A plane convex lens has aperture diameter of 8 mm and thickness of the lens at the centre is 3 mm. The refractive index of the material of the lens is `sqrt(3)` . A light ray is incident at mid point P of the curved surface at an angle of incidence of `60°`.
(a) Calculate the angular deviation suffered by the ray as it passes through the lens. (b) Find the lateral shift in the path of the ray as it passes through the lens.
(c) Find the radius of curvature of the curved surface.
(d) If a narrow beam of light is incident at P parallel to the axis shown, where will it get focused. Take `2sqrt(3) (sqrt(3)-1) ~~2.5`

Answer

(a) 0 (b) `sqrt(3)mm` (c) `(25)/(6)mm` (d) At a distance `(3+(7)/(sqrt(3)))mm` from P.