If `N_(B)` is the number of bonding electron and `N_(A)` is the number of antibonding electrons of a molecules. Then choose the incorrect statement(s) for the relationship , `N_(B)gtN_(A)`"

Options

A. Molecule may be stable or unstable
B. Molecule may have any integral, frational or zero value of bond order
C. Molecule is only paramagnetic species
D. Molecule does not exist

Explanation

To solve the problem, we need to analyze the relationship between bonding electrons (N_B) and antibonding electrons (N_A) in a molecule, particularly focusing on the implications of the condition \( N_B > N_A \).

### Step-by-Step Solution:

1. **Understanding Bonding and Antibonding Electrons**:
- Bonding electrons are those that occupy molecular orbitals that stabilize the molecule, while antibonding electrons occupy orbitals that destabilize it.
- The bond order can be calculated using the formula:
\[ \text{Bond Order} = \frac{N_B - N_A}{2} \]
- If \( N_B > N_A \), the bond order will be positive.

2. **Implications of Positive Bond Order**:
- A positive bond order indicates that the molecule is likely to be stable. Therefore, the statement that "the molecule may be stable or unstable" is correct, as it can be stable with a positive bond order.

3. **Evaluating the Statements**:
- **Statement B**: "The molecule may have integral, fractional, or zero value of bond order."
- Since \( N_B > N_A \), the bond order cannot be zero. It can only be integral or fractional. Thus, this statement is incorrect.

- **Statement C**: "The molecule is only paramagnetic in nature."
- A molecule can be either paramagnetic or diamagnetic depending on the presence of unpaired electrons. Therefore, this statement is also incorrect.

- **Statement D**: "The molecule does not exist."
- Since \( N_B > N_A \) results in a positive bond order, the molecule must exist. Thus, this statement is incorrect as well.

4. **Conclusion**:
- The incorrect statements based on the relationship \( N_B > N_A \) are B, C, and D.

### Final Answer:
The incorrect statements are B, C, and D.