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 $y_1=A\, sin\bigg(\frac{\pi x}{L}\bigg)sin\, \omega t$ and energy is $E_1$ and in other experiment its displacement is $y_2=A\, sin\bigg(\frac{2\pi x}{L}\bigg)sin\, 2\, \omega\, t$ and energy is $E_2$ .Then