A Vessel Of Depth t is Half Filled With Oil Of Refractive Index  and The Other Half Is Filled With Water Of Refractive Index . The Apparent Depth Of The Vessel When Viewed From Above Is     

The distance between an object and a divergent lens is m times the focal length of the lens. The linear magnification produced by the lens will be equal to  

When a telescope is in normal adjustment, the distance of the objective from the eyepiece is found to be 100 cm. If the magnifying power of the telescope, at normal adjustment, is 24, the focal lengths of the lenses are

Monochromatic light is refracted from air into glass of refractive index μ. The ratio of the wavelengths of the incident and refracted waves is

The layered lens shown in fig. is made of two kinds of glass. A point source of light is placed on its principal axis. If reflections from the boundaries between layers are ignored, the lens will form

How much time will light take to transverse a glass slab of thickness 10 cm and refractive index 1.5?

A glass prism ABC of refractive index 1.5 is immersed in water of refractive index 4/3 as shown in fig. A ray of light incident normally on face AB is totally reflected at face AC if  

What is the relation between refractive indices μ, μ₁ and μ₂ if the behavior of light rays is as shown in fig.

A lens forms a sharp image on a screen. On inserting a parallel sided glass slab between the lens and the screen, it is found necessary to move the screen a distance d away from the lens is order to focus the image sharply. If the refractive index of glass relative to air is μ, the thickness of the glass slab is given by

A convex lens is placed between an object and a screen which are a fixed distance apart. For one position of the lens the magnification of the image obtained on the screen is m₁. When the lens is moved by a distance d, the magnification of the image obtained on the same screen is m₂. The focal length of the lens is (m₁ > m₂).      

A ray of light, travelling in a medium of refractive index μ, is incident at an angle i on a composite transparent plate consisting of three plates of refractive indices . The ray emerges from the composite plate into a medium of refractive index , at angle x. Then