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Question

Question: If mass of He atom is 4 times that of hydrogen atom then mean velocity of He is...

If mass of He atom is 4 times that of hydrogen atom then mean velocity of He is

A

2 times of H-mean value

B

1/2 times of H-mean value

C

4 times of H-mean value

D

Same as H-mean value

Answer

1/2 times of H-mean value

Explanation

Solution

vav1Mv_{av} \propto \frac{1}{\sqrt{M}}ŽvHevH=MHMHe=14=12vHe=vH2\frac{v_{He}}{v_{H}} = \sqrt{\frac{M_{H}}{M_{He}}} = \sqrt{\frac{1}{4}} = \frac{1}{2} \Rightarrow v_{He} = \frac{v_{H}}{2}