Question

# A concave mirror of focal length 10 cm and a convex mirror of focal length 15 cm are placed facing each other 40 cm apart. A point object is placed between the mirrors on their common axis and 15 cm from the concave mirror. Find the position and nature of the image produced by successive reflections, first at the concave mirror and then at the convex mirror.

A
12 cm behind convex mirror, real
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B
9 cm behind convex mirror, real
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C
6 cm behind convex mirror, virtual
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D
3 cm behind convex mirror, virtual
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Solution

## The correct option is C 6 cm behind convex mirror, virtualFor concave mirror, f=vuv+u −15=v(−15)v−15 ⇒v=−30 cm For convex mirror, the first image (formed by concave mirror ) acts as an object. f=vuv+u 15=v(−10)v−10 ⇒v=6 cm So the final image is formed 6 cm behind the convex mirror. (final image is virtual).

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