Two plane mirrors are 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:

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75⁰

60⁰

45⁰

90⁰

answer is B.

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Detailed Solution

Let angle between the two mirrors be $θ .$

Ray PQ || mirror M₁ and RS || mirror M₂

$∴ ∠ M_{1} RS = ∠ ORQ = ∠ M_{1} {OM}_{2} = θ$

Similarly, $∠ M_{2} QP = ∠ OQR = ∠ M_{2} {OM}_{1} = θ$

$∴ In △ ORQ, 3 θ = 180^{\circ} \Rightarrow θ = \frac{180^{\circ}}{3} = 60^{\circ}$

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