Refraction at spherical surfaces

For refraction at spherical surface establish the following relation. n_2/v-n_1/u=(n_2-n_1)/R

In the figure, a point object O is placed in air. A spherical boundry separates two media of radius of curvature 1.0 m. AB is principal axis. The separation between the images formed due to refraction at spherical surface is

In the figure, a point object O is placed in air. A spherical boundry separates two media of radius of curvature 1.0 m. AB is principal axis. The separation between the images formed due to refraction at spherical surface is

A lens of particular focal length is made from a given glass by adjusting radius of curvature. The formula applied in this case is lens maker's formula. Derive lens maker's formula considering refraction at a spherical surface

Deduce the equation for the refraction at a spherical surface seperating two media.

Deduce the relation between n,u,v, Q, R for refraction at a spherical surface, where the symbols have their usual meaning.

a. describe Young's experiment in interference with necessary theory. b. Explain the refraction at a spherical surface using a schematic diagram. c. Mention the shape of wave front for the portion of wave front of light form a distant star intercepted by the earth.

The first factor length f_(1) for refraction at a spherical surface is defined as the value of u corresponding to v=oo (as shown) with refractive indices of two mediums, as n_(1) and n_(2) . The second focal length f_(2) is defined as value of v for u=oo .