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The ends of a stretched wire of length '...

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 `y_(1) = A "sin"(pi x)/(L) sin wt` and the energy is `E_(1)` and in another experiment its displacement is `y_(2)=A "sin" (2pi x)/(L) sin 2 wt` and the energy `E_(2)` then

A

`E_(2) = E_(1)`

B

`E_(2) = 2E_(1)`

C

`E_(2) = 4E_(1)`

D

`E_(2) = 16E_(1)`

Text Solution

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The correct Answer is:
C
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