Explanation:
It is known that formula for the ionization energy of hydrogen atom is as follows.
E = [tex]\frac{13.6 eV}{n^{2}}[/tex]
or, n = [tex]\sqrt{\frac{13.6}{E}}[/tex]
The value of energy is given as 0.544 eV. Therefore, we will calculate the value of n as follows.
n = [tex]\sqrt{\frac{13.6}{E}}[/tex]
= [tex]\sqrt{\frac{13.6}{0.544 eV}}[/tex]
= 5
Thus, we can conclude that n equals to 5 for a hydrogen atom if 0.544 eV of energy can ionize it.