Sapphire has an index of refraction of 1.77. The critical angle for sapphire in air with an index of refraction of 1.0 is _____ degrees.

Question

Sapphire has an index of refraction of 1.77. The critical angle for sapphire in air with an index of refraction of 1.0 is _____ degrees.

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Sapo 3 months 2021-08-02T14:41:26+00:00 1 Answers 8 views 0

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    2021-08-02T14:42:37+00:00

    Answer:

    The critical angle is 34 degree.

    Explanation:

    Given the index refraction = 1.77

    We have to find the critical angle of sapphire when the air has the index of refraction of 1.0.

    Use the below formula to find the angle.

    sin(θ)c = 1 / n

    sin(θ) c  = 1 / 1.77

    (θ) c  = Sin^-1 (0.565)

    = 34.4 degree

    = 34 degrees.

    Thus, the critical angle is 34 degree.

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