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  • If incident ray MP and reflected ray QN are parallel to each other, find the angle between the mirrors. <i

If incident ray MP and reflected ray QN are parallel to each other, find the angle \theta between the mirrors.

 

Option: 1

60^{\circ}


Option: 2

45^{\circ}


Option: 3

90^{\circ}


Option: 4

180^{\circ}


Answers (1)

best_answer

The deviation produced by first mirror =180-2 \mathrm{i}_{1}  and the deviation produced by second mirror =180-2 \mathrm{i}_{2}.
\text { The total deviation is } 180^{\circ} \text { as MP and QN are anti parallel }

\text { So, } 180^{\circ}=360^{\circ}-2\left(\mathrm{i}_{1}+\mathrm{i}_{2}\right)

\therefore \quad \mathrm{i}_{1}+\mathrm{i}_{2}=\theta=90^{\circ}

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