The ends of a stretched wire of length $L$ are fixed at $x = 0$ and $x = L$. In one experiment the displacement is $y_1 = A\sin(\pi x/L)\sin(\omega t)$ and the energy is $E_1$; in another experiment the displacement is $y_2 = A\sin(2\pi x/L)\sin(2\omega t)$ and the energy is $E_2$. Then