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((d_(2))/(d_(1)))`
B. `sqrt((d_(1))/(d_(2)))`
C. `d_(1)d_(2)`
D. `sqrt(d_(1)d_(2))`

Answer

A

Explanation

At constant T and P
`vprop(1)/(sqrt(rho)), (v_(1))/(v_(2))=sqrt((d_(2))/(d_(1)))`