(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 0.2 nm (about the diameter of a H2 molecule). 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.