The lateral shift produced by the slab is

A fish looking up through water sees the outside world contained in a circular horizon of radius 'r'. If the refractive index of the water is 4/3 and the fish is 12cm below the surface of water, the radius 'r' if the circle in cm is

A prism has refracting angle of $$60^0$$  . When a ray is incident at $$50^0$$  on one face, it suffers minimum deviation $$\delta_m$$  . The value of $$\delta_{m\ }$$  is

An object is placed at a distance of 4cm in front of a concave lens of focal length 12 cm. The nature and position of the image from the lens is

A biconvex lens of equal radius of curvature R for each refracting surface, is placed at a point P in the path of a beam converging to a point M, such that PM = R/3. If the refractive index of the material of lens is 1.5, the magnification produced by the lens is

If the focal length of a convex lens is reduced to half its original value, its focal power in dioptre becomes x times the original focal power, where

A glass prism has a refracting angle of 60⁰. If a ray undergoes minimum deviation of 30⁰. What is the refractive index of the prism material?

If the tube length of astronomical telescope is 105 cm and magnifying power is 20 for normal setting, calculate the focal length of the objective in cm

In a compound microscope, magnifying power is 95 and distance of the object from objective lens is 1/3.8 cm and focal length of the objective lens is 1/4 cm. What is the magnification of eyepiece?