The $rms$ velocity of molecules of a gas of density $4 \ kg \ m^{-3}$ and pressure $1.2 \times 10^{5} \ Nm^{-2}$ is (in $ms^{-1}$)

The temperature at which $RMS$ velocity of $SO_2$ molecules is half that of $He$ molecules at $300 \ K$ is ............... $K$.

The density ratio of $O_2$ and $H_2$ is $16 : 1$. The ratio of their $V_{rms}$ is

If the most probable speed of $CO_2$ at $27^{\circ} C$ is $400 \ ms^{-1}$,the root mean square velocity of $CO_2$ at the same temperature in $ms^{-1}$ is approximately:

Amongst the following, which should have the highest $rms$ speed at the same temperature?

Molecular velocities of two gases at the same temperature $(T)$ are $u_{1}$ and $u_{2}$. Their masses are $m_{1}$ and $m_{2}$ respectively. Which of the following expressions is correct at temperature $T$?