Question: A ray is incident at an angle 6<sup>0</sup> on side AB of a small angle prism ABC, of prism angle 3<...

Question

A ray is incident at an angle 6⁰ on side AB of a small angle prism ABC, of prism angle 3⁰. If r₁ and r₂ are the angles made by ray inside the prism with normals of side AB and AC respectively, then (r₁ + r₂) is :

Answer 1

Solution

Now r₂ and r₁ will be in opposite direction. By geometry.

A + (90 – r₁) + (90 + r₂) = 180⁰ .... (i)

and $\frac { \mathrm { i } } { \mathrm { r } _ { 1 } }$ = 1.5 .. (ii)

Solving r₁ = 4⁰

r₂ = 1⁰

r₁ + r₂ = 5⁰