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Question

# A ray of light incident on the first mirror parallel to the second and is reflected from the second mirror parallel to first mirror. The angle between two mirrors is

A
30
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B
60
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C
75
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D
90
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Solution

## Step 1: GivenLet M₁ and M₂ are the mirrors.The incident ray is parallel to mirror M₂,The reflected ray is parallel to mirror M₁,Let the angle between the mirrors is(∠BDC) = θ.Draw a normal for the reflections from the mirrors.Step 2: Formula usedAngle of incidence= Angle of reflectionStep 3: Finding the angle between the mirrorsThen ∠ M₁BA=θ and ∠ ECM₂=θ(corresponding angles).Hence, ∠ M₁BA=∠ DBC=θ(linear pair).Similarly, ∠ ECM₂=∠ DCB=θ.∠DBC +∠DCB +∠BDC =180o θ+ θ+ θ =180o 3θ =180o θ =60o Hence, the angle between the mirrors is 60o.

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