Two plane mirrors are inclined to each other at an angle of $70^{\circ}$ as shown in figure. A ray of light PO incident at some angle i on the mirror $M_{1}$ falls after reflection from it, on the other mirror $M_{2}$ from which it gets reflected along a direction parallel to the plane mirror $M_{1} .$ Find the value of i.

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Solution

The correct option is D 40
As the final reflected ray is parallel to mirror $M_{1}$ hence, $θ = 70^{\circ} (Correcponding angles) I n Δ A C O 70^{\circ} + 70^{\circ} + i = 180 140 + i = 180 \Rightarrow i = 180 - 140 = 40^{\circ} i = 40^{\circ}$

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