The number of rotational degrees of freedom of a monatomic molecule is

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:

How many degrees of freedom does a diatomic gas have due to its translational motion?

Internal energy of $n_1$ moles of hydrogen at temperature $T$ is equal to the internal energy of $n_2$ moles of helium at temperature $2T$. Then the ratio $n_1:n_2$ is: [Degree of freedom of $He = 3$,Degree of freedom of $H_2 = 5$]

According to the law of equipartition of energy, the molar specific heat of a non-rigid diatomic gas at constant volume is

Derive the equation for the internal energy of a gas in terms of its degrees of freedom.