if the velocity of sound in helium at room temperature is 330 m/s, then the velocity of sound in hydrogen is

Options

A. 330 m/s
B. 427.7 m/s
C. 1500 m/s
D. 5900 m/s

Answer

B

Explanation

`v=v=sqrt((gamma RT)/(M))`
`M_("He") = 4, M_(H_(2)) =2, gamma_("He") =(5)/(3), gamma H_(2)=(7)/(5)`
`rArr (V_(H_(2)))/(V_(H_(2)))=sqrt((gamma H_(2)M_("He"))/(gamma HeM_(H_(2)))) rArr (V_(H_(2)))/(330)=sqrt((42)/(25))`
`rArr V_(H_(2)) = 330xx 1.3`
`=427.7 ms^(-1)`