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

Write the degrees of freedom for:
$(i)$ Monoatomic gas
$(ii)$ Diatomic gas

$500 \text{ g}$ of a diatomic gas is enclosed at a pressure of $10^5 \text{ N m}^{-2}$. The density of the gas is $5 \text{ kg m}^{-3}$. The energy of one mole of the gas due to its thermal motion is [consider the gas molecule as a rigid rotator].

Write the degree of freedom for a diatomic rigid rotator.

If the internal energy of $n_1$ moles of $He$ at temperature $10T$ is equal to the internal energy of $n_2$ moles of hydrogen $(H_2)$ at temperature $6T$,find the ratio $\frac{n_1}{n_2}$.

Calculate the degree of freedom of a diatomic gas.