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Question

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


A
10.5 cm
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B
12.5 cm
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C
25 cm
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D
30 cm
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Solution

The correct option is B 12.5 cm

For 1st reflection:

u=15 cm; f=10 cm ( f=R2)

Using mirror formula

1v+1u =1f

1v=110+115=3+230

v=30 cm

First image I1 from M2 = 10 cm

After 2nd reflection, second I2 image will be formed on right side of M2.

For 3rd reflection from m1:

u=(40+10)=50 cm; f=10 cm

Again using mirror formula

1v + 1u = 1f

1v = 1f 14 = 110 + 150

v=504=12.5 cm

Ans (b)

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