In a sample of 300 hydrogen atoms in the n = 5 state, all the atoms return to the n = 2 state. i) Calculate the number of possible photon energies that will be emitted. Assume that all possible transitions occur. ii) Assuming that all possible downward transitions are equally probable, calculate the number of photons that will be emitted in each transition.

In a sample of 300 hydrogen atoms in the n = 5 state, all the atoms return to the n = 2 state. i) Calculate the number of possible photon energies that will be emitted. Assume that all possible transitions occur. ii) Assuming that all possible downward transitions are equally probable, calculate the number of photons that will be emitted in each transition.