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(D) The root mean square speed $(v_{	ext{rms}})$ of a gas molecule is given by the formula: $v_{	ext{rms}} = \sqrt{\frac{3RT}{M}}$,where $R$ is the

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$\frac{1}{v_{A}} < \frac{1}{v_{B}} < \frac{1}{v_{C}}$

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(D) The root mean square speed $(v_{	ext{rms}})$ of a gas molecule is given by the formula: $v_{	ext{rms}} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.Since the temperature $T$ is the same for all gases in the mixture,$v_{	ext{rms}} \propto \frac{1}{\sqrt{M}}$.Given the masses $m_{A}  v_{B} > v_{C}$.Taking the reciprocal of these speeds,we get: $\frac{1}{v_{A}} < \frac{1}{v_{B}} < \frac{1}{v_{C}}$.

Consider a mixture of gas molecules of types $A, B$,and $C$ having masses $m_{A} < m_{B} < m_{C}$. The ratio of their root mean square speeds at normal temperature and pressure is:

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