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. `(sqrt(3))//5`
D. `(sqrt(6))//5`

Answer

B

Explanation

`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`