According to Statement
1: In diatomic molecule the rotational energy at a given temperature obeys Maxwell's distribution is correct.
But, according to Statement
2: In diatomic molecule, the rotational energy at a given temperature equals translational energy for each molecule is false.
Because kinetic energy
(KE) of gaseous molecule is
KBT.
where,
f is the degree of freedom, and
f( diatomic atom
)=5=[3 (translational) and 2 (rotational)]
Therefore, translational
KE of gas
=KBT . . . (i)
and rotational
KE of gas
=2∕2KBT=KBT . . . (ii)
∵ Eq. (i) is not equal to Eq. (ii)
Hence, option (c) is the correct.