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

Answer

B

Explanation

Speed of sound in gases is given by
`v_("sound")=sqrt((gammap)/(p)) rArr (v_(1))/(v_(2))=sqrt((p_(2))/(p_(1)))=sqrt((d_(2))/(d_(1)))`