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Byju's Answer
Standard XII
Physics
Reflection of Light
Two plane mir...
Question
Two plane mirror A and B are inclined at angle
θ
(
<
90
o
)
to each other. A light ray parallel to mirror B is incident on mirror A and it becomes parallel to mirror A after reflection from mirror B. Find the value of angle
θ
.
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Solution
Let
θ
be the angle between mirrors
O
M
1
and
O
M
2
The incident light is reflected along BC.
Angle of reflection is
α
.
From the figure we have,
∠
M
1
B
A
=
∠
O
B
C
=
∠
M
1
O
M
2
=
θ
Similiarly,
∠
M
2
C
D
=
∠
B
C
O
=
∠
M
2
O
M
1
=
θ
Now in triangle OBC,
3
θ
=
180
∘
θ
=
60
∘
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