Find the variation of Refractive index assuming it to be a function of y such that a ray entering origin at grazing incident follows a parabolic path `y = x^(2)` as shown in figure.

A prism of angle A and refractive index 2 is surrounded by medium of refractive index sqrt3 . A ray is incident on side PQ at an angle of incidence i (0leile90^(@)) as shown in the figure-. The refracted ray is then incident on side PR of prism. The minimum angle A of prism for which ray incident on side PQ does not emerge out of prism from side PR (for any value of i) is:

A system of coordinatees is drawn in a medium whose refractive index vaires as mu=(2)/(1+Y^(2)) where 0 le y le 1 . A ray of light is incident at origin at an angle 60^(@) with y-axis as shown in figure. At point P, the ray becomes parallel to x-axis, the volue of H is -

A ray is incident on a sphere of refractive index sqrt(2) as shown in figure. Angle of refraction of the ray inside sphere is 30^(@) if total deviation suffered by the ray is 30x^(0) , then find x.

A transparent solid cylinderical rod has a refractive index of 2sqrt(3) . It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle theta for which the light ray grazes along the wall of the rod is

A transparent solid cylinder rod has a refractive index of (2)/(sqrt(3)) It is surrounded by air. A light ray is incident at the mid point of one end of the rod as shown in the figure. The incident angle theta for which the light ray grazes along the wall of the rod is

A transparent solid cylinder rod has a refractive index of 2/sqrt(3) . It is surrounded by air. A light ray is incident at the mid point of one end of the rod as shown in the figure. The incident angle theta for which the light ray grazes along the wall of the rod is

A transparent solid cylindrical rod has a refractive index of (2)/(sqrt3) .It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle theta for which the light ray grazes along the wall of the rod is:

A prism of refractive index sqrt(2) has refractive angle 60^(@) . Find the angle of incidence so that a ray minimum deviation.