Question

(a) Derive the formula, $\frac{n_{1}}{v}-\frac{n_{2}}{u}=\frac{n_{1}-n_{2}}{R}$.
(b) A small object is placed at distance of 40 cm from a convex spherical refracting surface of radius of curvature 15 cm. If the surface separates air from glass of refractive index 1.5, find the position of the image.

Answer 1

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$\frac{n_{1}}{v}-\frac{n_{2}}{u}=\frac{n_{1}-n-{2}}{R}$