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Revision quiz on Wave Optics

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Question 1

What is the smallest Bragg angle for X-Rays of wavelength 30 pm to reflect from reflecting planes spaced 0.30

apart in a calcite crystal.

Question 2

A 50 cm long tube containing 20% sugar solution rotates the plane of polarization of light by 32^o. The specific rotation of sugar is

Question 3

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 θ. Then :

Question 4

Light of wavelength 550 nm falls normally on a slit of width 22 × 10^-5 cm. The angular position of the second minima from the central maximum will be (in radians) :

Question 5

A system illustrated in Fig. consists of two coherent point sources 1 and 2 located in a certain plane so that their dipole moment is oriented at right angle to the plane. The sources are seperated by a distance d; the radiation wavelength is equale to λ. Taking into account that the oscillations of source 2 lag in phase behind the oscillations of source 1 by ϕ (ϕ<π). What will be the angle θ at which the radiation intensity is maximum?

Question 6

Electrons accelerated from rest by an electrostatic potential are collimated and sent through a Young’s double slit setup. The fringe width is w. If the accelerating potential is doubled then the width is now close to

Question 7

In Young's double slit experiment, the central maxima occur at zero path difference between the interfering beams. A glass plate of thickness 1 mm is inserted to cover the upper slit completely. If the slit separation is 1 mm and the diffraction patterns are observed at the focal plane of the converging lens (focal length 20 mm), which of the following statements on the position of the central maximum is true. Assume the refractive index of the glass is 1.5.

Question 8

A physicist made a light that is the mixture of light of wavelength between 150 nm to 450 nm. If this light goes through a medium of refractive index ( µ=1.5). What is the limits of wavelength when the light is passing through the medium?

Question 9

A double slit experiments is performed with light of wavelength 500 nm. A thin film of thickness 2

and refractive index 1.5 is introduced in the path of the upper beam. The location of the central maximum will

Question 10

In a Young’s double slit experiment with light of wavelength

the separation of slits is d and distance of screen is D such that

. If the Fringe width is

, the distance from point of maximum intensity to the point where intensity falls to half of maximum intensity on either side is:

Question 11

A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 Å 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:

Question 12

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

Now another identical polarizer C is placed between A and B. The intensity beyond B is now found to be

The angle between polarizer A and C is :

Question 13

Young’s double slit experiment is made in a liquid. The 10^th bright fringe in liquid lies where 6^th dark fringe lies in vacuum. The refractive index of the liquid is approximately:

Question 14

In Young’s double slit experiment, one of the slit is wider than other, so that the amplitude of the light from one slit is double of that from other slit. If I_m be the maximum intensity, the resultant intensity I when they interfere at phase difference ϕ is given by

Question 15

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:

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Dec 23JEE & BITSAT