AIIMS 2018 Physics Degrees of Freedom Assertion Reason Question

The assertion is true because each vibrational mode of a molecule indeed contributes two degrees of freedom, corresponding to the potential and kinetic energy associated with the vibration. However, the reason is false; while the law of equipartition of energy states that each degree of freedom contributes $\frac{1}{2}kT$ to the energy, it applies to translational and rotational modes, not specifically to vibrational modes, which contribute $kT$ per mode at higher temperatures due to zero-point energy considerations. Options A and B are incorrect because they assert that the reason correctly explains the assertion, which it does not, and option D is incorrect as both statements are not false.