1(a) What is
uncertainty principle? Based on Heisenberg’s uncertainty principle, show that
electrons cannot exist within the
nucleus. (06 Marks)

(b)
What is Planck’s radiation law?
Show how Wien’s law and Rayleigh-Jean’s law can be derived from it. (05
Marks)

(c) Explain de-Broglie Hypothesis. (4 Marks)

(d) A quantum
particle confined to one dimensional box of width ‘a’ is in its first excited
state. What is the probability of finding the particle over an interval of
(a/2) marked symmetrically at the centre of the box? (05 Marks)

2(a)Write a note on expectation value. (4 Marks)

(b) Set up time independent one dimensional SchrÃ¶dinger
equation. (06 Marks)

(c) Define
group velocity. Derive relation between group velocity and phase velocity. (06 Marks)

(d) Estimate the time spent by an atom in the excited state
during the excitation and de-excitation processes, when a spectral line of
wavelength 546 nm and width 10

^{-14}m is emitted. (04 marks)
3.(a) Explain law of mass action. (4
Marks)

(b). Write a short note on Fermi-Dirac statistics (04 Marks)

(c)What is Meissner
effect? Distinguish between Type-I and Type-II superconductors. (06
Marks)

(d) For intrinsic gallium arsenide, the room temperature electrical
conductivity is 10

^{-6}ohm^{-1}m^{-1}. The electron and hole mobilities are respectively 0.85 m^{2}/Vs and 0.04 m^{2}/Vs. Calculate the intrinsic carrier concentration at room temperature. (06 Marks)
4.(a) Write notes
on isotope effect and critical surrent density of superconductors. (04
Marks)

(b) What is Josephson
effect? (04 Marks)

(c) Explain Lorentz-Drude theory. Write special comments on
positive Hall coefficient of zinc. (8
Marks)

(d) Calculate the probability
of an electron occupying an energy level 0.02 eV above the Fermi level and 0.02
eV below the Fermi level at 200 K. (04 Marks)

5.(a) Describe the recording and
reconstruction processes in holography, with the help of suitable diagrams. (05 Marks)

(b) Obtain expressions for numerical
aperture and acceptance angle of an optical fiber. (04 Marks)

(c) Explain
the different types of optical fibers.
(04 Marks)

(d) Describe the construction and working
of semiconductor laser. The average output power of laser source emitting a
laser beam of wavelength 633nm is 5 mW. Find the number of photons emitted per
second by the laser source. (07 Marks)

6(a) Explain the crystal structure of sugar
crystals. Write notes on Polymorphism and Allotropy. (08
Marks)

(b) Obtain an expression for
interplanar distance in a cubic crystal in terms of Miller indices. (04 Marks)

(c) What are unit
cell, lattice parameter, Bravaise lattice and coordination number.

(4 Marks)

(d) A monochromatic X-ray beam of wavelength 1.5 Ã… undergoes
second order Bragg reflection from the plane (211) of a cubic crystal, at a
glancing angle of 54.38

^{0}. Calculate the lattice constant. (04 Marks)
7(a) Explain how nanoparticles are synthesised by molecular beam epitaxy
method.

(6 Marks)

(b). Describe the arc discharge method of producing carbon nanotubes. (04 Marks)

(c) Write a note on application of nanoparticles in agriculture. (04 Marks)

(d) Explain the working of SEM. In a SEM, electrons are accelerated by an
anode potential difference of 60 kV. Estimate the wavelength of the electrons
in the scanning beam. (06 Marks)

8(a) What is a shock wave? Mention three applications. Briefly explain Rankine-Hugonit
shock equations. (08
Marks)

(b) Explain the method
of production of ultrasonic waves by magnetostriction method.

(04
Marks)

(c) What is nondestructive
testing? mention some examples. (04
Marks)

(d) distinguish between NMR and
ESR. (04
Marks)