Statement 1: `H_(2)` molecule is more stable than `H_(2)-He` molecule
Statement 2: The antibonding electron in `H_(2)-He` molecule destabilizes. It.

Options

A. Statement-1 is true, Statement-2 is also true, Statement -2 is the correct explanation of statement-2
B. Statement -1 is true , Statement 2 is also true, Statement-2 is not the correct ezplanation of Statement-2
C. Statement-1 is true, Statement-2 is false.
D. Statement-1 is false, Statement-2 is true.

Explanation

To analyze the statements regarding the stability of the H₂ molecule compared to the H₂-He molecule, we will follow these steps:

### Step 1: Understanding Molecular Orbitals
- **H₂ Molecule**: The H₂ molecule consists of two hydrogen atoms, each contributing one electron. When these atomic orbitals combine, they form one bonding molecular orbital (σ1s) and one antibonding molecular orbital (σ*1s). The electronic configuration for H₂ is:
- Bonding electrons: 2 (in σ1s)
- Antibonding electrons: 0 (in σ*1s)

- **He₂ Molecule**: The He₂ molecule consists of two helium atoms, each contributing two electrons. The electronic configuration for He₂ is:
- Bonding electrons: 2 (in σ1s)
- Antibonding electrons: 2 (in σ*1s)

### Step 2: Calculating Bond Order
- **Bond Order Formula**: The bond order can be calculated using the formula:
\[ \text{Bond Order} = \frac{1}{2} (\text{Number of Bonding Electrons} - \text{Number of Antibonding Electrons}) \]

- **For H₂**:
\[ \text{Bond Order} = \frac{1}{2} (2 - 0) = 1 \]

- **For He₂**:
\[ \text{Bond Order} = \frac{1}{2} (2 - 2) = 0 \]

### Step 3: Stability of Molecules
- A bond order of 1 for H₂ indicates that it is a stable molecule with one bond.
- A bond order of 0 for He₂ indicates that it is unstable and does not exist as a molecule.

### Step 4: Evaluating Statements
- **Statement 1**: "H₂ molecule is more stable than H₂-He molecule."
- This statement is true because H₂ has a bond order of 1 (stable), while H₂-He (or He₂) has a bond order of 0 (unstable).

- **Statement 2**: "The antibonding electron in H₂-He molecule destabilizes it."
- This statement is also true because the presence of two electrons in the antibonding molecular orbital (σ*1s) leads to a bond order of 0, indicating instability.

### Conclusion
Both statements are true, and the second statement correctly explains the first.

### Final Answer
Both Statement 1 and Statement 2 are true.

---