A ray of light is incident at 50° on the middle of one of the two mirrors arranged at an angle of 60° between them. The ray then touches the second mirror, get reflected back to the first mirror, making an angle of incidence of
Text Solution
Verified by ExpertsThe correct answer is:
C
Let required angle be θ θ
From geometry of figure
In Δ Δ ABC ; α α = 180° – (60° + 40°) = 80°
⇒ ⇒ β β = 90° – 80° = 10°
In Δ Δ ABD ; ∠ ∠ A = 60°, ∠ ∠ B = ( α α + 2 β β )
= (80 + 2 × × 10) = 100° and ∠ ∠ D = (90° – θ θ )
∠ ∠ A + ∠ ∠ B + ∠ ∠ D =180° ⇒ ⇒ 60° + 100° + (90° – θ θ ) = 180° ⇒ ⇒ θ θ = 70°
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