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Saturday, August 20, 2011

Refractive Index!!!(A Physics Related Question In Mathematics)

Let there be 2011 crystal bars of different materials with a same thickness of 10 units and of same size. The bars are placed from bottom to top one after another having refractive indices 1, 1.001, 1.002, 1.003,.....(bottom to top) respectively. Now what is apparent depth when looking from top to bottom?

[Note: A refractive index of a crystal material(b) or a medium(b) with respect to 1st material(a) or 1st medium(a) is defined by aμb=sin(i)/sin(r) where i=incident angle of 1st medium and r=refractive angle of 2nd medium]