JEE Main 2015 Physics question

PhysicsRay Optics and Optical InstrumentsJEE Main 2015

You are asked to design a shaving mirror assuming that a person keeps it at cm from his face and views the magnified image of the face at the closest comfortable distance of cm. The radius of curvature of the mirror would then be:

Answer: (3)

Solution

A shaving mirror is concave and forms an erect, magnified *virtual* image behind it. The face (the object) is 10 cm from the mirror and the image is viewed at the least distance of distinct vision, 25 cm from the eye — that is, 25 cm from the face — so the image lies cm behind the mirror. Using the

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Question ID VK-115248