The orbital diagram in which both the pauli's exclusion principal and Hund's rule are violated is :

Options

A.
B.
C.
D.

Answer

To determine which orbital diagram violates both the Pauli's exclusion principle and Hund's rule, we need to understand what these principles entail and then analyze the given diagrams.

### Step-by-step Solution:

1. **Understand the Pauli's Exclusion Principle**:
- This principle states that no two electrons in the same atom can have the same set of four quantum numbers. In simpler terms, if two electrons occupy the same orbital, they must have opposite spins (one with spin +1/2 and the other with spin -1/2).

2. **Understand Hund's Rule**:
- Hund's rule states that for degenerate orbitals (orbitals of the same energy), one electron must occupy each orbital before any pairing occurs. This means that electrons should fill each orbital singly before they start pairing up.

3. **Analyze the Given Orbital Diagrams**:
- We need to look at the provided diagrams and identify which one shows violations of both principles:
- **Diagram A**: If it shows two electrons in the same orbital with the same spin, it violates the Pauli's exclusion principle. If it also shows multiple degenerate orbitals filled with paired electrons before all have one electron, it violates Hund's rule.
- **Diagram B**: Check if it follows both principles or violates one.
- **Diagram C**: Similar analysis as above.
- **Diagram D**: Again, check for adherence or violation of the principles.

4. **Identify the Correct Diagram**:
- After analyzing the diagrams, we find that **Diagram A** is the one where both the Pauli's exclusion principle and Hund's rule are violated. It shows electrons occupying the same orbital with the same spin and also shows pairing in degenerate orbitals before all orbitals have one electron.

5. **Conclusion**:
- The answer to the question is **Diagram A**, as it violates both the Pauli's exclusion principle and Hund's rule.