According to MOT, two atomic orbitals overlap resulting in the formation of molecular orbital formed. Number of atomic orbitals overlapping together is equal to the molecule orbital formed. The two atomic orbital thus formed by LCAO (linear combination of atomic orbital) in the phase or in the different phase are known as bonding and antibonding molecular orbitals respectively. The energy of bonding molecular orbital is lower than that of the pure atomic orbitals by an amount `Delta`. This known as the stabilization energy. The enerby of antibonding molecular orbital in increased by `Delta'` (destabilisation energy).
Q. Which of the following statement(s) is true:

Options

A. Higher the bond order lesser the bond length.
B. Higher the bond order greater the bond length.
C. Higher the bond order lesser the bond energy.
D. Higher the bond order lesser the number of bonds

Explanation

To determine which statements about bond order, bond length, and bond energy are true, we will analyze each statement based on the principles of molecular orbital theory (MOT).

### Step-by-Step Solution:

1. **Understanding Bond Order**:
- Bond order is defined as the number of bonds between two atoms in a molecule. It can be calculated as:
\[ \text{Bond Order} = \frac{(\text{Number of bonding electrons} - \text{Number of antibonding electrons})}{2} \]
- A higher bond order indicates a stronger bond and typically correlates with a shorter bond length.

2. **Analyzing the Statements**:
- **Statement 1**: "Higher the bond order, lesser the bond length."
- **Analysis**: This statement is true. As bond order increases, the atoms are held closer together, resulting in a shorter bond length.

- **Statement 2**: "Higher the bond order, greater the bond length."
- **Analysis**: This statement is false. A higher bond order means more bonds, which results in shorter bond lengths.

- **Statement 3**: "Higher the bond order, lesser the bond energy."
- **Analysis**: This statement is false. Higher bond order corresponds to stronger bonds, which means greater bond energy.

- **Statement 4**: "Higher the bond order, lesser the number of bonds."
- **Analysis**: This statement is false. Bond order is directly related to the number of bonds; a higher bond order indicates more bonds.

3. **Conclusion**:
- The only true statement is: "Higher the bond order, lesser the bond length."

### Final Answer:
- The true statement is: "Higher the bond order, lesser the bond length."