Q. The velocity of sound I air is $330{ms}^{- 1}$. The rms velocity of air molecules $(\gamma = 1.4)$ is approximately equal to
A) $400\ ms^{- 1}$
B) $471.4\ ms^{- 1}$
C) $231\ ms^{- 1}$
D) $462\ ms^{- 1}$
Explanation
(b) $C_{rms = v}\sqrt{\frac{3}{\gamma}} = 330 \times \sqrt{\frac{3}{1.4}} = 471.4\ ms^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.