A light ray is incident on a glass slab of thickness 4 3 cm and refractive index 2 . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of

Question

A light ray is incident on a glass slab of thickness 4 3 ​ cm and refractive index 2 ​ . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is _____ cm . ( Given sin 1 5 ∘ = 0.25 )

TestHub · Accepted Answer

​ i = θ c ​ ⇒ i = sin − 1 ( μ 1 ​ ) ⇒ i = 4 5 ∘ ​ and according to snell's law ​ 1 sin 4 5 ∘ = 2 ​ sin r ⇒ r = 3 0 ∘ ​ Lateral displacement Δ = c o s r t s i n ( i − r ) ​ ​ ⇒ Δ = cos 3 0 ∘ 4 3 ​ × sin 1 5 ∘ ​ ⇒ Δ = 2 cm ​

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