Calculate the ionization energy of hydrogen atom using Bohr's theory.

The ionization energy of a hydrogen atom is the energy required to remove the electron from the atom in its ground state (n = 1). According to Bohr’s theory, the energy levels of an electron in a hydrogen atom are quantized and given by the formula:

\[
E_n = - \frac{13.6 \, \text{eV}}{n^2}
\]

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