The Bohr moden does not apply when more than one electron orbit the nucleues because it does not account for the electrostatic force that the electron exert on one another.For instance , an electrically neutral lithium atom `(Li)` contains three electrons in orbit around a nucleus that includes three protons `(Z = 3)`, and Bohr's model can be used for the doubly charged positive ion of lithium `(Li^(2)^(+))` that results when two electrons are removed from the neutral atom, leaving only one electron to orbit the nucleus . Obtain the ionization energy that is needed to remove the remaining electron from `(Li^(2)^(+))`

Explanation

To find the ionization energy needed to remove the remaining electron from the doubly charged positive ion of lithium \( Li^{2+} \), we can use the Bohr model formula for the energy levels of hydrogen-like atoms.

### Step-by-Step Solution:

1. **Identify the Atomic Number (Z)**:
- For lithium, the atomic number \( Z = 3 \) because it has 3 protons.

2. **Determine the Electron Configuration**:
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