A person is swimming 1.1 m beneath the surface of the water in a swimming pool. A child standing on the diving board drops a ball into the p

Question

A person is swimming 1.1 m beneath the surface of the water in a swimming pool. A child standing on the diving board drops a ball into the pool directly above the swimmer. The swimmer sees the ball dropped from a height of 4.2 m above the water. From what height was the ball actually dropped?

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Ngọc Diệp 4 years 2021-09-01T17:51:30+00:00 1 Answers 21 views 0

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  1. Calantha
    0
    2021-09-01T17:52:49+00:00
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    Answer:

    The actual height is  A =3.158 \ m

    Explanation:

    From the question we are told that

       The depth of the person is  d = 1.1 \ m

        The apparent height  is  D = 4.2 \ m

    Generally

         The refractive index of water is  n_w = 1.33

          The refractive index of the air is  n_a = 1

    The apparent depth is mathematically represented as

          D = A [\frac{n_w}{n_a} ]  

    substituting values

         4.2 = A [\frac{1.33}{1} ]  

    =>   A = \frac{4.2 }{1.33}

          A =3.158 \ m

                     

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