4. (20pt) The particle on a ring is a useful model for the motion of electrons around the porphine ring (see below). We may treat the group as a circular ring of radius 440pm, with 20 electrons in the conjugated system moving along the perimeter of the ring. We assume that in the ground state of the molecule, each quantized energy level is occupied by two electrons. SKETCH AN ENERGY LEVEL DIAGRAM OF THE MOLECULE, SHOWING THE OCCUPATION OF THE LEVELS BY ELECTRONS. A) Calculate the energy and angular momentum of an electron in the highest occupied level. B) Calculate the frequency AND wavelength of radiation that can induce a transition between the highest occupied and lowest unoccupied energy levels