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A point object is kept between a plane mirror and a concave mirror facing each other. The distance between the mirrors is $22.5 c m$ . Plane mirror is placed perpendicular to principal axis of concave mirror. The radius of curvature of the concave mirror is 20 cm. What should be the distance of the object from the concave mirror so that after two successive reflections the final image is formed on the object itself? (consider first reflection from concave mirror)

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12 cm

15 cm

10 cm

7.5 cm

answer is B.

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Detailed Solution

Object at x from concave mirror.
Image at $y = x (\frac{f}{x - f})$
Then, $(\frac{x + y}{2}) = 22.5$

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