JEE MAIN - Physics (2025 - 28th January Evening Shift - No. 8)
The ratio of vapour densities of two gases at the same temperature is $ \frac{4}{25} $, then the ratio of r.m.s. velocities will be :
$ \frac{5}{2} $
$ \frac{25}{4} $
$ \frac{4}{25} $
$ \frac{2}{5} $
Explanation
$$\begin{aligned}
&\frac{\rho_1}{\rho_2}=\frac{4}{25}\\
&\text { Ratio of rms velocities }=\sqrt{\frac{\rho_2}{\rho_1}}=\frac{5}{2}
\end{aligned}$$
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