The speeds of four particles are $2, 3, 4,$ and $5 \, cm/s$ respectively. What will be their $rms$ speed?

At $27 \ ^oC$,the ratio of $rms$ velocities of ozone to oxygen is

The $r.m.s.$ velocity of a certain gas is $v$ at $300 \ K$. The temperature,at which the $r.m.s.$ velocity becomes double,is ............... $K$.

The root mean square speeds at $STP$ for the gases $H_2, N_2, O_2$ and $HBr$ are in the order

If the kinetic energy of $O_2$ gas is $4.0 \ kJ \ mol^{-1}$,its $RMS$ speed in $cm \ s^{-1}$ is

Which of the following statement$(s)$ is (are) correct regarding the root mean square speed $(U_{rms})$ and average translational kinetic energy $(\varepsilon_{av})$ of a molecule in a gas at equilibrium?
$(1)$ $U_{rms}$ is doubled when its temperature is increased four times
$(2)$ $\varepsilon_{av}$ at a given temperature does not depend on its molecular mass
$(3)$ $U_{rms}$ is inversely proportional to the square root of its molecular mass
$(4)$ $\varepsilon_{av}$ is doubled when its temperature is increased four times