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The velocity of sound in a gas at temper...

The velocity of sound in a gas at temperature `27^@C` is `V` then in the same ahs its velocity will be `2V` at temperature.

A

`54^(@)C`

B

`327^(@)C`

C

`927^(@)C`

D

`108^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
In a gas, `V=sqrt((gammaRT)/M)rArr V alpha sqrt(T)`
`rArr V/(2V)=sqrt(300/T)`
`rArr T=300xx4=1200 K`
`= 927^(@)C`
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