Question- An electron in a hydrogen atom is excited from the ground state to the n=5 state. Decide whether the following statements are true or false?
A. n=5 is the first excited state
B. It take more energy to ionize (remove) the electron from n=5 then from the ground state
C. The electron that is farther from the nucleus (on average) is 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 that emitted as it goes from n=5 to n=1
It is not a question in the book, so I just need the full solution of deriving!