The correct order of I.`E_(2)`. Is:

Options

A. NegtFgtOgtN
B. OgtFgtNegtN
C. NegtOgtFgtN
D. OgtNegtFgtN

Explanation

To determine the correct order of second ionization energies (I.E.₂) for the elements neon (Ne), fluorine (F), oxygen (O), and nitrogen (N), we need to analyze their electronic configurations and the factors affecting ionization energy.

### Step-by-Step Solution:

1. **Identify the Electronic Configurations**:
- Neon (Ne): 1s² 2s² 2p⁶
- Fluorine (F): 1s² 2s² 2p⁵
- Oxygen (O): 1s² 2s² 2p⁴
- Nitrogen (N): 1s² 2s² 2p³

2. **Understand Ionization Energy (I.E.)**:
- The second ionization energy (I.E.₂) refers to the energy required to remove a second electron after the first one has been removed.
- Factors affecting I.E. include atomic size and electronic configuration stability. Smaller atomic size typically leads to higher I.E. due to increased nuclear attraction on the remaining electrons.

3. **Consider Stability of Electronic Configurations**:
- A stable electronic configuration (fully filled or half-filled) requires more energy to remove an electron.
- After the first ionization, the configurations become:
- Ne: 1s² 2s² 2p⁶ (remains stable)
- F: 1s² 2s² 2p⁴ (removes one electron from a stable configuration)
- O: 1s² 2s² 2p³ (removes one electron from a stable configuration)
- N: 1s² 2s² 2p² (removes one electron from a stable configuration)

4. **Analyze the Size and Stability**:
- Neon has the smallest size after ionization but remains stable with a full outer shell.
- Oxygen, after losing one electron, achieves a half-filled p subshell, which is relatively stable.
- Fluorine, after losing one electron, has a less stable configuration than oxygen.
- Nitrogen, after losing one electron, has a less stable configuration compared to oxygen and fluorine.

5. **Determine the Order of I.E.₂**:
- Neon will have the highest I.E.₂ due to its stable full shell and small size.
- Oxygen will follow due to its half-filled p subshell.
- Fluorine will come next, as it has a smaller size than nitrogen but a less stable configuration.
- Nitrogen will have the lowest I.E.₂ due to its larger size and less stable configuration.

6. **Final Order**:
- The correct order of I.E.₂ is: Ne > O > F > N

### Conclusion:
The correct order of second ionization energies is Neon (Ne) > Oxygen (O) > Fluorine (F) > Nitrogen (N).