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A swimming pool filled with water to its edge, the depth of the water is 2m and an electric lamp is placed at a distance equals 8m from the edge of the pool over a column its height 6m. Calculate the length of non-apparent part from the pool bottom with the light does not reach to it, given the refractive index of water is 4?3.

  • Physics -

    I believe that the refractive index of water is n=1.3

    Incidence angle α.
    sin α =8/sqrt(8²+6)=0.8
    sinα/sinβ=n =>
    sinβ= sinα/n =0.8/1.3=0.61 =>β= 38°
    x=h•tan β=2•tan38°=1.56 m

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