Consider a hydrogen-like sample of gas whose energy in the n t h excited state is given by E n = - 13.6 Z 2 n 2 eV . When the electron makes transitions from an excited state to the ground state, the most energetic photons can have energy E m a x = 52.224 eV and the least energetic photons can have energy E m i n = 1.224 eV . If the atomic number of the atom and the state of excitation are Z and n respectively, then