The correct order of relative stability of half filled and completely filled sub-shell is

Options

A. `p^(3) gt d^(5) lt d^(10) lt p^(6)`
B. `d^(5) gt p^(3) lt d^(10) lt p^(6)`
C. `d^(5) gt p^(3) gt d^(10) gt p^(6)`
D. `p^(3) lt d^(10) lt d^(5) lt p^(6)`

Explanation

To determine the correct order of relative stability of half-filled and completely filled subshells, we need to analyze the stability of different electron configurations based on the principles of electron filling and stability.

### Step-by-Step Solution:

1. **Understanding Stability of Electron Configurations**:
- Half-filled and fully filled subshells are known to have enhanced stability due to symmetry and exchange energy.
- A half-filled subshell has all orbitals singly occupied before any orbital is doubly occupied, which maximizes the exchange energy.

2. **Identify the Electron Configurations**:
- Let's consider the following configurations:
- \( p^3 \) (half-filled p subshell)
- \( d^5 \) (half-filled d subshell)
- \( d^{10} \) (fully filled d subshell)
- \( p^6 \) (fully filled p subshell)

3. **Order of Stability**:
- A fully filled subshell is generally more stable than a half-filled subshell.
- Among half-filled subshells, \( p^3 \) (which is half-filled) is more stable than \( d^5 \) (which is also half-filled).
- Therefore, the order of stability can be summarized as follows:
- Fully filled \( p^6 \) > Fully filled \( d^{10} \) > Half-filled \( d^5 \) > Half-filled \( p^3 \)

4. **Final Stability Order**:
- Based on the above analysis, the correct order of relative stability is:
- \( p^6 > d^{10} > d^5 > p^3 \)

5. **Conclusion**:
- Thus, the final answer indicating the correct order of relative stability of half-filled and completely filled subshells is:
- \( p^6 > d^{10} > d^5 > p^3 \)