N A L A N D A O P E N U N I V E R S I T Y
M.Sc. Physics, Part-I
PAPER-IV
(Statistical Physics)
Annual Examination, 2017
Time 3 Hours. Full Marks 80
Answer any Five Questions.
All questions carry equal marks.
1. State and prove Boltzmann theorem of entropy. Obtain expression for the entropy of a
monoatomic gas.
2. What do you mean by partition function Show that the partition function of a monoatomic.
3. State and explain the fundamental assumptions of statistical mechanics. Explain phase space
and density of states.
4. Explain microcanonical and grand canonical ensembles. Derive Sackur-Tetrod equation for a
perfect gas.
5. What is phase transition Explain the first order and the second order phase transitions. Discuss
Landau theory of phase transition.
6. Derive Virial equation of state and evaluate the Virial coefficients.
7. What are critical indices Explain the different scaling relations and the critical indices.
8. Describe the two dimensional Ising model and show how does it explain the phenomenon of
spontaneous magnetisation.
9. Show that the pressure exerted by a Fermi gas at Energy.
10. Write notes on any Two of the following
Phase-space, trajectory of phase point and density of states.
Bose-Einstein Condensation.
Gibbs' paradox.
Scale transformation in phase transition.