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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

Verified by Experts

The correct Answer is:
C
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