please help a-e with explaination

51 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) The n=4 state 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. (c) 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