The ground state energy of hydrogen atom is −13.6 eV. The energy needed to ionize hydrogen atom from its second excited state will be [2023]
(3)
The energy of nth state in the hydrogen atom will be En=-13.6 eVn2
For n=3; E3=-13.6 eV9=-1.51 eV
So, ionization energy will be, -(-1.51) eV=1.51 eV