Question:

Two plane mirrors are inclined to each other ray of light incident on one face at $ 30{}^\circ $ after reflection from the second retraces the path. What is the angle between the mirrors?

Updated On: May 12, 2022
  • $ 40{}^\circ $
  • $ 60{}^\circ $
  • $ 20{}^\circ $
  • $ 30{}^\circ $
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The Correct Option is D

Solution and Explanation

We see from the figure the ray incident on the second mirror $ {{M}_{2}} $ retraces its path (way). This would result the incident ray becomes normally on the second mirrors.Hence the angle between mirros $ {{M}_{1}} $ and $ {{M}_{2}} $ is $ \angle {{M}_{1}}A{{M}_{2}}=30{}^\circ . $
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Concepts Used:

Reflection of Light

When a light ray falls on any object, it is bounced back from the object. This process is known as the Reflection of light. The light reflected from the object falls into our eyes, making the object visible to us. All the things we see around us are because of reflection. 

The reflection of light depends on the type of object. A polished or smooth surface reflects most of the light falling on it, while a rough surface absorbs some amount of light and reflects back the rest of the light. The direction of reflected rays depends upon the surface of the object.