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Question

A 200Hz wave with amplitude 1mm travels on a long string of linear mass density 6 g/m kept under a tension of 60N. The total energy associated with the wave in a 2.0m long portion of the string is?

A
9.4J
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B
9.4mJ
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C
18.8J
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D
18.8mJ
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Solution

The correct option is A 9.4J
A=1mm=103m,m=6g/m=6x103kg/m
T=60N,f=200hz
V=TM=100ms
Pavg=2π2mvA2f2=0.47w
t=2100=0.02sec
Energy=2π2mvA2f2t=9.46j

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