A system has two energy levels with energies E and 2E. The lower level is four-fold degenerate while the upper level is doubly degenerate. If there are N non-interacting classical particles in the system, which is in thermodynamic equilibrium at temperature T, the fraction of particles in the upper level is

A system of non-interacting Fermi particles with Fermi energy EF has the density of states proportional to √E, where E is the energy of a particle. The average energy per particle at temperature T = 0 is

A piston containing an ideal gas is originally in the state X (see figure). The gas is taken through a thermal cycle X → Y → X as shown
Thermodynamics and Statistical Physics mcq question image
The work done by the gas is positive, if the direction of the thermal cycle is

A photon gas is at thermal equilibrium at temperature T. The mean number of photons in an energy state $$\varepsilon = h\omega $$  is

In a classical micro-canonical ensemble for a system of N non-interacting particles, the fundamental volume in phase space which is regarded as equivalent to one micro-state is
(where, h is the Planck's constant.)

In the region of co-existence of a liquid and vapour phases of a material

The partition function of two Bose particles, each of which can occupy any of the two energy levels 0 and $$\varepsilon $$ is

It is necessary to apply quantum statistics to a system of particles, if

Consider the Fermi-Dirac distribution function f(E) at room temperature (300 K), where E refers tb energy. If EF is the Fermi energy, which of the following is true?