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Roll No. ............................
Total No. of Questions - 11
Total No. of Printed Pages : 07
OP-553
M.Sc. (REG/ATKT) Examination, 2024
(Second Semester)
PHYSICS
Paper-II
Mechanics Statistical
M.Sc. (REG/ATKT) Examination, 2024
(Second Semester)
PHYSICS
Paper-II
Mechanics Statistical
Time : 3 Hours]
[Maximum Marks : 85
Note : Attempt all Sections.
Section A
(Objective Type Questions)
2x5=10
2x5=10
Note : Attempt all questions. All questions carry equal marks.
1.
Choose the correct answer :
(i) The ensemble which allows the subsystem to
allow exchange of energy as well as number of
particles with a reservior is called :
(a) Microcanonical ensemble
(b) Canonical ensemble
(c) Grand canonical ensemble
(d) Both (a) and (b)
allow exchange of energy as well as number of
particles with a reservior is called :
(a) Microcanonical ensemble
(b) Canonical ensemble
(c) Grand canonical ensemble
(d) Both (a) and (b)
(ii) The statistics which electron obey :
(a) M-B statistics
(b) B-E statistics
(c) F-D statistics
(d) None of the above
(a) M-B statistics
(b) B-E statistics
(c) F-D statistics
(d) None of the above
(iii) The virial coefficients depend on :
(a) The temperature
(b) The particular gas
(c) Both (a) and (b)
(d) None of the above
(a) The temperature
(b) The particular gas
(c) Both (a) and (b)
(d) None of the above
(iv) The cluster expansion is known as :
(a) High temperature expansion
(b) Hopping expansion
(c) A power series expansion of partition function
(d) All of the above
(a) High temperature expansion
(b) Hopping expansion
(c) A power series expansion of partition function
(d) All of the above
(v) The total number of co-ordinates in phase space
is :
(a) 3
(b) 4
(c) 6
(d) 10
is :
(a) 3
(b) 4
(c) 6
(d) 10
Section B
(Short Answer Type Questions)
5x5=25
5x5=25
Note : Attempt all questions. All questions carry equal marks.
2.
Explain Gibbs paradox.
Or
Explain canonical and grand canonical ensembles.
3.
Differentiate between Maxwell-Boltzmann and Fermi-Dirac statistics.
Or
Explain Bose-Einstein condensation.
4.
Explain one-dimensional Ising model.
Or
What are cluster expansion ? Explain it for a classical gas.
5.
Derive Fokker Planck equation.
Or
Explain Onsager reciprocity relation.
6.
Explain any two of these :
(a) Langevin's theory of particles
(b) Bose-Einstein statistics
(c) Boltzmann transport equation
Section C
(Long Answer Type Questions)
5x10=50
5x10=50
Note : Attempt all questions. All questions carry equal marks.
7.
Explain phase space, trajectories and density of states.
Or
Explain energy and density fluctuations.
8.
Give statistics of ensembles in detail.
Or
Give statistics of indistinguishable particles.
9.
Derive exact solution in one-dimensional equation for a gas.
Or
Explain virial equation of state.
10.
Describe thermodynamic functions spatial correlation.
11.
Explain in details any two of the following :
(a) 2-dimensional Ising model
(b) Fluctuation dissipation theorem
(c) 3-dimensional Ising model.