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Q.

The refractive index of medium of a rectangular slab varies as μ=1+γ . The ray enter from air to slab at origin in the condition of grazing incidence. The trajectory of ray inside slab is

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a

Straight line

b

parabola

c

ellipse

d

circle

answer is B.

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Detailed Solution

Here,  usinθ=KOr  1+ysinθ=K  For air  1×sin900=K  (grazing incidence)∴K=11+ysinθ=1 ∴sinθ=11+y ⇒tanθ=11+y−1=1y⇒dxdy=1y ⇒ 0xdx= 0y1ydy ⇒x=[y−12+1−12+1]0y⇒x=[2y]0y ⇒x=2y ⇒x2=4y
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