An unknown element is found to have an absorption spectrum with lines at 3.0, 7.0, and 9.0eV, and its ionization energy is 10.0eV. (a) If a 9.0eV photon is absorbed, what energies can the subsequently emitted photons have? (b) What wavelength photon would be needed to ionize this element in its ground state and give the ejected electron a kinetic energy 10eV?