JEE Main & Advanced Physics Kinetic Theory of Gases Sample Paper Topic Test - Kinetic Theory of Gases

At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at \[47{}^\circ C\]?

A) 80 K

B) 3 K

C) - 73 K

D) 20 K

Correct Answer: D

Solution :

[d] \[{{v}_{H}}={{v}_{o}}\]

\[\Rightarrow \] \[\sqrt{\frac{3RT}{{{M}_{H}}}}=\sqrt{\frac{3R(47+273)}{{{M}_{o}}}}\]

\[\Rightarrow \] \[\frac{T}{I}=\frac{320}{16}\Rightarrow \,T=20\,K\]