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Question

If incident ray CA and reflected ray BD are parallel to each other. Find the angle of inclination between the mirrors.
104848.jpg

A
i1+i2=θ
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B
i1+i2=12θ
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C
i1+i2=2θ
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D
none
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Solution

The correct option is A i1+i2=θ


Since AC and BD are parallle,
hence BAC+ABD=180o

2i1+2i2=180o

i1+i2=90o

Now, in triangle ΔAOB

α=90oi1
β=90oi2

And, α+β+θ=180o

90oi1+90oi2+θ=180o

θ=i1+i2

And, θ=i1+i2=90o

Answer-(A)

853108_104848_ans_7ee566e04d804b96a0104e0c8ebe0239.jpg

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