Assume that there is no repulsive force between the electrons in an atom but the force between positive and negative charges is given by Coulomb's law as usual . Under such circumtences, calculate the ground state energy of a He-atom.

Explanation

To calculate the ground state energy of a helium atom under the assumption that there is no repulsive force between the electrons, we can follow these steps:

### Step 1: Understanding the Helium Atom
A helium atom (He) has 2 protons and 2 electrons. The atomic number \( Z \) for helium is 2. The nucleus has a positive charge of \( +2e \) (where \( e \) is the elementary charge), and each electron has a charge of \( -e \).

### Step 2: Coulomb's Law
According to Coulomb's law, the potential energy \( V \) between two point charges is given by:
\[
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