JEE Main · 2023 · 08 Apr 2023 · Shift 1 · Geometrical Optics

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Two vertical parallel mirrors A and B are separated by 10 cm. A point object O is placed at a distance of 2 cm from mirror A. The distance of the second nearest image behind mirror A from the mirror A is ____ cm

Answer: 18

Solution

Place mirror A at the origin and mirror B 10 cm away; the object O is 2 cm from A and therefore 8 cm from B. The nearest image behind A is the direct reflection of O in A, formed 2 cm behind A. The next image behind A is produced when O is first reflected in B and that image is then reflected in A: reflection in B gives an image 8 cm behind B, which lies

10 + 8 = 18

cm from A, and its reflection in A is formed the same distance, 18 cm, behind A. Hence the second nearest image behind mirror A is 18 cm from the mirror.

JEE Main · 2023 · 08 Apr 2023 · Shift 1 · Integer answer

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