A hydrogen atom in an excited state can be ionized with less energy than when it is in its ground state. What is n for a hydrogen atom if 0.544 eV of energy can ionize it?

Explanation:

It is known that formula for the ionization energy of hydrogen atom is as follows.

               E =

or,          n =

The value of energy is given as 0.544 eV. Therefore, we will calculate the value of n as follows.

                   n =

                      =

                      = 5

Thus, we can conclude that n equals to 5 for a hydrogen atom if 0.544 eV of energy can ionize it.

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