Assertion Image formed by a convex mirror can never be real.
Reason Convex mirror is diverging in nature.

Options

A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is true.

Explanation

To solve the assertion-reason question, we need to analyze both the assertion and the reason provided.

### Step 1: Analyze the Assertion
The assertion states that "the image formed by a convex mirror can never be real."

- **Understanding Convex Mirrors**: Convex mirrors are known for producing virtual images when a real object is placed in front of them. This is because the light rays that strike the mirror diverge, and the extensions of these diverging rays appear to originate from a point behind the mirror.

- **Conclusion on Assertion**: The assertion is incorrect because while convex mirrors typically form virtual images for real objects, they can form real images if the object is virtual. Therefore, the assertion is false.

### Step 2: Analyze the Reason
The reason states that "a convex mirror is diverging in nature."

- **Understanding Diverging Nature**: Convex mirrors are indeed diverging mirrors. They cause parallel rays of light that strike the mirror to diverge away from the principal axis. This is a fundamental property of convex mirrors.

- **Conclusion on Reason**: The reason is correct as it accurately describes the nature of convex mirrors.

### Step 3: Determine the Relationship Between Assertion and Reason
- Since the assertion is false and the reason is true, we can conclude that the assertion does not support the reason.

### Final Conclusion
- The assertion is false, and the reason is true. Therefore, the correct answer to the question is option D: Assertion is false, and Reason is true.