Case Study Based Question on Prism
A prism is a solid transparent medium bounded by three rectangular faces with a triangular base and a top. A ray of light incident at angle I on one face of a prism suffers two refractions on passing through a prism. Hence it deviates through a certain angle from its original path. The angle of deviation becomes minimum (δ=δm) for a certain value of angle i. In such a condition, the refracted ray inside the prism becomes parallel to its base. An expression for refractive index µ of the material of the prism can be obtained in terms of angle A and angle δm.
(a) Show in a figure the variation of angle δ with angle of incidence i. [1 Marks]
(b) Show that for a prism of small angle A, the refractive index µ of its material can be written as µ=1+[δm/A] [1 Marks]
(c) A ray of light passes through an equilateral prism such that both the angle of incidence and the angle of emergence are equal to the angle of prism A. Find the refractive index of the material of the prism, in terms of A. [2 Marks]
OR
(d) A ray of light passes through a prism of angle 75°, as shown in the figure. The refractive index of the material of the prism, with respect to its surrounding is √2. Find the angle of incidence i. [2 Marks]
Detailed Solution : Coming Soon
