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Question

# An object is placed at a distance of 15 cm from a convex lens of focal length 10 cm. On the other side of the lens, a convex mirror is placed such that its distance from the lens equals focal length of the lens. The focal length of the convex mirror is

A
20 cm
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B
10 cm
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C
15 cm
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D
30 cm
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Solution

## The correct option is B 10 cmHere point I would be center of curvature of the mirror.So focal length of mirror f=MI2For lens, 1f=1v−1u1v=1f+1uHere , f=+10cm,u=−15cm1v=110+1−15v=+30cmMI=LI−LM=30−10=20cmf=MI2=202f=10cm

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