Match List-I with List-II for convex lens (symbols have their usual meanings)
| List-I | List-II |
| Position of object | Details of image |
| (A) at 2F | (I) \( m \gt 1 \), virtual |
| (B) at F | (II) \( m \lt 1 \), real |
| (C) between lens and F | (III) \( m = 1 \), real |
| (D) between \( \infty \) and 2F | (IV) \( m \gt\gt 1 \), real |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
The nature and magnification of the image of a convex lens depend on where the object is placed, and for a real image \( m = v/u \) in magnitude.
(A) at 2F — this matches (III) \( m = 1 \), real. The image is formed at 2F on the other side, with \( v = u \), so it is real, inverted and of the same size.
(B) at F — this matches (IV) \( m \gt\gt 1 \), real. The refracted rays become parallel, so the image goes to infinity; it is real and the magnification becomes very large.
(C) between lens and F — this matches (I) \( m \gt 1 \), virtual. The lens then acts as a magnifying glass: the image is virtual, erect and enlarged.
(D) between \( \infty \) and 2F — this matches (II) \( m \lt 1 \), real. The image lies between F and 2F, is real, inverted and smaller than the object.