`STATEMENT-1` A convex lens may be diverging
`STATEMENT -2` The nature of a lens depends upon the refractive incides fo the material of lens and surrounding medium besides geometry.

Options

A. Statement-I is true , Statement -II is true, Statement-II is correct explanation for Statement-I.
B. Statement - I is true, Statement -II is true: Statement -II is NOT a correct explanation for statement -I .
C. Statement-I is true, Statement-II is false.
D. statement-I is false, statement- II is true.

Answer

To solve the question regarding the nature of a convex lens and its dependence on the refractive indices, we can break down the statements and analyze them step by step.

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- Statement 1 claims that "A convex lens may be diverging."
- A convex lens is typically known as a converging lens. However, this statement suggests that under certain conditions, a convex lens can behave as a diverging lens.

**Hint**: Consider the conditions under which a convex lens might diverge light instead of converging it.

2. **Understanding Statement 2**:
- Statement 2 states that "The nature of a lens depends upon the refractive indices of the material of the lens and surrounding medium besides geometry."
- This statement is true because the behavior of a lens (whether it converges or diverges light) is influenced by the refractive index of both the lens material and the medium in which it is placed.

**Hint**: Think about how the refractive index affects light behavior at the interface of different materials.

3. **Analyzing the Conditions**:
- A convex lens will converge light when it is in a medium with a lower refractive index than the lens itself (e.g., air, where the refractive index is approximately 1).
- If the lens is placed in a medium with a higher refractive index (e.g., water or another liquid), the lens can behave as a diverging lens because the light rays will bend away from the normal upon entering the lens.

**Hint**: Visualize how light rays behave when they pass from one medium to another with different refractive indices.

4. **Conclusion**:
- Since Statement 1 is correct under the condition that the lens is in a medium with a higher refractive index than the lens material, it can indeed act as a diverging lens.
- Statement 2 accurately explains why Statement 1 is true, as it highlights the importance of refractive indices in determining the nature of the lens.

**Final Answer**: Therefore, both statements are true, and Statement 2 is a correct explanation of Statement 1.

### Summary:
- **Statement 1**: True (A convex lens can diverge under certain conditions).
- **Statement 2**: True (The nature of a lens depends on refractive indices and geometry).