Which of the following statements about optical microscope is/are correct? 1. Both the eyepiece and objective of a microscope are convex lenses. 2. The magnification of a microscope increases with increase in focal length of the objective. 3. The magnification of a microscope depends upon the length of the microscope tube. 4. The eyepiece of a microscope is a concave lens. Select the correct answer using the code given below.
- A.1 and 3
- B.3 only
- C.3 and 4
- D.1,2 and 4
Show answer
Explanation
The correct answer is A, 1 and 3. A compound microscope uses two convex lenses, and its magnification depends on the tube length.
The objective is a convex lens of very short focal length that forms a real, enlarged image of the specimen. The eyepiece is also a convex lens and works like a magnifying glass on that image. The total magnification is roughly (L/fo) × (D/fe), where L is the tube length, D is 25 cm, the least distance of distinct vision, and fo and fe are the focal lengths of the objective and eyepiece. So a longer tube gives more magnification, while a longer focal length gives less.
B is wrong: statement 3 is true, but statement 1 is also true, so 3 alone is incomplete.
C is wrong: statement 4 is false, because the eyepiece is convex, not concave.
D is wrong: statement 2 is false, since magnification falls as the objective's focal length rises, and statement 4 is false as well.
Exam tip: microscope = two convex lenses, objective of short focal length; telescope objective has a long focal length.