An electron in a hydrogen atom is excited from the ground state to the n = 5 state. Decide if the following statements are true or false. (a) n = 5 is the first excited state. (b) It takes more energy to ionize (remove) the electron from n = 5 than from the ground state. (c) The electron is farther from the nucleus (on average) in n = 5 than in the ground state. (d) The wavelength of light emitted when the electron drops from n = 5 to n = 1 is longer than that from n = 5 to n = 2. (e) The wavelength the atom absorbs in going from n = 1 to n = 5 is the same as that emitted as it goes from n = 5 to n = 1.