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Speed of sound in hydrogen is 4 times th...

Speed of sound in hydrogen is 4 times the speed of sound in oxygen. Explain.

Text Solution

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We know, `v prop sqrt(1/rho), therefore v_(H)/v_(O) = sqrt(rho_(O)/rho_(H))`
As the density of oxygen is 16 times the density of hydrogen
`therefore v_(H)/v_(O) = sqrt((16rho(H))/rho_(H)) = 4`
i.e. speed of sound in hydrogen is four times the speed of sound in oxygen.
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