The speed of sound in hydrogen at STP is `V`. The speed of sound in a mixture containing `3` parts of hydrogen and `2` parts of oxygen at STP will be

Options

A. `V//2`
B. `V//sqrt(5)`
C. `sqrt(7)V`
D. `V//sqrt(7)`

Answer

D

Explanation

`rho_(mix)=(rho_(1)V_(1)+rho_(2)V_(2))/(V_(1)+V_(2))`, `(rho_(1))/(rho_(2))=(M_(1))/(M_(2))=(2)/(32)`
`V prop (1)/(sqrt(rho))implies(Vmix)/(V)=sqrt((rho)/(rho_(mix)))=sqrt((rho_(1))/(7rho_(1)))`