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

Options

A. `sqrt(2//7)`
B. `sqrt(1//7)`
C. `sqrt3//5`
D. `(sqrt6)/(5)`

Answer

C

Explanation

Velocity of sound in gas `v=sqrt((gammaRT)/(M))impliesvpropsqrt((gammaT)/(M))`
`implies(v_(N_2))/(v_(He))=sqrt((gamma_(N_2))/(gamma_(He))xx(M_(He))/(M_(H_2)))=sqrt(((7)/(5)Rxx4)/((5)/(3)Rxx28))=(sqrt3)/(5)`