Amongst the following, which should have the highest $rms$ speed at the same temperature?

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

If a gas contains only three molecules that move with velocities of $100, 200, 500 \ ms^{-1}$. What is the rms velocity of that gas in $ms^{-1}$?

Molecular velocities of two gases at the same temperature $(T)$ are $u_{1}$ and $u_{2}$. Their masses are $m_{1}$ and $m_{2}$ respectively. Which of the following expressions is correct at temperature $T$?

Which of the following is correct regarding molecular speeds?

Which one of the following statements is $NOT$ true about the effect of an increase in temperature on the distribution of molecular speeds in a gas?