M.Sc. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2017.
Third Semester
Physics
Paper I STATISTICAL MECHANICS
2 20731-A
Time 3 Hours Max. Marks 70
SECTION — A
Answer any FIVE questions. 6 30 Marks)
Each question carries 6 marks.
1. State and prove Liouville's theorem.
2. Express dispersion in the value of energy in terms of the partition function Z.
3. Find the probability of the system in state according to canonical ensemble.
4. Obtain the transnational partition for a diatomic molecule.
5. State and prove equipartition theorem.
6. Explain Bose-Einstein condensation.
7. Explain magnetic susceptibility of free electrons.
8. Write notes on thermionic emission.
SECTION — B
Answer ALL questions. 10 40 Marks)
All questions carry equal marks.
9. Obtain the partition function for ideal monoatomic gas.
Or
What is Gibb's paradox? How to resolve the Gibb's paradox difficulties.

10. Obtain vibrational partition function and apply vibrational partition function
to solids.
Or
Explain identical particles and symmetry requirements and arrange two
particles in three states according to B-E and F-D statistics.
11. Obtain Maxwell-Boltzmann and Bose-Einstein distributions.
Or
Explain black body radiation and get Planck's radiation law.
12. Explain energy fluctuations in the canonical ensemble.
Or
Write detailed notes on White dwarf stars.
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