Question

# Find the position of final image after three successive reflections taking first reflection on m1

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

## The correct option is A −12.5cmGiven, For 1st reflection: The focal length is f=−10cm The object distance is u=−15cm Applying the mirror formula to get the image distance, 1v=1f−1u 1v=1−10−1−15 v=−30cm For 2ndreflection: The focal length is f=10cm The object distance is u=−10cm Applying the mirror formula to get the image distance, 1v=1f−1u 1v=110−1−10 v=10cm For 3rd reflection: The focal length is f=−10cm The object distance is u=−50cm Applying the mirror formula to get the image distance, 1v=1f−1u 1v=1−10−1−50 v=−12.5cm .

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