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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

`sqrt((3))/(5)`

D

`sqrt(6)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`because V_(sound) = sqrt((gammaRT)/(M_(W)))`
`therefore (V_(N_(2)))/(V_(He)) = sqrt((gamma_(N_(2)))/(M_(N_(2)))xx (M_(He))/(gamma_(He))) = sqrt((7)/(5) xx (1)/(28) xx (4)/(1) xx (3)/(5))= sqrt(3)/(5)`
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