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Question

Find the position of the final image of the object O after three successive reflections taking first reflection on m1.


A
12.5 cm in front of mirror m1.
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B
10 cm in front of mirror m1.
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C
12.5 cm in front of mirror m2.
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D
10 cm in front of mirror m2.
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Solution

The correct option is A 12.5 cm in front of mirror m1.
For first reflection at mirror m1,
u=15 cm
f=202=10 cm
So, 1v+1u=1f
1v115=110
1v=130
v=30 cm
This first image will act as the object for the plane mirror m2.
For second reflection at plane mirror m2,
u=(4030)=10 cm
So, v=+10 cm
This second image will act as the virtual object for the mirror m1.
For third reflection at mirror m1,
u=(40+10)=50 cm
f=202=10 cm
So, 1v+1u=1f
1v150=110
1v=225
v=12.5 cm
Thus, the final image is formed at 12.5 cm in front of mirror m1.

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