A : The image formed by a concave lens is always virtual.
R : The rays emerging from a concave lens never meet on the principal axis.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
C. If Assertion is true statement but Reason is false, then mark (3).
D. If both Assertion and Reason are false statements, then mark (4).

Answer

To solve the question, we need to analyze the statements given about the concave lens and determine their validity.

### Step-by-Step Solution:

1. **Understanding the Image Formation by a Concave Lens**:
- A concave lens is a diverging lens, meaning it spreads out light rays that are initially parallel (such as those coming from a distant object).
- When parallel rays of light enter a concave lens, they diverge after passing through the lens.

2. **Virtual Image Formation**:
- The rays that emerge from the concave lens appear to diverge from a point behind the lens. This point is where the virtual image is formed.
- Since the rays do not actually converge but only appear to do so when extended backward, the image is virtual.

3. **Analyzing Statement A**:
- The statement "The image formed by a concave lens is always virtual" is **true**. This is because a concave lens cannot produce a real image; it only creates virtual images that cannot be projected onto a screen.

4. **Understanding Ray Behavior**:
- The second statement discusses the behavior of rays emerging from a concave lens. It states, "The rays emerging from a concave lens never meet on the principal axis."
- Since the rays diverge, they do not converge at any point on the principal axis. Instead, they appear to originate from a virtual focus on the same side as the object.

5. **Analyzing Statement R**:
- The statement "The rays emerging from a concave lens never meet on the principal axis" is also **true**. The rays diverge and do not converge at any point on the principal axis.

6. **Conclusion**:
- Both statements A and R are true, and R correctly explains A. Therefore, the correct option is that both statements are true, and R is the correct reason for A.

### Final Answer:
Both statements are true, and R is the correct explanation for A.

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