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Geometrical Optics question

2002 · Shift 0 · Q117
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Geometrical Optics question

2002 · Shift 0 · Q117

JEE MainPhysicsGeometrical OpticsMCQ+4 / −1
If two mirrors are kept at 60∘{60^ \circ }60∘ to each other, then the number of images formed by them is
  1. A
    555
  2. B
    666
  3. C
    777
  4. D
    888
View written solutionFree

Correct answer: A

  1. For two plane mirrors inclined at an angle θ\thetaθ, the number of images nnn formed is given by:
n=360∘θ−1n = \frac{360^\circ}{\theta} - 1n=θ360∘​−1

when 360∘θ\frac{360^\circ}{\theta}θ360∘​ is an integer.

  1. Here, the angle between the mirrors is:
θ=60∘\theta = 60^\circθ=60∘

So,

360∘60∘=6\frac{360^\circ}{60^\circ} = 660∘360∘​=6

Since this is an integer, we use:

n=6−1=5n = 6 - 1 = 5n=6−1=5
  1. Therefore, the number of images formed is:
5\boxed{5}5​
  1. Checking options:
  • A: 555 ✅
  • B: 666 ❌
  • C: 777 ❌
  • D: 888 ❌

Hence, the correct option is A.

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