N molecules each of mass m of a gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel which is maintained at temperature T. The mean square velocity of molecules of B type is v² and the mean square rectangular component of the velocity of A type is denoted by ${\mathrm{\omega }}^2$. Then $\frac{{\mathrm{\omega }}^2}{{\mathrm{v}}^2}$: