Part of JOP-01 — Ray Optics: Mirrors, Lenses & Instruments

Reflection at Spherical Mirrors

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Spherical mirrors (concave and convex) follow the mirror formula 1/v + 1/u = 1/f, where f = R/2. Using the New Cartesian sign convention, all distances are measured from the pole; the direction of incident light is taken as positive. Concave mirrors have negative f; convex mirrors have positive f. Magnification m = -v/u gives information about image orientation (negative = inverted, positive = erect) and size. Concave mirrors can form both real and virtual images depending on object position relative to F and C. Convex mirrors always form virtual, erect, diminished images, making them ideal for rear-view mirrors with their wide field of view. The focal length of a mirror is independent of the surrounding medium since reflection does not depend on refractive index. For moving objects, image velocity is related to object velocity by vimagev_{image} = m2m^{2} × vobjectv_{object} along the principal axis. These fundamentals appear in approximately 1-2 questions per JEE paper.

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