Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : For a simple microscope, the angular size of the object equals the angular size of the image.
Reason R : Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle.
In the light of the above statements, choose the most appropriate answer from the options given below :

Options

A. A is true but R is false
B. Both A and R are true but R is NOT the correct explanation of A.
C. Both A and R are true and R is the correct explanation of A
D. A is false but R is true

Answer

To solve the problem, we need to analyze the given Assertion A and Reason R.

### Step-by-Step Solution:

1. **Understanding Assertion A**:
- Assertion A states that "For a simple microscope, the angular size of the object equals the angular size of the image."
- In a simple microscope, the object is placed close to the lens, and the image formed is virtual and enlarged. The angular size of the object is the angle subtended at the eye by the object, and similarly, the angular size of the image is the angle subtended at the eye by the image.

2. **Understanding Reason R**:
- Reason R states that "Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle."
- The reason explains that by placing the object closer than the near point (25 cm), the angle subtended at the eye increases, leading to a larger perceived size of the object.

3. **Analyzing the Relationship**:
- Both the assertion and the reason are correct. The assertion is true because the angular size of the object and the image are indeed equal when viewed through the microscope.
- The reason is also correct as it explains how the magnification is achieved by placing the object closer to the eye, thereby increasing the angle subtended.

4. **Conclusion**:
- Although both statements are true, the reason does not directly explain the assertion. The assertion is about the equality of angular sizes, while the reason discusses how magnification is achieved. Therefore, while both are correct, the reason does not serve as an explanation for the assertion.

### Final Answer:
Both Assertion A and Reason R are correct, but R is not the correct explanation of A.