M.Sc. DEGREE EXAMINATION, APRIL 2017.
Second Semester
Physics
THERMODYNAMICS AND STATISTICAL MECHANICS
(2016 onwards)
Time 3 Hours Maximum 75 Marks
Part A (10 x 2 20)
Answer all the questions.
1. Define an ensemble.
2. Write down the Euler relation.
3. Define partition function.
4. State virial theorem.
5. Give the fluctuations in ensembles.
6. Write down the Boltzmann equation for quantum
statistics.
7. What are Bosons?
8. What is random walk?
9. Define the heat capacity of a solid.
10. State Dulong-Petits Law.
Sub. Code
521503
RW-176
2
WS 20
Part B x 5 25)
Answer all the questions choosing either or
11. Derive the expressions for thermodynamic
potentials.
Or
Discuss about the volume occupied by a quantum
state.
12. Explain the two level system in micro canonical
ensemble.
Or
Discuss the distribution of molecular velocities.
13. Discuss about the fluctuations in different
ensembles.
Or
Derive the Boltzmann equation for change of states
without collisions.
14. Explain the chemical potential of bosons
Or
Derive the thermodynamic relations for noninteracting
Fermi gas.
RW-176
3
WS 20
15. Discuss about the heat capacity of a homonuclear
diatomic gas.
Or
Classify the phase transitions by order and by
symmetry.
Part C x 10 30)
Answer any three questions.
16. Discuss about the micro and macro states in classical
systems.
17. Explain in detail about the partition function and free
energy of an ideal gas.
18. Describe the Maxwell-Boltzmann distribution law for
microstates in a classical gas.
19. Write a note on
Particles and antiparticles
Brownian motion.
20. Discuss the one dimensional Ising model and its solution
by variational method.
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