Using Bohr's postulates, obtain the expression for the total energy of the electron in the stationary states of the hydrogen atom. Hence draw the energy level diagram showing how the line spectra corresponding to Balmer series occur due to transition between energy levels.

Explanation

To derive the expression for the total energy of the electron in the stationary states of the hydrogen atom using Bohr's postulates, we will follow these steps:

### Step 1: Equate Electrostatic Force and Centripetal Force
The electron in a hydrogen atom moves in a circular orbit around the nucleus due to the electrostatic force between the positively charged nucleus and the negatively charged electron. According to Coulomb's law, the electrostatic force \( F \) is given by:

\[ F = \frac{k \cdot e^2}{r^2} \]
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