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31 December, 20:40

Two plane mirrors are separated by 120°, as the drawing illustrates. If a ray strikes mirror M1 at a θ1 = 64° angle of incidence, at what angle θ2 does it leave mirror M2?

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  1. 1 January, 00:07
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    Angle, θ2 at which the light leaves mirror 2 is 56°

    Explanation:

    Given-

    θ1 = 64°

    So, α will also be 64°

    According to the figure:

    α + β = 90°

    So,

    β = 90° - α

    = 90° - 64°

    = 26°

    β + γ + 120° = 180°

    γ = 180° - 120° - β

    γ = 180° - 120° - 26°

    γ = 34°

    γ + δ = 90°

    δ = 90° - γ

    δ = 90° - 34°

    δ = 56°

    According to the law of reflection,

    angle of incidence = angle of reflection

    θ2 = δ = 56°

    Therefore, angle θ2 at which the light leaves mirror 2 is 56°
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