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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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