Law of Equipartition of Energy

Which statements are correct about degrees of freedom?

(A) A molecule with n degrees of freedom has n$^{2}$ different ways of storing energy. (B) Each degree of freedom is associated with $\frac{1}{2}$ RT average energy per mole.

(C) A monatomic gas molecule has 1 rotational degree of freedom whereas diatomic molecule has 2 rotational degrees of freedom.

(D) $\text{CH}_4$ has a total of 6 degrees of freedom.

Choose the correct answer from the options given below:

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?

What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T? (kB is Boltzmann constant)

Given below are two statements:

Statement I: In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution.

Statement II: In a diatomic molecule, the rotational energy at a given temperature equals the translational kinetic energy for each molecule.

In the light of the above statements, choose the correct answer from the options given below:

A polyatomic gas with $n$ degrees of freedom has a mean energy per molecule given by