Two objects A and B are placed at 15 cm and 25 cm from the pole in… | JEE Main 2023 (1 Feb, Shift 2)

Q24JEE Main 2023 · 1 FEB · SHIFT 2Medium

Reflection & Mirrors

Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images formed by the mirror is _______________.

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Answer: (c)

$f = -20\text{ cm}$ .
A ( $u = -15$ , inside F): $\frac{1}{v} = -\frac{1}{20} + \frac{1}{15} = \frac{1}{60} \Rightarrow v = +60\text{ cm}$ (behind the mirror)
B ( $u = -25$ ): $\frac{1}{v} = -\frac{1}{20} + \frac{1}{25} = -\frac{1}{100} \Rightarrow v = -100\text{ cm}$ (in front)
Distance between images $= 60 + 100 = 160\text{ cm}$ , so the answer is (c).

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