A mixture of two gasses A and B is kept in a vessel which is...

A mixture of two gasses $A$ and $B$ is kept in a vessel which is maintained at a temperature& $T$. In the vessel there are $N$ molecules each of mass $m$, of the gas $A$ and $2N$ molecules each of mass $2m$ of the gas $B$. The mean square velocity of the molecules of the gas& $B$ is& $v^{2}$ and the mean square velocity of the molecules of the gas& $A$ along the $x$ direction is $w^{2}$. The value of $\dfrac{w2}{v2}$& is