The speeds of the seven molecules are $1, 3, 5, 7, 2, 4$ and $6 \text{ km/s}$ respectively. The ratio of their r.m.s. velocity and average velocity will be

At what temperature $(^oC)$ is the average speed of hydrogen molecules equal to the average speed of oxygen molecules at $31^oC$?

If the $r.m.s.$ velocity of a gas at a given temperature (Kelvin scale) is $300 \ m/s$,what will be the $r.m.s.$ velocity of a gas having twice the molecular weight and half the temperature on the Kelvin scale?

If a gas is compressed isothermally,then the r.m.s. velocity of its molecules

The curve between absolute temperature $T$ and ${v^2}_{rms}$ is

$N$ molecules of gas $A$,each having mass $m$,and $2N$ molecules of gas $B$,each of mass $2m$,are contained in the same vessel at a constant temperature $T$. The mean square velocity of $B$ is $V^2$ and the mean square of the $x$-component of $A$ is $\omega^2$. The value of $\frac{\omega^2}{V^2}$ is