Solve any one question from Q1 and Q2

1 (a)
Prove that in Newton's rings by reflected light the diameter of dark ring is proportional to square root of a natural number.

6 M

1 (b)
Explain any two factors affecting the acoustics of a hall and remedies on that.

3 M

1 (c)
The classroom has dimension, 20×15×5 m

^{3}. The reverberation time is 3.5 sec. Calculate the total absorption of its surface and the average absorption.
3 M

2 (a)
Explain piezoelectric effect. Explain how piezoelectric oscillator is used to produce ultrasonic waves, with the help of a neat circuit diagram.

6 M

2 (b)
The resultant amplitude of a wave when monochromatic light is diffracted from a single slit is \( E_\theta = E_m = \dfrac {\sin \alpha }{\alpha} \). Then derive the condition of minima.

3 M

2 (c)
A soap film having refractive index 1.33, and thickness 5×10

^{-5}cm is viewed at an angle of 35° to the normal. Find the wavelength of light in the visible spectrum which will be absent from the reflected light.
3 M

Solve any one question from Q3 and Q4

3 (a)
Explain construction and working of Ruby Laser with the help of energy level diagram.

6 M

3 (b)
What is Fermi level? Explain Fermi-Dirac probability distribution function.

3 M

3 (c)
Plane polarized light of wavelength 5×10

Given: μ

^{-5}cm is incident on a piece of quarter cut parallel to the optic axis. Find the least thickness of quarter for which the O-ray and E-ray combine to from plane polarized light.Given: μ

_{0}=1.5442, μ_{e}=1.5633.
3 M

4 (a)
Explain Hall Effect. Derive the equation of Hall voltage and Hall coefficient.

6 M

4 (b)
State and prove Malus law.

3 M

4 (c)
Calculate the number of acceptors to be added to a germanium sample to obtain the resistivity of 20 Ω cm.

Given: μ=1700cm

Given: μ=1700cm

^{2}/V.sec.
3 M

Solve any one question from Q5 and Q6

5 (a)
Deduce Schrödinger's time independent wave equation.

6 M

5 (b)
Define phase (wave) velocity. Show that the phase velocity of matter wave is greater than the velocity of light.

4 M

5 (c)
Calculate the deBroglie wavelength of electron of energy 1 keV.

3 M

6 (a)
State Heisenberg's uncertainty principle and prove it by thought experiment of electron diffraction at a single slit.

6 M

6 (b)
What is wave function? Explain what is normalization of wave function.

4 M

6 (c)
The lowest energy of an electron trapped in a rigid box is 4.19 eV. Find the width of the box in A.U.

3 M

Explain:

7 (a) (i)
Critical field.

3 M

7 (a) (ii)
Meissner effect.

3 M

7 (b)
Explain any two properties of nano-particles in brief.

4 M

7 (c)
Explain the applications of nano-particles in electronic industry.

3 M

8 (a)
Explain the synthesis of nano-particles by chemical method in colloidal form with diagram and example.

6 M

8 (b)
Explain in brief the BCS theory of superconductivity.

4 M

8 (c)
Give any six applications of superconductivity.

3 M

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