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At what temperature will the speed of sound in air be 3 times its value at `0^(@)`C?A. `1184^(@)C`B. `1148^(@)C`C. `2184^(@)C`D. `2148^(@)C`

Answer» Correct Answer - C
Speed of sound in air is
`v=sqrt((gammaRT)/M)`
where T is the absolute temperature
Since `gamma` and M are constants
`thereforevpropsqrtT`
`rArr(v_(t)/(v_(o))=sqrt((273+t)/273)rArr(3v_(0))/(v_(0))=sqrt((273+t)/273)`
Squaring both sldes, we get
`9=(273+t)/273or2457=273+tort=2184^(@)C`


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