the speed of light in a certain medium is 0.6c. find critical angle , if the index of refraction is 1.67​

Question

the speed of light in a certain medium is 0.6c. find critical angle , if the index of refraction is 1.67​

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Thu Nguyệt 5 years 2021-08-19T12:42:06+00:00 1 Answers 21 views 0

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  1. Xavia
    0
    2021-08-19T12:43:49+00:00
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    Answer:

    \theta_c = 36.78^o

    Explanation:

    The relationship between the refractive index and the critical angle is given as follows:

    \eta = \frac{1}{Sin\ \theta_c} \\\\Sin\ \theta_c = \frac{1}{\eta}\\\\\theta_c = Sin^{-1}(\frac{1}{\eta} )

    where,

    η = refractive index = 1.67

    θc = critical angle =?

    Therefore,

    \theta_c = Sin^{-1}(\frac{1}{1.67} )

    \theta_c = 36.78^o

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