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30 August, 13:15

The critical angle between a medium and air is 430. What is the speed of light in that medium?

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  1. 30 August, 14:59
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    The speed of light is that medium is 281907786.2 m/s.

    Explanation:

    since the critical angle is Фc = 430, we know that the refractive index is given by:

    n = 1/sin (Фc)

    = 1/sin (430)

    = 1.06

    then if n is the refractive index of the medium and c is the speed of light, then the speed of light in the medium is given by:

    v = c/n

    = (3*10^8) / (1.06)

    = 281907786.2 m/s

    Therefore, the speed of light is that medium is 281907786.2 m/s.
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