A quarter cylinder of radius R and refractive index 1.5 is placed on a table.A point object P is kept at a distance of mR from it. Find the value of m for whicha ray from P will emerge parallel to the table as shown in the figure.

A glass hemisphere of radius R and of material having refractive index 1.5 is silvered on its flat face as shown in figure., A small object of height h is located at a distance 2R from the surface of hemisphere as shown in the figure. The final image will form.

A hemisphere of radius R, made of glass of refractive index (3/2) is placed on 'the table. A point source of light is placed at a distance 2R from the centre, of hemisphere. If source is viewed diametrically opposite side of hemisphere. Find the position of image of source.

A double convex spherical glass has refractive index 1.5 and both radius of curvature 30 cm. A point object is placed at a distance of 120 cm from the spherical glass. What will be the position of the image formed ?

The figure ,shows a transparent sphere of radius R and refractive index mu .An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. if an object is Placed at a distance R from the pole of first surface ,then the real image is formed at a distance R from thepole of the second surface.The refractive index mu of the spher is given by

A hemishperical surface of radius R and refractive index mu = 1.5 is polished as shown. At what distance x from point P a point object O be placed so that its image coincides with the object itself?

There is a sphere of radius R and refractive index mu . At what distance from the surface of sphere should an object be placed so that real image is formed at the same distance from the sphere ?