Question

Find the value of the angle of emergence form the prism. Refractive index of the glass is √3.

(1) 60° 

(2) 30° 

(3) 45° 

(4) 90°

Answer 1

Correct option is (1) 60°

From the ray diagram shown in figure.

At point P, apply Snell's law,

μ_airsin e = μ_glasssin30^∘

⇒ sin e = √3 × 1/2

⇒ ∠e = 60^∘

Answer 2

Option : (1). 60°

r₁ + r₂ = A = 30° 

r₂ = 30° (r₁ = 0°) 

From Snell's law,

√3sinr₂ = 1 x sine

√3sin30° = sine

e = 60°