a) State the D’Alembert’s principle and obtain the Lagrange’s equation from it.
b) State and describe principle of least action.
a) What do you understand by the independent coordinates of a rigid body?
b) Describe the coriots force and its importance.
a) State and describe the basic postulator of spatial theory of relativity and get Lorentz transformations.
b) Describe conanical transformation with illustrations.
a) What do you mean by action angle variable? Describe the use of such variables to the problems of Kepler’s laws.
b) Formulate the theory of small oscillations.
a) State and describe equi-partition theorem.
b) What do you mean by Gibb’s paradox? Describe how it has been resolved.
a) Describe the energy fluctuations in the canonical ensemble.
b) Obtain the equivalence between the canonical ensemble and grand canonical ensemble.
a) Describe the postulate of quantum statistical mechanics.
b) Describe the Darwin–Fowler method for finding out the partition function.
a) Obtain an expression for the internal energy of an ideal Fermi gas.
b) Describe Bose-Einstein condensation.
problem 9: prepare notes on any two of the given:
a) Hamilton’s principle.
b) Canonical invariance.
c) Density punctuations in the grand canonical ensemble.
d) Theory of white-dwarf.