At what temperature will the average speed of $CH_4$ molecules have the same value as $O_2$ has at $300 \ K$ ........... $K$

Which of the following has maximum root mean square velocity at the same temperature?

For one mole of a monoatomic gas (molar mass $= M$),the root mean square velocity is $U_{rms}$. What is the relationship between the average kinetic energy $(E)$ and $U_{rms}$?

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

At what temperature (in $K$) is the $rms$ velocity of $SO_2$ molecules equal to the $rms$ velocity of $O_2$ molecules at $27^{\circ} C$?

If the distribution of molecular speeds of a gas is as per the figure shown below,then the ratio of the most probable,the average and the root mean square speeds,respectively,is