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Question

The ends of a stretched wire of length L are fixed at x=0 and x=L In one experiment, the displacement of the wire is y1=Asin (πxL)sin ωt and energy is E1, and in another experiment its displacement is y2=Asin(2πxL)sin 2ωt and energy is E2. Then


A

E2=E1

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B

E2=2E1

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C

E2=4E1

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D

E2=16E1

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Solution

The correct option is C

E2=4E1


Energy(E)(Amplitude)2 (Frequency)2

Amplitude is same in both the cases, but frquency 2ω in the second case is two times the frequency (ω) in the first case.

Hence E2=4E1


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