A : The angle subtended at the eye by an object is equal to the angle subtended at the eye by the virtual image produced by a magnifying glass so the magnification produced is one.
R : During image formation through magnifying glass, the object as well as its image are at the same position.

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 analyze the given assertion and reason, we can break down the problem step by step:

### Step 1: Understanding the Assertion
The assertion states that the angle subtended at the eye by an object is equal to the angle subtended at the eye by the virtual image produced by a magnifying glass, which implies that the magnification produced is one.

### Step 2: Understanding Magnification
Magnification (M) is defined as the ratio of the angle subtended by the image (β) to the angle subtended by the object (α). Mathematically, it is expressed as:
\[ M = \frac{\beta}{\alpha} \]
If the assertion claims that these angles are equal, then:
\[ \beta = \alpha \]
This would imply:
\[ M = \frac{\alpha}{\alpha} = 1 \]

### Step 3: Evaluating the Assertion
In reality, when using a magnifying glass, the angle subtended by the virtual image (β) is greater than the angle subtended by the object (α). Therefore, the magnification produced by a magnifying glass is greater than 1, typically ranging from about 5 to 10 for simple magnifying glasses. Thus, the assertion is incorrect.

### Step 4: Understanding the Reason
The reason states that during image formation through a magnifying glass, the object and its image are at the same position. This is misleading. The virtual image produced by a magnifying glass is not at the same position as the object; rather, it appears to be located behind the lens at a distance where the eye can see it comfortably. Hence, the reason is also incorrect.

### Step 5: Conclusion
Both the assertion and the reason are incorrect. Therefore, the correct answer is that both statements are false.

### Final Answer:
Both the assertion and reason are incorrect.

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