An equilateral prism ABC is placed in air with its base side BC lying horizontally along x-axis as shown in the figure. A ray given by `sqrt(3)z +x=10` is incident at a point P on the face AB of the prism
(a) Find the value `mu` from which the ray grazes the face AB
(b) Find the direction of the initially refracted ray if `mu = (3)/(2)`
(c) Find the equation of ray coming out of the prism if bottom BC is silvered ?

Answer

(a) `(2)/(sqrt(3))`; (b) Along -z axis; (c) `sqrt(3)x + x = 10`