Ionization Energy of Hydrogen – Rankers Physics
Topic: Modern Physics
Subtopic: Atomic Structure

Ionization Energy of Hydrogen

The ground state energy of hydrogen atom is \(-13.6\text{ eV}\). The energy needed to ionize hydrogen atom from its second excited state will be
\(1.51\text{ eV}\)
\(3.4\text{ eV}\)
\(13.6\text{ eV}\)
\(6.8\text{ eV}\)

Solution:

Second excited state corresponds to \(n = 3\). The energy is \(E_3 = -\frac{13.6}{3^2} = -1.51\text{ eV}\). The ionization energy required is \(E_{\text{ion}} = 0 - E_3 = 1.51\text{ eV}\).

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