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5 October, 04:19

The tip of a triangle is held 12.0 cm above the surface of a flat pool of water. A submerged swimmer in the pool sees the tip of the triangle at what distance above the water? Let the indices of refraction nwater = 1.33 and nair = 1.00.

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  1. 5 October, 05:53
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    Answer: 9cm

    Explanation:

    Refractive index can also be defined as the ratio of the real depth to the apparent depth.

    Given that the

    Real depth = 12 m

    Refractive index of water = 1.33

    Refractive index of air = 1.00

    nair/nwater = real depth/apparent depth

    Substitute all the parameters into the formula

    1.33/1 = 12 / apparent depth

    Cross multiply

    1.33 Apparent depth = 12

    Apparent depth = 12/1.33

    Apparent depth = 9.02 cm

    Therefore, A submerged swimmer in the pool sees the tip of the triangle at 9cm approximately distance above the water.
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