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The ratio of the speed of sound in nitro...

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300K is

A

`sqrt(2//7)`

B

`sqrt(1//7)`

C

`sqrt3//5`

D

`sqrt6//5`

Text Solution

Verified by Experts

The correct Answer is:
C
Speed of sound in gas
`v=sqrt((gammaRT)/(M))impliesvprop sqrt((gamma)/M), (v_(N_2))/(v_(He))=sqrt((r_(N_2))/(M_(N_2)).(M_(He))/(r_(He)))`
`implies (v_(N2))/(v_(He))=sqrt((7/5 xx4)/(5/3xx28))=sqrt3/5`
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