APH1C02 Thermal and Statistical Physics M.Sc Model Question Paper : mgu.ac.in

Name of the University : Mahatma Gandhi University
Department : Applied Physics
Degree : M Sc Physics
Subject Code/Name : APH1C02/Thermal and Statistical Physics
Paper : IV
Sem : I
Website : mgu.ac.in
Document Type : Model Question Paper

Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/mgu.ac.in/5208-CMS%20Applied%20Thermal%20n%20Statistical%20CMS.pdf

Thermal and Statistical Physics :

M.Sc. Degree (PGCSS) Examination :
Faculty of Science :
First Semester :

Related : MGU PH1MC4 Condensed Matter Physics M.Sc Model Question Paper : www.pdfquestion.in/5207.html

Applied Physics :
APH1C02 – Thermal and Statistical Physics :
[For 2012 admission Students]
Time: Three Hours
Maximum Weight: 30
Part A :
(Answer any SIX questions. Each question carries a weightage of ONE)
1. Write a note on Canonical and grand canonical ensembles.
2. Give the physical significance of entropy.
3. Show that with the increase in pressure, boiling point of liquid increases.
4. Obtain partition function for a photon gas.

5. Write a note on density matrix.
6. Narrate Lambda transition.
7. Explain free electron model of gas.
8. Explain briefly the two fluid model for liquid Helium II.

9. State Wiener – Khinchin theorem.
10. Distinguish between first and second order phase transitions.
(6 x 1 = 6 weights)

Part B :
(Answer any FOUR questions. Each question carries a weightage of TWO)
12. Show that if the partition function is given by Z, the mean energy E is given by
13. Calculate the value of Fermi energy at absolute zero temperature.

14. The density of sodium is 0. 97 x 103 kg/m3 and its molar mass is 0.023. Find the Fermi
energy of the electron gas in metallic sodium and the specific heat of sodium at a temperature T.

15. Show that the electron gas in copper is degenerate at room temperature.
16. Show that for a one dimensional, field free Ising model
(4 x 2 = 8 weights)

Part C :
(Answer any ALL questions. Each question carries a weightage of FOUR)
17. What are thermodynamic potentials? Deduce from them the Maxwell’s thermodynamic relations. What is the importance of these functions?
OR
Obtain Maxwell’s thermodynamic relations from the I and II laws of thermodynamics.

18. Obtain the translational, rotational and vibrational partition functions for a diatomic molecule.
OR
Give a detailed introduction of BE and FD statistics in comparison to MB statistics.

19. Discuss with theory BE condensation. Explain super fluidity.
OR
Derive the equation of state of an ideal Fermi gas at very low temperature.

20. Explain Ising model. How can the results of Ising model be applied to Lattice gas?
OR
Obtain an expression for the probability density of a canonical ensemble. Show that log is additive for two systems in thermal contact with heat reservoir. (4 x 4 = 16 weights)

Model Question Paper :
V Semester B.Sc. Physics :
PH5B03U – Thermal And Statistical Physics
Instructions :
1. Time allotted for the examination is 3 Hours.
2. Answer all questions in Part A. This contains 4 bunches of 4 objective type questions. For each bunch, Grade A will be awarded if all the 4 questions are correct, B for 3, C for 2, D for 1 and E for 0. Answer any 5 questions from Part B, any 4 from Part C and any 2 from Part D.
3. Candidates can use ……………………….(type of calculator/tables)

Part A : (Objective type- weight 1 each)
Bunch 1
1. In a reversible adiabatic process, entropy :
(a) increases ( b) remains unchanged
(c) decreases (d) becomes zero

2. A piece of ice is added to a cup. The entropy
(a) increases (b) remains unchanged
( c ) decreases (d.) first decreases and then increases.

3. Gibbs potential is defined as
(a) G=U-PV+TS (b) G=U+PV+TS
( c ) G=U-PV-TS (d ) G=U+PV-TS

4. Rice takes longer time to cook
(a) in a submarine under sea (b) at sea level
(c ) at mount-Everest. (d) it does not depend on the place where we cook

Bunch II :
5. The thermodynamic potentials are :
(a) Pressure, Volume, temperature and internal energy
( b) Pressure, Volume, Helmholtz function and internal energy
( c) Helmholtz function Gibbs free energy, Enthalpy and internal energy
(d) None of these

6. Average energy of a Planck’s oscillator is
(a) E =hn (b) E =nhn
( c ) E =hn/[e h /Kt -1] (d) E= mc2

7. The radiation emitted by a perfectly black body is proportional to
(a) Temperature of an ideal gas
(b) Fourth root of temperature on ideal gas scale
(c.) Fourth power of temperature on ideal gas scale
(d) Source of temperature on an ideal gas scale.

8. When a rubber band is quickly stretched its temperature
( a) Rises ( b). remains unchanged
( c) falls (d.) first falls then rises