52.
A system of N non-interacting classical point particles constrained to move on the two-dimensional surface of a sphere. The internal energy of the system is

54.
The wavefunctions of two identical particles in stated n and s are given by $${\phi _n}\left( {{r_1}} \right)$$  and $${\phi _s}\left( {{r_2}} \right)$$ , respectively. The particles obey Maxwell-Boltzmann statistics. The state of the combined two particles system is expressed as

55.
The vapour pressure p (in mm of Hg) of a solid, at temperature T, is expressed by In p = 23 - 3863/T and that of its liquid phase by In p = 19 - 3063/T. The triple point (in kelvin) of the material is

56.
The probability that an energy level E at a temperature T is unoccupied by a fermion of chemical potential μ is given by

57.
Which one of the following is a first order phase transition?