Answer any one question from Q1 and Q2

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

6 M

1 (b)
Distinguish between musical sound and noise.

3 M

1 (c)
A monochromatic beam of light of wavelength 5893° A° is incident normally on the top of a glass which is coated by transparent material MgF

_{2}having R.I. 1.38. Calculate smallest thickness of the MgF_{2}layer which will act as a non reflecting surface.
3 M

2 (a)
Define magnetostriction effect. Explain how magnetostriction oscillator is used to produce ultrasonic waves, with the help of neat ckt. Diagram.

6 M

2 (b)
What is diffraction? What are the types of diffraction ? Distinguish between them (any two point).

3 M

2 (c)
The average reverberation time of a hall is 1.5sec, and the area of interior surface is 3340m

^{2}. If the volume of the hall is 13000m^{3}. Find the absorption coefficient.
3 M

Answer any one question from Q3 and Q4

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

6 M

3 (b)
Explain Fermi Dirac probability distribution function with the meaning of each symbol in it.

3 M

3 (c)
Calculate the conductivity of pure silicon at room temperature when the concentration of charge carriers is

1.6×10

1.6×10

^{10}/cm^{3}. Given that μ_{e}=1500 cm^{2}/V.Sec, μ_{n}=500 cm^{2}/V.Sec.
3 M

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

6 M

4 (b)
Explain propagation of light in a doubly refracting crystal when the optic axis is parallel to the crystal surface, with the help of neat diagram.

3 M

4 (c)
How should the polariser and analyzer be oriented to reduce the beam of light to i) 50% ii) 25% of its original intensity.

3 M

Answer any one question from Q5 and Q6

5 (a)
Deduce Schroedinger time independent wave equation.

6 M

5 (b)
Define group velocity. Show that the group velocity of matter wave is equal to particle velocity.

4 M

5 (c)
Calculate the de Broglie wavelength of electron having kinetic 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)
An electron is trapped in a rigid box of width 2A°. Find its lowest energy level.

3 M

Answer any one question from Q7 and Q8

7 (a)
Explain critical field of a superconductor and give any three points to differentiate type-I and type-II superconductors.

6 M

7 (b)
Explain the applications of nanoparticles in automobile and electronic industry.

4 M

7 (c)
Explain electrical properties of nano-particles.

3 M

8 (a)
Explain the synthesis of nanoparticles in automobile and electronic by colloidal route with diagram.

6 M

8 (b)
Explain the Meissner effect. What important property of superconductor it explain.

4 M

8 (c)
Explain two applications of superconductivity.

3 M

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