At temperature T,N molecules of a gas A,each having mass m and at the same temperature,2N molecules of gas B each having mass 2m are filled in a container .$V_{RMS}$ of molecules of B is $V^2$ and $x$ component of $V_{RMS}$ of A is $\omega^2$.$\large\frac{\omega^2}{V^2}$ is

Question

$\begin{array}{1 1}(A)\;1\\(B)\;2\\(C)\;\large\frac{1}{3}\\(D)\;\large\frac{2}{3}\end{array} $