Given below are two statements: one is labeled as Assertion A and the other is labeled 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:
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:
- (A)Both and are true and is the correct explanation of
- (B)Both and are true but is NOT the correct explanation of ✓ Correct
- (C) is false but is true
- (D) is true but is false
Answer: (B)
Solution
For a simple microscope (magnifying glass), the object is placed within the focal length, creating a virtual, magnified, erect image at the near point (25 cm). The angular size of the image as seen through the lens equals the angular size of the object at its actual position. Magnification occurs because the object can be placed much closer to the eye than 25 cm (the least distance of distinct vision), allowing it to subtend a larger angle. Both A and R are true, and R correctly explains A.
JEE Main · 2021 · 26 Feb 2021 · Shift 2 · Single correct option