A flask contains argon and chlorine in the ratio of 2 : 1 by mass. The temperature of the mixture is $27^\circ C$. The ratio of root mean square speed of the molecules of the two gases $\left(\frac{v_{rms}^{Ar}}{v_{rms}^{Cl}}\right)$ is: (Atomic mass of argon = 40.0 u and molecular mass of chlorine = 70.0 u)
A $\frac{\sqrt{7}}{2}$
B $\frac{7}{2}$
C $\frac{7}{4}$
D $\frac{2}{\sqrt{7}}$