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Q.

The pressure wave, P=0.01sin[1000t3x]Nm2  corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 00C . On the some other day when temperature is T, the speed of sound produced by the same blade and at the same frequency is founds to be 336ms1 . Approximate value of T is (in centigrade scale) 
 

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answer is 4.

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Detailed Solution

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On comparing with P=P0sin(ωtkx), we have 
 ω=1000rad/s,K=3m1v0=ωk=10003=333.3m/sv1v2=T1T2or,333.3336=273+0273+t                              (or)Vt=V0(1+t546)                                                                                            t=4.30Ct=40C
 

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