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A light ray is incident, at an incident angle $θ$ ₁, on the system of two plane mirrors M₁ and M₂ having an inclination angle 75° between them (as shown in figure). After reflecting from mirror M₁ it gets reflected back by the mirror M₂ with an angle of reflection 30°. The total deviation of the ray will be .............. degree.

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answer is 210.

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Detailed Solution

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$θ_{1} = 180^{o} - 75^{o} - 60^{0} = 45^{o}$

$δ_{1} = 90^{0}$

$δ_{2} = 120^{0}$

$δ = 120^{\circ} + 90^{\circ} = 210^{\circ}$

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