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22 October, 12:12

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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  1. 22 October, 13:24
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    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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