Q. At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio
A) $16\ :1$
B) $1\ :16$
C) $4\ :1$
D) $1\ :4$
Explanation
(d) $v_{rms} \propto \frac{1}{\sqrt{M}};so\ \frac{\left( v_{rms} \right)_{O_{2}}}{\left( v_{rms} \right)_{H_{2}}} = \sqrt{\frac{M_{H_{2}}}{M_{O_{2}}}} = \sqrt{\frac{2}{32}} = 1:4$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.