At what temperature $K$ will the $rms$ speed of $SO_2$ gas be equal to the $rms$ speed of $O_2$ gas at $303 \ K$?

At what temperature will the $RMS$ velocity of sulphur dioxide $(SO_2)$ molecules at $400 \ K$ be the same as the most probable velocity of oxygen $(O_2)$ molecules (in $K$)?

Among the following,identify the gas which has the greatest average speed of its molecules?

For $1 \ mol$ of a gas,the average kinetic energy is $E$. Then the root mean square velocity $U_{rms}$ of the gas is:

Give the formulas for the following:
$(i)$ Average speed of molecules $(u_{av})$
$(ii)$ Most probable speed $(u_{mp})$
$(iii)$ Root mean square speed $(u_{rms})$

If $r_1, r_2$ and $r_3$ represent the most probable speeds of three different gases at the same temperature as shown in the figure,with molar masses $M_1, M_2$ and $M_3$ respectively,what is the correct order of the molar masses of these gases?