Explanation:
Formula for energy value is as follows.
E = [tex]\frac{-E_{0}}{n^{2}}[/tex]
where, [tex]E_{0}[/tex] = 13.6
n = number of shell
So, at ground state energy of hydrogen atom will be as follows.
E = [tex]\frac{-E_{0}}{n^{2}}[/tex]
= [tex]\frac{-13.6}{(1)^{2}}[/tex]
= -13.6
Hence, for an ionized atom value of energy will be as follows.
E' = [tex]-13.6 \times Z^{2}[/tex]
or, E' = [tex]E \times Z^{2}[/tex]
Thus, we can conclude that total energy of the remaining electron in the ionized atom is [tex]E \times Z^{2}[/tex].
