Options:

A) \lambda = \lambda $'

B) n = n'

C) v = v'

D) I = I$'.

434

MediumVITEEE2021

The Brewster's law is given by the expression

Options:

A) \mu=\frac{\sin i}{\sin r}

B) \mu=\tan \theta p

C) \mu=\cos \theta

D) \mu=\sin \theta

435

MediumVITEEE2021

If two slits in Young's experiment are $0.4 \mathrm{~mm} apart and fringe width on a screen 200 \mathrm{~cm} away is 2 \mathrm{~mm}$ the wavelength of light illuminating the slits is

Options:

A) 500 nm

B) 600 nm

C) 400 nm

D) 300 nm

436

MediumVITEEE2021

The distance of moon form the earth is $3.8 \times 10^5 \mathrm{~km}. Supposing that the eye is most sensitive to the light of wavelength 550 \mathrm{~nm}, the separation of two points on the moon that can be resolved by a 500 \mathrm{~cm}$ telescope is

Options:

A) 50 m

B) 55 m

C) 51 m

D) 60 m

437

MediumVITEEE2021

Unpolarised light falls on two polarising sheets placed one on top of other. If the intensity of transmitted light is one fourth of the incident light, the angle between them is

Options:

A) 35^{\circ}

B) 40^{\circ}

C) 45^{\circ}

D) 50^{\circ}

437

Total Questions

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372

Medium

Hard

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