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The root mean square velocity of one mol...

The root mean square velocity of one mole of a monoatomic gas having molar mass M is `V_(r.m.s)`. The relation between the average kinetic energy (E) of the gas and `V_(r.m.s)` is :

A

`U_(rms) =sqrt((3E)/(2M))`

B

`U_(rms)=sqrt((2E)/(3M))`

C

`U_(rms) =sqrt((2E)/(M))`

D

`U_(rms)=sqrt((E )/(3M))`

Text Solution

Verified by Experts

`U_(rms) =sqrt((3RT)/(M), KE =(3)/(2) RT`
`therefore U_(rms) =sqrt((2E)/(M))`
Hence, (C ) is the correct answer.
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