Calculate the ratio of energies of `He^(+)` for `1^(st) & 2^(nd)` excited state.

Explanation

To calculate the ratio of energies of the helium ion \( \text{He}^+ \) for the first and second excited states, we follow these steps:

### Step 1: Identify the Energy Formula
The energy of an electron in a hydrogen-like atom is given by the formula:
\[ E_n = -\frac{13.6 \, Z^2}{n^2} \, \text{eV} \]
where:
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