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18 June, 16:45

A stone is dropped into a well. The sound of the splash is heard 6.25 s later. What is the depth of the well? (Take the speed of sound to be 343 m/s.)

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  1. 18 June, 17:10
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    depth of well is 163.30 m

    Explanation:

    Given data

    speed of sound = 343 m/s

    timer = 6.25 s

    to find out

    depth of well

    solution

    let us consider depth d

    so equation will be

    depth = 1/2 * g * t² ... 1

    and

    depth = velocity of sound * time ... 2

    here we have given time 6.25 that is sum of 2 time

    when stone reach at bottom that time

    another is sound reach us after stone strike on bottom

    so time 1 + time 2 = 6.25 s

    so from equation 1 and 2 we get

    1/2 * g * t² = velocity of sound * time

    1/2 * 9.8 * t1² = 343 * (6.25 - t1)

    t1 = 5.77376 sec

    so height = 1/2 * g * t²

    height = 1/2 * 9.8 * (5.773) ²

    height = 163.30 m
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