A tank holds a 2.38-m thick layer of oil that floats on a 1.24-m thick layer of brine. Both liquids are clear and do not intermix. Point O i

Question

A tank holds a 2.38-m thick layer of oil that floats on a 1.24-m thick layer of brine. Both liquids are clear and do not intermix. Point O is at the bottom of the tank, on a vertical axis. The indices of refraction of the oil and the brine are 1.27 and 1.81, respectively. A ray originating at O reaches the brine-oil interface at the critical angle. What is the distance of this point from the axis?

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Vodka 4 years 2021-08-29T00:00:12+00:00 1 Answers 17 views 0

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  1. Orla
    0
    2021-08-29T00:01:35+00:00
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    Answer:

    1.22m

    Explanation:

    Since

    sinθ  =  refraction-of-the-oil/refraction-of-the-brine =1.27/1.81 = 0.702

    θ = sin^-^1(0.702)

    Hence

    Critical angle = θ = 44.58°

    tan(θ) = d/1.24

    tan(44.58°) = d/1.24

    Hence, 0.98 = d/1.24

    The distance d = 0.98 x 1.24 = 1.22m

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