The constant `gamma` of oxygen as well as for hydrogen is 1.40. If the speed of sound in oxygen is `470 ms^-1,` What wil be the speed in hydrogen at the same temperature and pressure?

Options

A. 940 m/s
B. 1053m/s
C. 1260 m/s
D. 1880 m/s

Answer

D

Explanation

`V=sqrt((gammaRT)/(M)) alpha(1)/(sqrt(M))`
`(V_(H_(2)))/(V_(O_(2)))=sqrt((M_(O_(2)))/(M_(H_(2))))=sqrt((32)/(2)=(4)/(1)`
`V_(H_(2))=4xx470=1880m//s`.