Physics - Modern Physics Question with Solution | TestHub

Consider a hydrogen-like sample of gas whose energy in the$n^{th}$state is given by$E_n=\frac{-13.6Z^2}{n^2}$$\mathrm{eV}$. When the electron makes transitions from an excited state to the ground state, most energetic photons can have energy$E_{max}=52.224$$\mathrm{eV}$and the least energetic photons can have energy$E_{min}=1.224$$\mathrm{eV}$. The atomic number of the atom and the state of excitation are respectively