N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is ${\mathrm{v}}^{2}$ and the mean square of x component of the velocity of molecules of gas A is ${\mathrm{w}}^{2}$. The ratio is $\frac{{\mathrm{w}}^{2}}{{\mathrm{v}}^{2}}$is

1.  $1$

2.  $2$

3.  $\frac{1}{3}$

4.  $\frac{2}{3}$

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