Q 11-14-013NEETJEE MainEasy
The ratio of the speed of sound in hydrogen to that in oxygen at the same temperature is (both are diatomic)
Answer: (A) $4 : 1$
Concept. $v = \sqrt{\dfrac{\gamma RT}{M}}$; with the same $\gamma$ and $T$, $v \propto \dfrac{1}{\sqrt M}$.
Step 1. Ratio.
$$\frac{v_H}{v_O} = \sqrt{\frac{32}{2}} = 4$$
Answer. $4 : 1$ (Option A).
Solution by Sreeraj P, M.Sc Physics