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For gas at a temperature T the root-mean...

For gas at a temperature `T` the root-mean-square speed `v_(rms)`, the most probable speed `v_(mp)`, and the average speed `v_(av)` obey the relationship

A

`V_(mp)gtV_(av)gtV_(ms)`

B

`V_(ms)gtV_(av)gtV_(mp)`

C

`V_(av)gtV_(mp)gtV_(ms)`

D

`V_(mp)gtV_(ms)gtV_(av)`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(rms)`=`sqrt((3kT)/(m)),V_(av)=sqrt((8kT)/(pim))`
`V_(mp)=sqrt((2KT)/(m))`
`therefore V_(ms)gtV_(av)gtV_(amp)`
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