Which of the following pairs will diffuse at the same rate through a porous plug?

The root mean square (rms) speed of $X_2$ gas is $x \ m/s$ at a given temperature. When the temperature is doubled,the $X_2$ molecules dissociate completely into atoms. The root mean square speed of the sample of gas then becomes (in $m/s$):

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 $16$)

Match the following (where $U_{rms}$ = root mean square speed,$U_{av}$ = average speed,$U_{mp}$ = most probable speed)

List-$I$	List-$II$
$(a)$ $U_{rms} / U_{av}$	$(i)$ $1.22$
$(b)$ $U_{av} / U_{mp}$	$(ii)$ $1.13$
$(c)$ $U_{rms} / U_{mp}$	$(iii)$ $1.08$

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 given figure shows the Maxwell distribution of molecular speeds of a gas at three different temperatures $T_1$,$T_2$ and $T_3$. The correct order of temperature is