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At what temperature the velocity of soun...

At what temperature the velocity of sound in air is 1.5 times the velocity at `7^(@)C` ?

A

`357^(@)C`

B

`476^(@)C`

C

`588^(@)C`

D

`819^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
`v_(1) prop sqrt(T_(1)) and v_(2) prop sqrt(T_(2))`
`(v_(2))/(v_(1)) = sqrt((T_(2))/(T_(1))) " " :. 1.5 = sqrt((T + t)/(280))`
`280 xx 2.25 = 273 + t " " :. T = 357^(@)C`
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