The correct expression for refraction at single convex spherical surface separating two media of refractiv eindices `mu_(1) and mu_(2) ( mu_(2) gt mu_(1))` and radius of curvature R is ( u and v are object, image distane respectively )

A spherical surface of radius R ssparates two media of refractive indices mu_(1) and mu_(1) as shown in figure., Where should an object be placed in medium 1 so that a real image is formed in medium 2 at the same distance?

The diagram shows a spherical surface which separates two media of refractive index, mu_(1) and mu_(2) . Respectively. Now, a point object is placed on the principal axis as shown in the figure. Then

What is the relation between the refractive indices mu,mu_(1) and mu_(2) if the behaviour of light rays is shown in Figure.

A monochromatic light is incident on the plane interface AB between two media of refractive indices mu_(1) and (mu_(2)gtmu_(1)) at an angle of incidence theta as shown in Fig. The angle theta is infinitesimally greater than the critical angle for the two media so that total internal reflection takes place. Now, if a transparent slab DEFG of uniform thickness and of refractive index mu_(3) is introduced on the interface (as shown in the figure), show that for any value of mu_(3) all light will ultimately be reflected back into medium II.

The length of the optical path of two media in contact of length d_(1) and d_(2) of refractive indices mu_(1) and mu_(2) respectively, is

A thin plano-convex lens fits exactly into a thin plano-concave lens. Their plane surfaces are parallel to each other. The lenses are made of different material of refractive indices mu_(1) and mu_(2) and R is the radius of curvature of the curved surfaces of the lenses, if rays are incident parallel to principal axis on lens of refractive index.