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At what tempreature will the velocity of...

At what tempreature will the velocity of sound in air be double the velocity of sound in air at `0^(@)C`?

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Let `T^(@)C` be the required temperature. Let `v_(1)` and `v_(2)` be the velocity of sound at temperatures `T_(1)K` and`T_(2)K` respectively. `T_(1)273K(0^(@)C)` and `T_(2)=(T^(@)C+273)K`
`(v_(2))/(v_(1))=sqrt((273+T)/(273))=2`
Here it is given that, `v_(2)//v_(1)=2`
So, `(273+T)/(273)=4`
`T=(273xx4)-273=819^(@)C`
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