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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 `U_(r.m.s.)`. The relation between the average kinetic energy (E ) of the gas and `U_(rms)`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

The correct Answer is:
C
`u_("rms")=sqrt((3RT)/M)and K.E = 3/2 RT`
`u_(rms) =sqrt((2E)/M)`.
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