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Two plane mirrors arc inclined to each other such that a ray of light incident on the first mirror (M1) and parallel to the second mirror (M2) is finally reflected from the second mirror (M2) parallel to the first mirror (M1). The angle between the two mirrors will be :
  • a)
    90°
  • b)
    45°
  • c)
    75°
  • d)
    60°
Correct answer is option 'D'. Can you explain this answer?
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Two plane mirrors arc inclined to each other such that a ray of light ...
Degrees
b)60 degrees
c)45 degrees
d)30 degrees

Answer: b) 60 degrees

Explanation:

Let the incident ray be denoted by AB, and let it make an angle of θ with the first mirror (M1). The reflected ray from M1 will be BC, which will make an angle of θ with the mirror. Since BC is parallel to M2, it will be incident on M2 at an angle of 90 degrees.

Now, the angle of incidence on M2 is 90 - θ, and the angle of reflection from M2 is also 90 - θ, since BC is parallel to M1. Therefore, the angle between M1 and M2 is equal to the sum of the angles of incidence and reflection on M2, which is (90 - θ) + (90 - θ) = 180 - 2θ.

For the reflected ray from M2 to be parallel to M1, it must make an angle of θ with M2. Therefore, we have:

180 - 2θ = 2θ

Solving for θ, we get:

θ = 60 degrees

Therefore, the angle between M1 and M2 is also 60 degrees.
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Two plane mirrors arc inclined to each other such that a ray of light ...
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Two plane mirrors arc inclined to each other such that a ray of light incident on the first mirror (M1) and parallel to the second mirror (M2) is finally reflected from the second mirror (M2) parallel to the first mirror (M1). The angle between the two mirrors will be :a)90°b)45°c)75°d)60°Correct answer is option 'D'. Can you explain this answer?
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