The average speed of $H_2$ at $T_1 \ K$ is equal to that of $O_2$ at $T_2 \ K$. The ratio $T_1: T_2$ is

In the Maxwell-Boltzmann distribution of molecular speeds shown below,which of the following is correct regarding the most probable speed $(U_{M.P.})$ at temperatures $T_1$ and $T_2$?

The ratio of root mean square velocity of hydrogen at $50 \, K$ to that of nitrogen at $500 \, K$ is closest to

The distribution of molecular velocities of three gases of molar masses $M_1$,$M_2$,and $M_3$ at $T(K)$ are shown below. The correct relation of their molar masses is:

$A$ gas bulb of $1 \ L$ capacity contains $2.0 \times 10^{21}$ molecules of nitrogen gas at a pressure of $7.57 \times 10^3 \ N \ m^{-2}$. Calculate the root mean square speed in $cm \ sec^{-1}$. (in $.5$)

Helium diffuses four times faster than which of the following?