The temperature of the gas is raised from $27\,^oC$ to $927\,^oC$. The root mean square velocity is:

The $RMS$ velocity of dihydrogen $(H_2)$ is $\sqrt{7}$ times more than that of dinitrogen $(N_2)$. If $T_{H_2}$ and $T_{N_2}$ are the temperatures of dihydrogen and dinitrogen respectively, then the correct relationship between them is:

The ratio among most probable velocity,mean velocity and root mean square velocity is given by

If a gas contains only three molecules that move with velocities of $100, 200, 500 \ ms^{-1}$. What is the rms velocity of that gas in $ms^{-1}$?

At $300 \ K$ the average velocity of a gas is $3 \times 10^2 \ cm / s$. The average velocity (in $cm / s$) of it at $1200 \ K$ is

The average speed of $CH_4$ molecules at $300 \ K$ is equal to the average speed of $O_2$ molecules at ............ $K$.