Calculate the speed of sound in hydrogen at N.T.P., if density of hydrogen at N.T.P. is `1//16^(th)` of air. Given that the speed of sound in air is 332 m/s.

Options

A. 664 m/s
B. 332 m/s
C. 1328 m/s
D. `332 xx sqrt2 m//s`

Answer

C

Explanation

`v_(a) = sqrt((gamma p)/(rho_(a))) and v_(H) = sqrt((gammap)/(rho_(H)))`
`:. (v_(H))/(v_(a)) = sqrt((rho_(a))/(rho_(H))) = sqrt16 = 4`
`:. V_(H) = 332 xx 4 = 1328 m//s`