Sunday, January 1, 2017




Part A

1. What is resonance? Give two examples.

2. Compare conduction current and displacement current.

3. Define space lattice and unit cell.

4. Explain length contraction.

5. What are non reflecting films?

6. What is Rayleigh’s criterion for geometric resolution?

7. Calculate the thickness of a quarter wave plate for light of wavelength 5896A°. The refractive indices for ordinary and extraordinary rays being 1.54 and 1.55 respectively.

8. Explain uncertainty principle.

9. What are bosons and fermions?

10. Describe the recording of a hologram.

Part B

11. (a) Frame and solve the differential equation for an SHM. (7 marks)

(b) Derive one dimensional wave equation. (9 marks)

(c) A wave is represented by

Compute the (i) amplitude (ii) frequency (iii) wavelength and (iv) wave velocity (z in metre and t in second). (4 marks)

12. (a) Show that velocity of an EM wave in free space is (10 Marks)

(b) Assuming plane wave solutions prove that , for an EM wave propagating along the z-direction. (10 Marks)

13. (a) Explain Meissner effect. (6 marks)

(b) Distinguish between Type I and Type II superconductors. (10 Marks)

(c) Obtain the Miller indices of a plane which intercepts at a, , 3c in a simple cubic unit cell. (4 marks)

14. (a) What are Miller indices? Obtain a relation between interplanar spacing and Miller indices. (8 marks)

(b) Derive . (8 marks)

(c) Calculate the velocity at which the mass of a body becomes twice its rest mass.

(4 marks)

15. (a) Describe piezoelectric method for producing ultrasonic waves. (6 marks)

(b) Discuss Fraunhofer diffraction at a single slit. (10 Marks)

(c) Light of wavelength 656nm falls normally on a grating 20mm wide. The first order is from the normal. What is the total number of lines in the grating?

(4 marks)

16. (a) Describe an experiment to measure the diameter of a thin wire using an air wedge arrangement. (10 Marks)

(b) Describe the construction and working of a Nicol prism. (10 Marks)

17. (a) Deduce Schrodinger’s time dependent wave equation from the operators of position and momentum. (7 marks)

(b) Explain the principle and working of Ruby laser. (10 Marks)

(c) What are the advantages of gas lasers over solid state lasers. (3 marks)

18. (a) Distinguish between spontaneous emission and stimulated emission. (5 Marks)

(b) Deduce Planck’s law from BE statistics. (10 Marks)

(c) Find the Fermi energy in Chromium assuming that each Chromium atom contributes one free electron to the Fermi gas. The density of Chromium is 7.2 kg/ and the atomic mass is 52 amu. 

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