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 = A sin πx/L sin ωt and energy is E1, and in another experiment its displacement is y2 = A sin 2πx/L sin 2 ωt and energy is E2 . Then :
(a) E2 = E1
(b) E2 = 2 E1
(c) E2 = 4 E1
(d) E2 = 16 E1