(a) Find the energy of the ground state (n = 1) and the first two excited states of a proton in a one-dimensional box of length L = 10-15 m = 1 fm. (These are the order of magnitude of nuclear energies.) Make an energy-level diagram for this system and calculate the wavelength of electromagnetic radiation emitted when the proton makes a transition from

(b) n = 2 to n = 1,

(c) n = 3 to n = 2,

(d) n = 3 to n = 1.