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.

$C.$ $A$ monoatomic gas molecule has $1$ rotational degree of freedom where as diatomic molecule has $2$ rotational degrees of freedom

$D$ $CH _{4}$ has a total to $6$ degrees of freedom Choose the correct answer from the option given below:

  • A$B$ and $C$ only
  • B$B$ and $D$ only
  • C$A$ and $B$ only
  • D$C$ and $D$ only
JEE MAIN 2022, Diffcult
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