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 at its focus such that the image formed by the combination coincides with the object itself. The focal length of the convex mirror is :

A
20cm
B
100cm
C
25cm
D
30cm
Solution
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#### For the lens,1v−1u=1f1v=110−115Thus, v=30cmNow, for the mirror, this image acts as the object.u=30−10=20cmAlso, v=−25cmHence, −125+120=1ff=100cm

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