Statement-1:Light nuclei having equal number of protons and neutrons are more stable
Statement-2:In heavy nuclei, there is an excess of neutrons due to comlomb repulsion between protons .

Options

A. Statement-1 is True , Statement-2 is True ,Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True , Statement-2 is True ,Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True , Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To analyze the given statements regarding the stability of light and heavy nuclei, let's break down the reasoning step by step.

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- The statement claims that light nuclei with an equal number of protons and neutrons are more stable.
- In light nuclei, the strong nuclear force, which binds protons and neutrons together, can effectively counteract the repulsive force between protons (since they are positively charged).
- When the number of protons equals the number of neutrons, the attractive strong nuclear force is maximized relative to the repulsive forces, leading to greater stability.

**Conclusion**: Statement 1 is **True**.

**Hint**: Consider the balance between strong nuclear forces and electrostatic repulsion in light nuclei.

2. **Understanding Statement 2**:
- This statement posits that in heavy nuclei, there is an excess of neutrons due to Coulomb repulsion between protons.
- As the number of protons increases in heavy nuclei, the repulsive electrostatic force between these positively charged protons also increases.
- To maintain stability, additional neutrons are required to provide sufficient strong nuclear force to counteract this increased repulsion. Neutrons do not contribute to repulsion, hence their presence helps stabilize the nucleus.

**Conclusion**: Statement 2 is **True**.

**Hint**: Think about how the forces within the nucleus change as the number of protons increases in heavier nuclei.

3. **Independence of Statements**:
- While both statements are true, they are independent of each other. The stability of light nuclei does not rely on the behavior of heavy nuclei, and vice versa.
- Therefore, Statement 2 does not serve as a correct explanation for Statement 1.

**Conclusion**: Statement 2 is not a correct explanation for Statement 1.

**Hint**: Reflect on the concept of independence in scientific statements and how one does not necessarily explain the other.

### Final Answer:
- **Option B**: Statement 1 is true, Statement 2 is true, but Statement 2 is not a correct explanation for Statement 1.