Refraction at spherical surface (convex)-lec 5 - optics

A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index mu=1.5 as shown. The position of the image formed by refraction at the image formed by refraction at the spherical surface only as

Show that for refraction at a concave spherical surface (separating glass-air medium), the distance of the object should be greater than three times the radius of curvature of the refracting surface for the image to be real.

Starting with an expression for refraction at a single spherical surface, obtain Lens Maker.s formula.

Parallel rays of light are falling on convex sphere surface of radius of curvature R = 20 cm as show. Refractive index of the medium is mu = 1.5 . A refraction from the spherical surface parallel rays

Obtain an expression for refraction at a single convex spherical surface separating the two media having refractive indices mu_(1) (rarer medium) and mu_(2) (denser medium) i.e., a relation between u, v, mu_(1),mu_(2) and 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 Figure, a point object O is placed in air. A spherical boundary separates two media. Ab is the principall axis. The refractive index above AB is 1.6 and below AB is 2.0. The separation between the images formed due to refraction at a the spherical surface is (assume the radius of curvature (R) to be 1 unit)

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.

The radii of curvature of two spherical surfaces of a concave convex lens (mu=1.5) are 20 cm and 40 cm. (i) What is its focal length when it is in air? Also find its focal length when it is immersed in a liquid of refractive index (ii) mu=1.2 (iii) mu=2

A biconvex lens made of glass (refractive index 1.5) has two spherical surfaces having radii 20cm and 30cm. Calculate its focal length.