Q.

A string has a linear mass density μ  of 62.5  gm1   and is stretched with a tension T  of 49 N. A wave of frequency 125 Hz and amplitude 9 mm, is travelling along the string. At what average rate (in watt) is the wave transporting energy through the string? (Round off to nearest integer)

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answer is 44.

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Detailed Solution

ω=2πf=2π(125)=785rads-1 υ=Tμ=49N0.0625 kgm-1=28 ms-1 P=12μω2υA2 P=12×0.0625×7852×28×(9×103)2 P=43.7W

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