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The refractive index of calcite is 1.658 for ordinary ray and it is 1.486 for extraordinary ray. A
slice having thickness 0.9x10“cm is cut from the crystal. For what wavelengths this slice will act
as a (i) Quarter wave plate. (ii)Half wave plate

Distinguish between type I and type II super conductors with examples.

Calculate the de Broglie wavelength of electron whose kinetic energy is 10keV.

Distinguish between Macrostate and Microstate of a system

The volume of a hall is 3000൩. It has a total absorption of 10083580170. If the hall is filled with
audience who add another 80713580176, then find the difference in reverberation time.

What is NDT? How ultrasonic wave is used for NDT.

What is the difference between Spontaneous emission and Stimulated emission?

What is a LED? Give its working principle.

Part-C
Answer any 3 questions. Each question carries 6 marks.
Considering the transverse vibration in a stretched string, derive the differential equation of one-

dimensional wave.

Light from a monochromatic source is allowed to fall on a single slit. Two lenses are given.
With the help of a neat diagram write the experimental set up for obtaining the diffraction
pattern. Deduce the conditions for getting bright and dark regions on the screen. Also obtain the
width of central maximum.

How a Nicol prism can be constructed from a calcite crystal? How can it be used as a polarizer
and as an analyzer?

Formulate Schrodinger's time dependent equation starting from a plane wave equation by using

de Broglie's formula and Einstein's relation for photon energy.

Part-D
Answer any 3 questions. Each question carries 6 marks.
With a neat diagram explain how ultrasonic waves are produced by piezoelectric oscillator

What are the factors affecting the acoustics of a building?
Outline.the principle and working of Ruby Laser.
Define numerical aperture of an optical fibre and derive an expression for NA of a step index

fibre.