The electron in an (unbound) hydrogen atom (H(g)) is excited from the ground state to the n=3 state. Which of the following statements are true and which are false. true/false : The electron is closer to the nucleus on average in the n=3 state than in the ground state. true/false : The first excited state corresponds to n=3. true/false : It takes more energy to ionize the electron from n=3 than it does from the ground state. true/false : The wavelength of the light emitted when the electron returns to the ground state from n=3 is the same as the wavelength of light absorbed to go from n=1 to n=3. true/false : The wavelength of light emitted when the electron drops from n=3 to n=2 is longer than the wavelength of light emitted if the electron falls from n=3 to n=1.