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Choose the correct relation between the rms speed `(V_(rms))` of the gas molecules and the velocity of sound in that gas `(V_(s))` in identical situations of pressure and temperature.

A

`V_(ms)=V_(s)`

B

`V_(ms)=sqrt((3/gamma))^(v_(s))`

C

`C.V_(rms)=sqrt((gamma/3))^(v_(s))`

D

`gammav_(rms)=3V_(s)`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(rms)=sqrt(((3RT)/(m)))`and `V_(s)=sqrt(((gammaRT)/(m))`
`therefore V_(rms)=sqrt(((3)/(gamma))V_(s)`
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