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:
A
Speed of sound in an ideal gas is given by `V=sqrt((gammaRT)/M)` `V prop sqrt((gamma)/M)` [T is same for the gasses] `(V_(N_(2)))/(V_(He))=sqrt((gamma_(N_(2)))/(gamma_(He))xx(M_(H_(2)))/(M_(N_(2))))=sqrt(((7//5))/((5//3))(4/28)) =sqrt(3)//5` `gamma_(N_(2))=7//5` (Diatomic) `gamma_(He)=5//3` (monoatomic)
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