A finite size object is placed normal to the principal axis at a… | JEE Main 2025 (4 Apr, Shift 2)

Q14JEE Main 2025 · 4 APR · SHIFT 2Difficult

Reflection & Mirrors

A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm. A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each other. The distance between the two mirrors is:

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Answer: (d)

Convex mirror, $f = +30$ , $u = -30$ : $\frac{1}{v} = \frac{1}{30} + \frac{1}{30} \Rightarrow v = +15\text{ cm}$ (behind the mirror).
Object to this image: $30 + 15 = 45\text{ cm}$ .
A plane mirror forms its image as far behind as the object is in front, so it must sit midway: $22.5$ cm from the object.
Distance between mirrors $= 30 - 22.5 = 7.5\text{ cm}$ . So the answer is (d) 7.5 cm.

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