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Question

Two plane mirrors are inclined at angle θ as shown in figure. If a ray parallel to OB strikes the other mirror at P and finally emerges parallel to OA after two reflections the θ is equal to :
1163699_d866ef8a663b45e3b25092eca2b9cbf0.png

A
90o
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B
60o
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C
45o
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D
30o
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Solution

The correct option is B 60o
AOT=APM (correspondence because PM OB)
θ=APM
APM=C×M (correspondence OA TC$)
C×M=CTB (correspondence XM TB$)
θ=CTB
APM=OPT (Law of Reflection )
θ=OPT
CTB=PTO
θ=PTO
In OTP
θ+θ+θ=180
3θ=180
θ=60o
1035246_1163699_ans_745018e55fd04d6294769e1fe38081cc.png

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