A hydrogen sample is prepared in a particular state A photon of energy `2.55eV` get observed into the sample to take some of the electron in a farther excited state B find the quantum numbers of the state A and B

Explanation

To solve the problem, we need to determine the quantum numbers of the initial state A and the final state B of the hydrogen atom after absorbing a photon of energy 2.55 eV.

### Step-by-Step Solution:

1. **Understand the Energy Levels of Hydrogen:**
The energy levels of a hydrogen atom can be calculated using the formula:
\[
E_n = -\frac{13.6 \, \text{eV}}{n^2}
...