k transparent slabs are arranged one over another. The refractive indices of the slabs are g„ ...Ilk and the thicknesses are `t_1, t_2, t_3............., t_k` . An object is seen through this combination with nearly perpendicular light. Find the equivalent refractive index of the system which will allow the image to be formed at the same place.

The n transparent slabs of refractive index1.5 each having thickness 1cm, 2 cm,…to n cm are arranged one over another. A point object is seen through this combineation with near perpendicular light. If the shift of object by the combination is 1 cm, then find the value of n.

The n transparent slabs of refractive index1.5 each having thickness 1cm, 2 cm,…to n cm are arranged one over another. A point object is seen through this combineation with near perpendicular light. If the shift of object by the combination is 1 cm, then find the value of n.

If t is the real thickness mu is refractive index of a glass slab then the shift of the image with refernce to the object is given by

The refractive index of glass is 1.9 . If light travels through a glass slab of thickness d in time t and takes the same time to travel through a transparent beaker filled with water upto a level of 1.5 d, then the refractive index of water is

Object O is placed in front of a plane mirror M. A glass slab S having thickness t = 3 cm and refractive index mu = 1.8 is placed between the object and the mirror. The refracting faces of the slab are parallel to the mirror surface. The object is made to move with a velocity of u = 2 m//s perpendicular to the mirror surface. Find the speed of the image formed after (a) refraction from the slab followed by reflection from the mirror. (b) refraction from the slab followed by reflection from the mirror followed by the refraction from the slab.