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Question

Two plane mirrors are inclined at angle θ if any ray incident on one mirror becomes anti-parallel after reflection from the other mirror then the angle θ can be


A

less than 90

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B

90

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C

more than 90

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D

Cannot be determined

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Solution

The correct option is B

90


Step 1: Anti-parallel rays:

  1. Anti-parallel rays are the rays, which are parallel in nature, but opposite in direction.
  2. Considering anti-parallel rays, the mirrors can be drawn as follows:

Step 2: Calculation of total deviation angle

The equation for the total deviation angle can be written as follows:

δ=360-2θ

Here,

δ is the total deviation angle.

θ is the angle between the mirrors.

Since the rays are anti-parallel, the total deviation is 180.

180=360-2θ2θ=180θ=90

Hence, the required angle between the mirrors is 90.

Therefore, option (B) is correct.


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