Explain the refraction by two transparent spherically curved surfaces.

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(N/A) spherical surface can be treated as a collection of infinitesimal planar elements. The laws of refraction (Snell's Law) apply at each point on the surface.
The normal at the point of incidence is perpendicular to the tangent plane at that point and always passes through the centre of curvature of the spherical surface.
When light passes through two such surfaces (as in a lens),the image formed by the first surface acts as the object for the second surface. By applying the refraction formula $n_2/v - n_1/u = (n_2 - n_1)/R$ sequentially to both surfaces,we derive the Lens Maker's Formula.

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