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A light ray enters into a transparent 1 m thick slab at grazing angle.
Path followed by light ray inside the slab is as shown in the figure. The
refractive index of slab varies as
m=(k1y +k2)1/2  where k1 = 1 per meter and k2 = 1.

 Questions Based on this write up

Q1: Path followed by light ray inside slab will be given as :
        (a) y
2=x               (b) y2=x2/2
1/2        (d) y=4x2

Q2: Slope of path followed by light ray inside
       the slab just before leaving the slab is :
       (a) 1               (b) 1/2           
1/3             (d) 1/4.

Q3: After leaving the slab the light ray will be :
       (a) along x-axis               (b) along y-axis
       (c) along line y = x          (d) along line y = x/2.

Q4: Coordinates where light ray leaves the slab are :
        (a) (1,1/2)          (b) (1/2,1)       
(1,1/4)          (d) (1/4,1)

Q5: Angle between incident ray and emergent ray is 1:
       (a) zero       (b) 30        (c) 60       (d) 90.

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