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 quater cylinder of radius R and refractive index 1.5 is placed on a table .A point object P is kept at a distance of m R from it.Find the value of m for which a ray from P will emerge parallel to the table as shown in fir.2.65. .

A parallel beam of light is incident on a glass prism in the shape of a quarter cylinder of radius R=0.5 m and refractive index n 1.5 placed on a horizontal table as shown in the figure. Beyond the cylinder a patch of light is found whose nearest distance x from the cylinder is

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?

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?

A transparent sphere of radius R and refractie index mu is kept in air. At what distance from the surface of the sphere shold a point object be placed so as to form a rea image at the same distance from the sphere?

A transparent thin film of uniform thickness and refractive index n_(1) =1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n_(2) =1.5 , as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f_(1) from the film, while rays of light traversing from glass to air get focused at distance f_(2) from the film, Then