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The temperature at which speed of sound ...

The temperature at which speed of sound in air becomes double of its value at 27°C is:

A

`54^(@)C`

B

`327^(@)C`

C

`927^(@)C`

D

`1000^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
We know `v prop sqrt(T)`.
`v_(1)/v_(2) = sqrt(T_(1)/T_(2)), v_(1)/(2v_(1)) = sqrt(300/T_(2))`
`1/4 = 300/T_(2)` or, `T_(2) =1200 K = 1200 - 273 = 927^(@) C`
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