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The ratio of the velocity of sound in hy...

The ratio of the velocity of sound in hydrogen gas to that in helium gas at the same temperature is

A

`sqrt((21)/(5))`

B

`sqrt((42)/(25))`

C

`sqrt((42)/(15))`

D

`sqrt((43)/(23))`

Text Solution

Verified by Experts

The correct Answer is:
B
`V = sqrt((gammaRT)/(M_(w)))`
`(V_(H_(2)))/(V_(He))= sqrt((gamma_(H_(2)))/(gamma_(He))xx(M_(He))/(M_(H_(2))))`
`= sqrt((7)/(5)xx(4)/((5)/(3)xx2)) = sqrt((42)/(55))`
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