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A convex lens of focal length 20cm is pl...

A convex lens of focal length 20cm is placed 10cm in front of a convex mirror or radius of curvature 15cm. Where should a point object be placed in front of the lens so that it images on to itself?

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To solve the problem step by step, we need to find the position of a point object in front of a convex lens such that the image formed by the lens is coincident with the object itself after reflecting from a convex mirror. ### Step 1: Understand the Setup We have a convex lens with a focal length (f) of 20 cm and a convex mirror with a radius of curvature (R) of 15 cm. The distance between the lens and the mirror is 10 cm. ### Step 2: Determine the Focal Length of the Convex Mirror The focal length (f_m) of a convex mirror is given by: \[ ...
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