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Derive an expression for refraction at a...

Derive an expression for refraction at a single (convex) spherical surface, i.e., a relation between u, v, R, `n_(1)` (rarer medium) and `n_(2)` (denser medium), where the terms have their usual meaning.

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To derive the expression for refraction at a single convex spherical surface, we will follow these steps: ### Step 1: Draw the Diagram We start by drawing a diagram of the convex spherical surface. Label the following points: - Point O: The center of the spherical surface. - Point A: The point where the incident ray strikes the surface. - Point C: The point where the refracted ray exits the surface. - The incident ray from the rarer medium (n1) and the refracted ray in the denser medium (n2). ...
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