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Speed of sound in a gas is v and rms vel...

Speed of sound in a gas is `v` and `rms` velocity of the gas molecules is `c`. The ratio of `v` to `c` is

A

`3/lambda`

B

`lambda/3`

C

`sqrt(3/lambda)`

D

`sqrt(lambda/3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`v_s=(gamma P)/(rho)` and `v_(rms)=sqrt((3P)/(rho))`
`therefore (v_(rms))/(v_s)=sqrt((gamma)/(3))`.
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