Solution)
a) According to snell's law ,
sin 33 / sin θ2 = n4 / 1 .6 = 1 / 1.6
θ2 = 60.62 degree (Ans)
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b ) since total internal reflection occurs ,
θc in n = 1.2 ,
sin θc = 1 / 1.2 = 0.8333 ;
in n= 1.4 , sin i / sin θc = 1.2 / 1.4
sin i = 0.8333 * ( 1 .2 / 1.4 ) = 0.714
in n = 1.06 , sin θ1 / sin i = 1.4 / 1.06
or sin θ1 = 0.714 * ( 1.4 / 1.6)
so incident angle , θ1 = 38.66 degrees (Ans)
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Good luck!:)
The figure below shows the path of a light beam through several slabs with different indices...
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