(C) The root mean square (rms) velocity of gas molecules is given by the formula:$V_{RMS} = \sqrt{\frac{3RT}{M}}$where $R$ is the universal gas consta

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Proportional to the square root of temperature $\sqrt{T}$.

(C) The root mean square (rms) 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 of the gas.From the formula,it is clear that $V_{RMS}$ is directly proportional to the square root of the absolute temperature:$V_{RMS} \propto \sqrt{T}$Therefore,the correct option is $C$.

Class 11 Physics Kinetic Theory Speed (velocity) of Gas (rms, mean and Most probable speed)

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The root mean square velocity of molecules of a gas is

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A
Proportional to the square of temperature $(T^2)$.
B
Inversely proportional to the square root of temperature $\sqrt{1/T}$.
C
Proportional to the square root of temperature $\sqrt{T}$.
D
Proportional to temperature $(T)$.

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The root mean square velocity of molecules of a gas is

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