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 circumstances, 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-by-Step Solution

1. **Understanding the Helium Atom**:
- The helium atom has 2 protons and 2 electrons. The atomic number \( Z \) for helium is 2, which means the nucleus has a charge of \( +2e \).

2. **Coulomb's Law**:
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