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Velocity of sound measured at a given te...

Velocity of sound measured at a given temperature in oxygen and hydrogen is in the ratio -

A

`4:1`

B

`1:4`

C

`1:1`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
A

Speed of sound in a gas is `v=sqrt((gammaRT)/(M))`
where the symbols have their usual meaning.
Since both oxygen and hydrogen are diatomic gases and at same temperature
`therefore (v_(O_(2)))/(v_(H_(2)))=sqrt((M_(H_(2)))/(M_(O_(2))))=sqrt((2)/(32))=(1)/(4)`
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