An electron in a hydrogen atom is excited from the ground state to the n = 4 state. Comment on the correctness of the following statements (true or false).
(a) n = 4 is the first excited state.
(b) It takes more energy to ionize (remove) the electron from n = 4 than from the ground state.
(c) The electron is farther from the nucleus (on average) in n = 4 than in the ground state.
(d) The wavelength of light emitted when the electron drops from n = 4 to n = 1 is longer than that from n = 4 to n = 2.
(e) The wavelength the atom absorbs in going from n = 1 to n = 4 is the same as that emitted as it goes from n = 4 to n = 1.