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Q.

Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to 4.00×10-2 kg/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 is (take π2 = 10):

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a

45.3

b

50 Hz

c

30 Hz

d

62.3 Hz

answer is C.

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Detailed Solution

P = 12μω2A2vusing v = Tμ⇒ω = 2PA2Tμf = ω2π = 12π2PA2Tμusing data f = 30 Hz.
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