In some situations, the behavior of an electron can be approximated as if the electron were bound to an equilibrium position by a spring force (F = -kx, U = kx²/2). Suppose such an electron were in the first excited state, with a wave function y(x) = Ax(e^-ax²), where A is a constant and a = √km / 2ħ. In this equation, x represents the distance of the electron from its equilibrium position.(a) Find the energy of the electron in terms of the spring constant k and its mass m.(b) If the electron behaved like a classical oscillating particle, the largest value of x would be xm. Find xm in terms of k and m.(c) Sketch a drawing that shows the probability to find the electron as a function of x in the range -∞ to +∞. Indicate where xm would appear on your sketch.(d) Explain the meaning the probability when x>xm.