Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to 4.00 X 10−2kg/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)

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45.3 Hz

50 Hz

30 Hz

62.3 Hz

answer is C.

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Detailed Solution

P=12μω2A2V using V=Tμ. P=12ω2A2Tμω=2PA2Tμ,f=ω2π=12π2PA2Tμ. Using the given data, we get f = 30 Hz.

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