An electron is excited from the ground state to n=5 in a hydrogen atom. Decide if the following statements are true or false.
1. The wavelength of light emitted when the electron falls to the ground state from n=5 will be the same as the wavelength of light absorbed to go from the ground state to n=5.
2. For n=5 the electron is in an excited state.
3. The electron is closer to the nucleus on average in the n=5 state than in the n=1 state.
4. It takes less energy to ionize the electron from n=5 state than from the ground state.
5. The wavelength of light emitted if the electron drops from n=5 to n=4 will be shorter than the wavelength of light emitted when the electron falls from n=5 to n=3.