zegangke6780 zegangke6780
  • 16-05-2018
  • Mathematics
contestada

The polarizing angle in air for diamond is 67.4°. calculate the critical angle inside the diamond for total internal reflection.

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jushmk
jushmk jushmk
  • 25-05-2018
Polarizing angle, also known as Brewster's angle, is the angle at which light should be incident for reflection not to take place.
It is given by;

Polarizing angle = tan^-1 (n2/n1), where n2 = index of diamond, n1 = index of air (= 1)

Sunstituding
67.4 = tan^-1(n2/n1) => tan 67.4 = n2/1 => n2 = tan 67.4 = 2.4023

If the light moves in the opposite direction;
Sin (critical angle) = n1/n2 = 1/2.4023 = 0.4163
Critical angle = Sin^-1(0.4163) = 24.60°
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