Match List-I with List-II
| List-I | List-II | ||
| (magnification (m) of optical instruments) | (Image) | ||
| (A) | \( |m| \gt 1 \) | (I) | same size as the object |
| (B) | \( |m| \lt 1 \) | (II) | magnified |
| (C) | \( |m| = 1 \) | (III) | virtual and erect |
| (D) | +m | (IV) | diminished |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A) - (II), (B) - (IV), (C) - (I), (D) - (III)
Magnification is the ratio of image height to object height. Its magnitude tells the size of the image and its sign tells the nature: with the usual sign convention, a positive m means an erect, virtual image and a negative m an inverted, real image.
\( \displaystyle m = \frac{h'}{h} \)
(A) \( |m| \gt 1 \) — this matches (II) magnified. The image is taller than the object.
(B) \( |m| \lt 1 \) — this matches (IV) diminished. The image is shorter than the object.
(C) \( |m| = 1 \) — this matches (I) same size as the object. Image and object heights are equal.
(D) +m — this matches (III) virtual and erect. A positive magnification means the image has the same orientation as the object, which for a single mirror or lens happens only for a virtual image.