Q40 / 56 · KVPY 2018 (SA) · Physics

Two plane mirrors are kept on a horizontal table making an angle θ with each other as shown schematically in the figure. The angle θ is such that any ray of light reflected after striking both the mirrors return parallel to its incident path. For this to happen, the value of θ should be

Figure

  • A
    30°
  • B
    45°
  • C
    60°
  • Correct answer
    D
    90°

Solution

As emergent ray is parallel to incident ray, deviation angle δ is 180°

But δ=360°-2θ

where, θ= angle between inclined mirrors.

Figure.

So,   360°-2θ=180°

or 2θ=180°⇒θ=90°

Hence, the correct answer is option: 'D'.

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