A point source S is placed midway between two converging mirrors having equal focal length f as shown in figure. Find the values of d for which only one image is formed.

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Solution

Both the mirrors have equal focal length, f they will produce one image under two conditions.

Case-I : When the source is at distance '2f' from each mirror i.e., the source is at centre of curvature of the mirrors, the images will be produced at the same point 'S'. So d = 2f + 2f = 4f

Case-II : When the source 'S' is at distance 'f' from each mirror, the rays from the source after reflecting from one mirror will become parallel and so these parallel rays after the reflection from the other mirror the object itself. So, only one image is formed.

Here d = f + f = 2f

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