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JEE Main 2023 (8 Apr, Shift 1) · Reflection & Mirrors

Reflection & Mirrors question from JEE Main 2023 (8 Apr, Shift 1)

Q25JEE Main 2023 · 8 APR · SHIFT 1Medium

Reflection & Mirrors

Two vertical parallel mirrors A and B are separated by 10 cm10\text{ cm}. A point object O\text{O} is placed at a distance of 2 cm2\text{ cm} from mirror A\text{A}. The distance of the second nearest image behind mirror A from the mirror A\text{A} is _________ cm\text{cm}.

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Numerical answer type. Work it out, then open the answer.

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Answer: 18

  1. Place A at x=0x = 0, B at x=10x = 10, O at x=2x = 2.
  2. Nearest image behind A: image of O in A at x=−2x = -2.
  3. Image of O in B is at x=18x = 18; its image in A is at x=−18x = -18.
  4. Second nearest image behind A is 18 cm18\text{ cm} from A.
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