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:

The root mean square velocity of a gas molecule is proportional to:

The r.m.s. velocity of $CO_2$ at a temperature $T$ (in kelvin) is $x \ cm \ s^{-1}$. At what temperature (in kelvin), the r.m.s. velocity of nitrous oxide would be $4 x \ cm \ s^{-1}$ (in $T$)? (Atomic weights of $C, N$ and $O$ are respectively $12, 14$ and $16$)

Explain the following terms:
$(i) u_{mp}$
$(ii) u_{av}$
$(iii) \overline{u}^2$
$(iv) u_{rms}$

Explain the effect of the mass of a molecule on the Maxwell-Boltzmann speed distribution.

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