Question

# Two mirrors meet at right angles. A ray of light is incident on one end at an angle of $$30^o$$ as shown in figure. Draw the reflected ray from the second mirror.

Solution

## At Mirror OA,Angle of incidence = angle of reflection = $$30^o$$$$\angle{CAB} = 30^o$$$$\angle{CAB}+\angle{CBA}+\angle{ACB}=180^o$$$$30^o+90^o+\angle{ABC}=180^o$$$$\angle{ABC} = 60^o$$At mirror OB,Angle of incidence = angle of reflection = $$60^o$$Note that, $$AC\ ||\ OB$$Angle between incident ray and AC = Angle between reflected ray and OB $$= 30^o$$Hence, first incident ray are last reflected ray in this case are parallel.ScienceNCERTStandard VIII

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