Under the same conditions of termperature and pressure the velocity of sound in oxygen and hydrogen are `v_(O) and v_(H)`. Then

Options

A. `v_(O)=4v_(H)`
B. `v_(H)=4v_(O)`
C. `v_(O)=v_(H)`
D. `v_(H)=16v_(O)`

Answer

B

Explanation

Under the same conditions of temperature and pressure, the velocities of sound in different gases are inversely proportional to the square root of their densities.
`therefore (v_(H))/(v_(0))=sqrt((rho_(0))/(rho_(H)))=sqrt((16)/(1))`
Since density of oxygen `(rho_(0))` is 16 times that of hydrogen `(rho_(H))`,
`therefore v_(H)=4v_(0)`.