Find the ratio of energies of photons produced due to transition of electron of hydrogen atom form its (i) second permitted energy level to the first level (ii) highest permitted energy level to the first permitted level.

Explanation

To find the ratio of energies of photons produced due to the transition of an electron in a hydrogen atom from different energy levels, we can follow these steps:

### Step 1: Understand the Energy Levels of Hydrogen Atom
The energy levels of a hydrogen atom can be expressed using the formula:
\[ E_n = -\frac{R_H}{n^2} \]
where:
- \( E_n \) is the energy of the nth level,
- \( R_H \) is the Rydberg constant (approximately \( 13.6 \, \text{eV} \)),
...