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Question

A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produced on a wire stretched to a tension of 100 N. If the wave speed is 100 m/s. What average power is the source transmitting to the wire ?

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Solution

Speed of wave=100m/s=v=Tμ
μ=Tv2=0.01kg/m
Power transmitted to the wire=P=12μω2A2v
=12×0.01×(2π×100)2×0.00052×100W
=49mW

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