Q.

The principle section of a glass prism is an isosceles triangle ABC with AB = AC, the face AC is silvered. A ray of light is incident normally on the face AB and after tworeflections, it emerges from the base BC perpendicular to the base. Angle of BAC of the prism is

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a

300

b

360

c

180

d

720

answer is B.

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Detailed Solution

∠DEF=2A In triangle DEF , 900+2A+(900-θ)=1800 ⇒θ=2A In triangle ABC   θ=π2-A2 Therefore 2A=π2-A2⇒A =360
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The principle section of a glass prism is an isosceles triangle ABC with AB = AC, the face AC is silvered. A ray of light is incident normally on the face AB and after tworeflections, it emerges from the base BC perpendicular to the base. Angle of BAC of the prism is