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Question

Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to 4.00×102kg/m. If the source can deliver a maximum power of 90 W and the string is under a tension of 100 N, then the highest frequency at which the source can operate it, is (take π2=10)


A
45.3 Hz
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B
50 Hz
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C
30 Hz
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D
62.3 Hz
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Solution

The correct option is B 30 Hz
P=12μω2 A2V       using V=TμP=12ω2 A2Tμω=2PA2Tμ,f=ω2π=12π2PA2Tμ
Using the given data, we get f = 30 Hz.

Physics

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