The ratio among most probable velocity,mean v | vedclass

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Question

(D) Most probable velocity,$U_{MP} = \sqrt{\frac{2RT}{M}}$Average velocity,$U_{avg} = \sqrt{\frac{8RT}{\pi M}}$Root mean square velocity,$U_{RMS} = \s

Vedclass · Accepted Answer

$\sqrt{2} : \sqrt{8/\pi} : \sqrt{3}$

Vedclass · Answer

(D) Most probable velocity,$U_{MP} = \sqrt{\frac{2RT}{M}}$Average velocity,$U_{avg} = \sqrt{\frac{8RT}{\pi M}}$Root mean square velocity,$U_{RMS} = \sqrt{\frac{3RT}{M}}$Taking the ratio $U_{MP} : U_{avg} : U_{RMS}$:$= \sqrt{\frac{2RT}{M}} : \sqrt{\frac{8RT}{\pi M}} : \sqrt{\frac{3RT}{M}}$$= \sqrt{2} : \sqrt{\frac{8}{\pi}} : \sqrt{3}$Hence,option $D$ is correct.

The ratio among most probable velocity,mean velocity and root mean square velocity is given by

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