Calculate (i) First excitation energy of the electron in the hydrogen atom. (ii) Ionization energy of the hydrogen atom

Explanation

To solve the problem of calculating the first excitation energy and the ionization energy of the hydrogen atom, we will follow these steps:

### Step 1: Understanding the Energy Levels of Hydrogen Atom
The energy of an electron in a hydrogen atom is given by the formula:
\[ E_n = -\frac{2 \pi^2 m e^4}{n^2 h^2} \]
Where:
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