If I is the moment of inertia of a rigid diatomic molecule, then calculate the angular mean square velocity of a rotating molecule in the gas sample, if the temperature is T. (k = Boltzmann constant)

Given, Diatomic gas is at temperature T. Rotational kinetic energy = 2 ×kT2 Because diatomic gas has two degrees of rotationRotational Kinetic energyKErot=12Iω2⇒12Iω2=2kT2⇒12Iω2=kT⇒Iω2=2kT⇒ω2=2kTI∴ω=2kTI