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The pressure wave, P = 0.01 sin[1000t-3x...

The pressure wave, `P = 0.01 sin[1000t-3x]Nm^(-2)`, corresponds to the sound produced by a vibrating blabe on a day when a atmospheric temperature si `0^(@)C`. On some other day when temperature is T, the speed of sound produced by the same blade and at the same frequency is found to be `336 ms^(-1)`. Approximate value of T is :

A

`12^(@)C`

B

`15^(@)C`

C

`11^(@)C`

D

`4^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
At `0^(@)C, v = (omega)/(K) = (1000)/(3)m//s ". (1000//3)/(336)=sqrt(273)/(273+T) ( :' V prop sqrt(T)) :. T ~~ 277 K = 4^(@)C`
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