A hydrogen atom is excited from its ground state to the state with n = 4. (a) How much energy must be absorbed by the atom? Consider the photon energies that can be emitted by the atom as it de-excites to the ground state in the several possible ways. (b) How many different energies are possible, what are the (c) highest, (d) second highest, (e) third highest, (f) lowest, (g) second lowest, and (h) third lowest energies?

Explanation

(a) 12.8 eV, (b) 6, (c) 12.8 eV, (d) 12.1 eV, (e) 10.2 eV, (f) 0.661 eV, (g) 1.89 eV, (h) 2.55 eV