An empty spherical flask of diameter `15 cm` is placed in water of `mu = 4//3`. A parallel beam of light strikes the flask. Where does it get focussed, when observed from within the flask ?

A sphere of glass (mu = 1.5) is of 20 cm diameter. A parallel beam enters it from one side. Where will it get focussed on the other side ?

A glass sphere of diameter 20 cm is constructed with a material of refractive index 1.5. A beam of light strikes the sphere and converges at a point 40 cm behind the pole of a spherical surface. Find the position of the image.

A sunshine recorder globe is a device that provides the information about climate and weather by recording the amount of sunshine for a given location. One such globe of diameter 20 cm and refractive index 1.5 is used for the purpose. A parallel beam of light enters the globe and is refracted by the spherical surface of the globe. Determine the position of the image of the rays formed.

A spherical surface of radius R separates air from a medium of refractive index mu . Parallel beam of light is incident, from medium side, making a small angle theta with the principal axis of the spherical surface. Find the co-ordinates of the point where the rays will focus in air.

A converging lens of focal length 20cm is separated 8 cm from a diverging lens of focal length 30 cm. A parallel beam of light falls on converging lens and after passing through diverging lens focussed at point P. Find the location of point P. Repeat the calculation for the case when the parallel beam first falls on diverging lens. [4.2 cm from convex lens]

A convex lens of power 3 D is held in contact with a concave lens of power -1D.A parallel beam of light is made to fall on the combination. At what distance from the combination will the beam get focussed?

A spherical ball of transparent material has index of refraction mu. A narrow beam of light AB is aimed as shown. What must the index of refraction be in order that the light is focused at the point C on the opposite end of the diameter from where the light entered? Given that xgt gtR.

A beam of light rays converges to a point O on x-axis as shown. The angle of convergence is small. A cube of glass of refractive index mu = 1.5 and side length 40 cm containing a concentric spherical air cavity of radius 10 cm is to be placed in the path of the converging beam so that the beam emerging from the cube is parallel to x-axis. At what point C on x-axis should the centre of the cube be placed to achieve this? Give the x coordinate of C taking O as origin.

A sunshine recorder globe of 30 cm diameter is made of glass of mu = 1.5 . A ray enters the globe parallel to its axis. Find the position from the centre of the sphere, where the ray crosses the axis.

A parallel beam of light travelling in water (refractive index =4//3) is refracted by a spherical air bublle of radius 2mm situated in water. Assuming the light rays to be paraxial, a. Find the position of image due to refraction at first surface and position of the final image. b. Draw a ray diagram showing the position of both images.