The ratio between the root mean square velocity of $H_2$ at $50 \ K$ and that of $O_2$ at $800 \ K$ is

Identify the correct labels of $A$,$B$,and $C$ in the following graph from the options given below.
Root mean square speed $(V_{rms})$; most probable speed $(V_{mp})$; Average speed $(V_{av})$

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

At $256 \ K$,the $rms$ speed of $SO_2$ gas molecules is $3.16 \times 10^2 \ ms^{-1}$. What is the most probable velocity (in $ms^{-1}$) of the same gas at the same temperature?

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?

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 $ms^{-1}$?