For the given incident ray as shown in the figure, for total internal reflection of this ray, the required refractive index of the prism will be [figure]
- 3+12
- 2+12
- 32
- 76
Answer
(3) 32
Solution
At the top face, i = 45 :
45 = r
⇒ r = 1 2
The faces are perpendicular, so the angle of incidence on the side face is (90 - r).
For total internal reflection: (90 - r) 1
⇒ r 1
⇒ 1 - 12 2 1 2
⇒ 2 32
∴ = 32 (minimum required value)
Answer: (3)