An isosceles prism of angle 120degree has a refractive index 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerge from the opposite faces

Options

A. Are parallel to each other
B. Air diverging
C. Make an angle `2 sin^(-1)(0.72)` with each other
D. Make an angle `2{sin^(-1)(0.72)-30^(@)}` with each other

Answer

D

Explanation

At point `A.(sin 30^(@))/(sin r)=(1)/(1.44)`
`impliesr=sin^(-1)(0.72)`also`/_BAD=180^(@)-/_r`
In rectangle `ABCD,/_A+/_B+/_C+/_D=360^(@)`
`implies(180^(@)-r)+60^(@)+(180^(@)-r)+theta=360`
`impliestheta=2[sin^(-1)(0.72)-30^(@)]`