1. Explain the phenomenon of resonance. Give two examples.

2. State and explain Poynting’s theorem.

3. Define the terms space lattice and unit cell.

4. State the postulates of special theory of relativity.

5. Describe interference filters.

6. Light of wavelength 5893Å is incident normally on a plane transmission grating having 6000 lines/cm. Calculate the angle at which the first order principal maximum is obtained.

7. Explain the phenomenon of double refraction.

8. What are macrostates and microstates?

9. Explain the physical significance of wavefunction.

10. Explain the terms population inversion and stimulated emission in laser.

Part B

11. (a) Obtain the differential equation for damped harmonic oscillator. Solve the differential equation and discuss the three cases of damping. (10 Marks)

(b) Derive one dimensional wave equation. (10 Marks)

12. (a) From the basic laws of electricity and magnetism derive Maxwell’s electromagnetic equations. (10 Marks)

(b) Prove that velocity of electromagnetic waves in free space is equal to the velocity of light. (10 Marks)

13. (a) Define the terms co ordination number and packing factor for cubic crystals. Obtain their values for sc, bcc and fcc lattices. (10 Marks)

(b) What are Miller indices? Explain how Miller indices of a crystal plane can be determined. (5 Marks)

(c) Molybdenum has bcc structure. Its density is 10.2×103 kg/m3 and its atomic weight is 95.94. Determine the radius of Molybdenum atom. (5 Marks)

14. (a) Explain the phenomeneon of time dilation. (6 marks)

(b) Derive Einstein’s mass energy relation. (8 marks)

(c) Describe Meissner effect in superconductivity. (6 marks)

15. (a) Describe Newton’ rings experimental set up. Obtain the expression for radius of the nth dark ring. (10 Marks)

(b) Define resolving power of an optical instrument. Deduce the expression for resolving power of a microscope. (5 Marks)

(c) Explain piezoelectric generator. (5 Marks)

16. (a) Describe with theory production and detection of elliptically and circularly polarized lights. (10 Marks)

(b) Explain Kerr effect. (5 Marks)

(c) Describe briefly the detection of ultrasonic waves. (5 Marks)

17. (a) Write down Schrodinger equation for particle in a box. Solve it and obtain energy eigen values and energy eigen functions. (10 Marks)

(b) State and explain uncertainty principle. Obtain the uncertainty in frequency of light emitted by an atom. (5 Marks)

(c) Describe how a hologram can be recorded. (5 Marks)

18. (a) Compare Maxwell- Boltzmann, Bose- Einstein and Fermi- Dirac statistics. (10 Marks)

(b) Describe the construction and working of Ruby laser.

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