Question

A plane mirror is placed in front of a concave mirror of focal length . An object can be placed between the two mirrors so that the first image in both the mirror coincides. The object distance from the spherical mirror is

A

B

C

D

Medium
Solution
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Correct option is A)

It can seen from the figure that, if the object is placed at a distance from the concave mirror, its distance from the plane mirror will be . So plane mirror equal and erect image of object at a distance behind the mirror. Now according to the given problem, the image coincided with the image formed by the plane mirror, therefore for concave mirror.
 

and object distance

given focal length is

So using mirror formula,




Hence or
.
But as the distance between the two mirror is ,  is not admissible . So the object must be at a distance of cm from the concave mirror

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