Total No. of Questions [Total No. of Pages 2
M.Sc. (Previous) DEGREE EXAMINATION, MAY 2018
First Year
PHYSICS
Classical Mechanics and Statistical Mechanics
Time 3 Hours Maximum Marks 70
Answer any Five questions.
All questions carry equal marks
Q1) What are constraints? Classify and give examples.
State and explain D'Alembert's principle.
Q2) Explain angular momentum and kinetic energy of a rotating rigid body.
Derive Euler's equation of motion for a rigid body with fixed point.
Q3) Derive Lorentz transformation equations for relativistic motion.
Write a note on Lagrange and poisson brackets.
Q4) What are action angle variables? Solve kepler problem using action angle
variables.
Formulate the theory of small oscillations.
Q5) State and explain equi partition theorem.
Give a role of Gibb's paradox.
Q6) Explain the energy fluctuations in the canonical ensemble.
Obtain the equivalence between the canonical ensemble and grand canonical
ensemble.
Q7) Explain the postulates of quantum statistical mechanics.
State and explain variational principle.
Q8) Explain the theory of white dwarf stars.
Obtain an expression for the internal energy of an ideal Fermi gas.
Q9) Write any two of the following
Lagranges equations from Hamilton principle.
Canonical invariance
Density fluctuations in grand canonical ensemble.
Bose Einstein condensation.