Which statements are correct about degrees of | vedclass

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(B) Statement $A$ is incorrect because energy is stored in each degree of freedom independently,not as $n^2$.Statement $B$ is correct according to the

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$B$ and $D$ only

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(B) Statement $A$ is incorrect because energy is stored in each degree of freedom independently,not as $n^2$.Statement $B$ is correct according to the Law of Equipartition of Energy,which states that each degree of freedom contributes $\frac{1}{2} RT$ per mole to the internal energy.Statement $C$ is incorrect because a monoatomic gas molecule has $0$ rotational degrees of freedom,while a diatomic molecule has $2$ rotational degrees of freedom.Statement $D$ is correct. $CH_{4}$ is a non-linear polyatomic molecule. The total degrees of freedom $f$ for a non-linear molecule with $N$ atoms is $3N$. For $CH_{4}$,$N=5$,so $f = 3 	imes 5 = 15$. However,if we consider rigid molecules at moderate temperatures,the degrees of freedom are $3$ (translational) $+ 3$ (rotational) $= 6$. Thus,$D$ is considered correct in the context of rigid body dynamics.Therefore,$B$ and $D$ are the correct statements.

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