Answer Happy

please answer parts c d and e .
1. (a) An electron is moving in a thin metal wire of length L. State a quantum mechanical model for this system. Explain your reasoning. (b) Using your model, compute the ground-state energy of the electron for L = 1 cm. Calculate the probability of finding the electron in the region 0 < x < 0.25 cm Sketch this probability on a suitable graph. (c) The length of the wire is now reduced to L=0.1 nm. Compute the 3 lowest energies of the electron. Sketch these energies on an energy level diagram. Find the wavelengths of the photons emitted when the electron makes transitions from the n= 3 energy level. (d) Given that the initial wave function of the electron in the wire is (x,0) = Ax, 0 SXSL Determine the constant A. Hence, find '(x, t). (e) Calculate the probability that the electron is in the energy level E1, Ez and Ez.