An electron is in an infinite one-dimensional square well of width L = 0.12 nm.

a. First, assume that the electron is in the lowest energy eigenstate of the well (the ground state). What is the energy of the electron?
b. What is the wavelength that is associated with this eigenstate?
c. What is the probaility that the electron is located within the region between x = 0.048 nm and x = 0.072 nm?
d. Now, assume the electron is in the energy eigenstate that is the closest in energy to that of the ground state. What is the probability that the electron in this state is located within the region between x = 0.048 nm and x = 0.072 nm?