If at same temperature and pressure, the densities for two diatomic gases are respectively `d_(1) and d_(2)` , then the ratio of velocities of sound in these gases will be

Options

A. `sqrt((rho_(2))/(rho_(1)))`
B. `sqrt((rho_(1))/(rho_(2)))`
C. `rho_(1)rho_(2)`
D. `sqrt(rho_(1)rho_(2))`

Answer

A

Explanation

`P_(1)=P_(2)`
`(1)/(3)rho_(1)C_(1)^(2)=(1)/(3) rho_(2)C_(2)^(2)`
`((C_(1))/(C_(2)))^(2)=(rho_(2))/(rho_(1))" "therefore (C_(1))/(C_(2))=sqrt((rho_(2))/(rho_(1)))`