A uniform,horizontal beam of light is incident upon a quarter cylinder of radius`R=5`cm and has a refractive index `2//sqrt(3)`.A patch on the table for a distance `'x'`from the cylinder is unilluminated ,find the value of `'x'`?

A uniform, horizontal parallel beam of light is incident upon a prism as shown. The prism is in the shape of a quarter cylinder, of radius 5cm, and has refractive index 5/3. The width of the regionat which the incident rays after normal incidence on plane surface and subsequent refraction at curved surface intersect on x axis is (Neglect the ray which travels along x-axis)

A horizontal ray of light is incident on a solid glass sphere of radius R and refractive index mu . What is net deviation of the beam when it emerged from the other side of the sphere?

A light beam of diameter sqrt(3R) is incident symmetrically on a glass hemispher of radius R and of refractive index n=sqrt(3) . Find radius of the beam at the base of hemispher.

A narrow parallel beam of light falls on a glass sphere of radius R and refractive index mu at normal incidence. The distance of the image from the outer edge is given by-

A parallel beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index 2.0 as shown in figure. The position of the image formed by refraction at the first surface is :

A glass prism in the shape of a quarter cylinder lies on a horizontal table. A uniform horizontal light beam falls on its vertical plane surface as shown in the figure. If the radius of the cylinder is R = 5cm and the refractive index of the glass is n = 1.5 where on the table beyond the cylinder will a path of light be found? (in cm) Light R

A parallel beam of light is incident normally on the flat surface of a hemisphere of radius 6 cm and refractive index 1.5 , placed in air as shown in figure (i). Assume paraxial ray approxiamtion. .

As shown, a narrow beam of light is incident onto a semi-circular glass cylinder of radius R. Light can exit the cylinder when the beam is at the centre. When the beam is moved parallel to a maximum distance d from the central line, no light can exit the cylinder from its lower surface. Find the refractive index of the glass.

A parallel beam of light is incident on a lens of focal length 10 cm. A parallel slab of refractive index 1.5 and thickness 3 cm is placed on the other side of the lens. Find the distance of the final image from the lens. .

A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index mu=1.5 as shown. The position of the image formed by refraction at the image formed by refraction at the spherical surface only as