Using Rutherford's model of the atom, derive the expression for the total energy of the electron in hydrogen atom. What is the significance of total negative energy possessed by the electron?

Explanation

To derive the expression for the total energy of the electron in a hydrogen atom using Rutherford's model, we can follow these steps:

### Step 1: Understand Rutherford's Model
Rutherford's model describes the atom as having a small, dense nucleus at the center with electrons revolving around it in orbits, similar to planets around the sun. The nucleus contains protons and neutrons, while electrons are negatively charged particles.

### Step 2: Apply Centripetal Force
According to Rutherford's model, the centripetal force required to keep the electron in a circular orbit is provided by the electrostatic force of attraction between the positively charged nucleus and the negatively charged electron.

...