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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 `300 K` is.

A

`sqrt((2//7))`

B

`sqrt((1//7))`

C

`(sqrt(3))//5`

D

`(sqrt(6))//5`

Text Solution

Verified by Experts

The correct Answer is:
B
`c=sqrt((gammaRT)/(m_0)),C_(N_2)=sqrt(((1//5)RT)/(28)), C_(HR)=sqrt(((5//3)RT)/(4)))`
`C_(N_2)/V_(H_e)=sqrt((7xx3xx4)/(28xx5xx5))=sqrt3/5`
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