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Obtain an expression for refraction at a single convex spherical surface separating the two media…

Physics20183 marksDerivation
Obtain an expression for refraction at a single convex spherical surface separating the two media having refractive indices ‘$n_1$’ (rarer medium) and ‘$n_2$’ (denser medium) i.e. a relation between $u$, $v$, $n_1$, $n_2$ and $R$.

To show: \frac{n_2}{v} - \frac{n_1}{u} = \frac{n_2 - n_1}{R}

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Ray Optics and Optical Instruments

From ISC 2018 Specimen Physics Paper 1, question 16(a).