The rms velocity of a gas molecule of mass $m$ at a given temperature is proportional to

At a certain temperature,the $r.m.s.$ velocity for ${O_2}$ is $400\, m/sec.$ At the same temperature,the $r.m.s.$ velocity for ${H_2}$ molecules will be ....... $m/sec$.

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

The temperature at which the rms speed of molecules in hydrogen gas will be double of its initial value at $27^{\circ} C$ is (in $^{\circ} C$)

What is $v_{rms}$? Write the equation of $v_{rms}$ in terms of: $(1)$ density,$(2)$ mass of a molecule,$(3)$ molar mass.

If $V_H, V_N$,and $V_O$ represent the $rms$ speeds of hydrogen,nitrogen,and oxygen molecules at a given temperature,respectively,then which of the following is correct?