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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

Answer»

`V//2`
`V//sqrt(5)`
`sqrt(7)V`
`V//sqrt(7)`

Solution :`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)))`


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