Question

solve question number 2

Answer 1

light doesn't emerge from AC ,
it means refract light slide along AC .

according to question, incident light parallel to BC ,
now,
you see incident light and angle of prism form right angle triangle .
let incident AB at P and strike AC at Q
then, ∆ PAQ ,

angle PAQ + angle APQ +angle AQP =180°

60° + 90° + angle AQP = 180°

angle AQP = 30°

so, incident angle = (90° -30°) = 60°

and refracted angle = 90°
now,
use formula,
U1sin¢ = U2sin@
U1sin60° =1 × sin90°
U1{√3/2} = 1 × 1 = 1

U1 = 2/√3

hence refractive index of prism = 2/√3