The energy of the hydrogen atom in its ground state is -13.6 eV. Determine the energy of the energy level whose quantum number is 2.

Explanation

To determine the energy of the hydrogen atom at the energy level corresponding to the quantum number \( n = 2 \), we can follow these steps:

### Step 1: Understand the Energy Formula
The energy of a hydrogen atom in the nth energy level is given by the formula:
\[ E_n = -\frac{13.6 \, \text{eV}}{n^2} \]
where \( E_n \) is the energy at the nth level and \( n \) is the principal quantum number.
...