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Draw a ray diagram showing the formation of the image by a point object on the principal axis of a spherical convex surface separating two media of refractive indices n1 and n2 when a point source is kept in rarer medium of refractive index n1. Derive the relation between object and image distance in terms of refractive index of the medium and radius of curvature of the surface. Hence obtain the expression for lens maker's formula in the case of thin convex lens.

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The incident rays coming from the object O kept in the rarer medium of refractive index n. incident on the refracting surface NM produce the real image at I.

From the diagram,

The first refracting surface ABC forms the image I1 of the object O. The image I1 acts as a virtual object for the second refracting surface ADC which forms the real image I as shown in the diagram.

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