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8 August, 18:41

How much time does it take a pulse of light to travel through 150 m of water?

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  1. 8 August, 19:43
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    6.65*10⁻⁷ s

    Explanation:

    Speed of light in water = Total distance traveled in water/time

    c = d/t ... Equation 1

    Where c = speed of the light pulse in water, d = distance traveled in water, t = time.

    also

    c = v/n ... Equation 2

    Where v = speed of light in air, n = refractive index of water

    Substituting equation 2 into equation 1

    v/n = d/t

    making t the subject of the equation,

    t = nd/v ... Equation 3

    Given: 150 m.

    Constant: n = 1.33, v = 3.0*10⁸ m/s

    Substitute into equation 3

    t = 1.33 (150) / 3.0*10⁸

    t = 6.65*10⁻⁷ seconds.

    Hence the time = 6.65*10⁻⁷ s
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