JEE Main202227 Jul 2022Evening ShiftPhysicsRay OpticsActual
A thin prism of angle 6 ° and refractive index for yellow light n Y 1 . 5 is combined with another prism of angle 5 ° and n Y = 1 . 55 . The combination produces no dispersion. The net average deviation δ produced by the combination is 1 x ° . The value of x is _____ .
Correct answer
0
Step-by-step solution
The formula for deviation due to a thin prism is given by, δ = A μ - 1 . Therefore, for prism 1 : δ 1 = 6 1 . 5 - 1 = 3 ° And for prism 2 : δ 2 = - 5 1 . 55 - 1 = - 2 . 75 ° ⇒ δ net = δ 1 + δ 2 = 3 ° - 2 . 75 ° = 0 . 25 ° = 1 4 ° Therefore, x = 4 .