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 omega t)` and energy `E_(1)` and in another experiment, its displacement is `y_(2) = a sin ((3pi x)/(l)) (sin 3 omega t)` and energy is `E_(2)` then

Options

A. `E_(2) = E_(1)`
B. `E_(2) = 3E_(1)`
C. `E_(2) = (E_(1))/3`
D. `E_(2) = 9E_(1)`

Answer

D