What is the critical angle θcrit for light propagating from a material with index of refraction of 1.50 to a material with index of refract

Question

What is the critical angle θcrit for light propagating from a material with index of refraction of 1.50 to a material with index of refraction of 1.00?

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Ngọc Diệp 4 years 2021-07-18T09:01:49+00:00 1 Answers 111 views 0

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  1. linhdan
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    2021-07-18T09:02:57+00:00
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    Answer:

    The critical angle for light is 41.81 degrees.

    Explanation:

    We have, light is propagating from a material with index of refraction of 1.50 to a material with index of refraction of 1. It is required to find the critical angle for light. It is angle for which the angle of refraction is equal to 90 degrees. It is given by :

    \sin\theta_c=\dfrac{n_2}{n_1}\\\\\theta_c=\sin^{-1}(\dfrac{n_2}{n_1})\\\\\theta_c=\sin^{-1}(\dfrac{1}{1.5})\\\\\theta_c=41.81^{\circ}

    So, the critical angle for light is 41.81 degrees.

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