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(D) The root mean square $(r.m.s.)$ velocity of gas molecules is given by the formula: ${v_{rms}} = \sqrt{\frac{3RT}{M}}$ where $R$ is the universal g

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Inversely proportional to the square root of molecular weight

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(D) The root mean square $(r.m.s.)$ velocity of gas molecules is given by the formula: ${v_{rms}} = \sqrt{\frac{3RT}{M}}$ where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass (molecular weight) of the gas. From this expression,it is clear that for a given temperature $T$,the $r.m.s.$ velocity is inversely proportional to the square root of the molecular weight $(M)$. Therefore,${v_{rms}} \propto \frac{1}{\sqrt{M}}$.

At a given temperature,the $r.m.s.$ velocity of molecules of a gas is

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