Q. If the ratio of vapour density for hydrogen and oxygen is $\frac{1}{16},$ then under constant pressure the ratio of their $rms$ velocities will be
A) $\frac{4}{1}$
B) $\frac{1}{4}$
C) $\frac{1}{16}$
D) $\frac{16}{1}$
Explanation
(a) $v_{rms} = \sqrt{\frac{3p}{\rho}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{\rho_{2}}{\rho_{1}}} = \sqrt{\frac{16}{1}} = \frac{4}{1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.