Below is a energy level scheme of a hypothetical one-electron element Mathematicum. The potential energy is taken to be zero for an electron at an infinite distance from the nucleus. The definition of the ground state is n = 1. What will happen to the atom if a photon of energy of 20 eV strikes a Mathematicum atom in its ground state? Explain. An 18-eV photon is absorbed by a Mathematicum atom in the ground state. As the atom returns to the ground state, what possible energies can the emitted photons have? Assume there can be transitions between all pairs of levels, including sub-transitions back to the ground state. What will happen to the atom if a photon of energy of 5 eV strikes a Mathematicum atom in its ground state? Explain. What will happen to the atom if a photon of energy of 15 eV strikes a Mathematicum atom in its ground state? Explain. Photons emitted in the Mathematicum transitions n = 4 to n = 2 and n = 3 to n = 1 will eject photoelectrons from a certain metal, but the photons emitted from the transitions n = 4 to n = 3 will not. What are the limits (minimum and maximum values) of the Work function of the metal? Could the work function be 6.0 eV?