AIIMS 2019 Physics Root Mean Square Velocity Assertion Reason Question

Option B is correct because both the assertion regarding the relationship between the root mean square (rms) velocity and the speed of sound, $V_{\text{rms}} = \sqrt{\frac{3}{\gamma}} V_{\text{sound}}$, and the reason linking the rms velocity to the mean velocity, $V_{\text{mean}} = 0.92 V_{\text{rms}}$, are true. However, the reason does not directly explain the assertion, as the speed of sound is influenced by factors such as temperature and molecular mass, while the mean velocity is a statistical measure of molecular motion.

Option A is incorrect because, although both statements are true, the reason does not provide a correct explanation for the assertion. Options C and D are incorrect because they misrepresent the truth of the assertions and reasons provided. Understanding these relationships helps clarify the kinetic theory of gases and the behavior of sound in different media.