Q 11-12-046JEE MainJEE Main 2024 (6 Apr, Shift 1)Easy
A sample contains a mixture of helium and oxygen gas. The ratio of the root mean square speeds of helium and oxygen in the sample is
Answer: (B) $\dfrac{2\sqrt2}{1}$
In a mixture both gases are at the same temperature, so $v_{rms} \propto \dfrac{1}{\sqrt M}$:
$$\frac{v_{He}}{v_{O_2}} = \sqrt{\frac{32}{4}} = \sqrt8 = 2\sqrt2$$
Solution by Sreeraj P, M.Sc Physics