A transparent slab of thickness d has a refractive index n (z) that increases with z. Here z is the vertical…

A transparent slab of thickness d has a refractive index n (z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2 >n1,  as shown in the figure. A ray of light is incident with angle θi from medium 1 and emerges in medium 2 with refraction angle θf with a lateral displacement l . Which of the following statement(s) is (are) true?

  1. l is independent of n2
  2. l is dependent on n (z)
  3. n1sinθi=n2-n1sinθf
  4. n1sinθi=n2sinθf

Solution

For parallel slab
n1sinθi=n2sinθf
And l depends on refractive angle in slab
   l depends on refractive index of slab and independent of n2

Asked in: JEE Advanced 2016 (Paper 1)

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