A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72.…

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is

  1. 1.21
  2. 1.30
  3. 1.36
  4. 1.42

Solution

tanθC=rh=5.77103

θC=30o
sinθC=μlμb
μl=2.72×12=1.36

Asked in: JEE Advanced 2014 (Paper 2)

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