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At what temperature, the speed of sound ...

At what temperature, the speed of sound in the air will become double of its value at `27^(@)C`?

A

`54^(@)C`

B

`627^(@)C`

C

`327^(@)C`

D

`927^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B, C
`(v_(1))/(v_(2))=sqrt((T_(1))/(T_(2)))implies(v_(1))/(2v_(1))=sqrt((T_(1))/(T_(2)))`
`(1)/(4)=(27+273)/(T_(2))`
`T_(2)=300xx4=1200K`
`T_(2)=1200-273`
`T_(2)=927^(@)C`
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