A dolphin emits a sound wave that hits a target 120 m away. The wave reflects back from the target to the dolphin. If the Bulk modulus of se

Question

A dolphin emits a sound wave that hits a target 120 m away. The wave reflects back from the target to the dolphin. If the Bulk modulus of seawater is 2.3 x 10° N/m2 and the density of seawater is 1022 kg/m3. How long does it take the sound wave for the round trip?

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Cherry 5 years 2021-08-07T14:37:29+00:00 1 Answers 17 views 0

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  1. Nem
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    2021-08-07T14:39:09+00:00
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    Answer:

    The time taken for the sound wave to make the round trip is 0.16 s.

    Explanation:

    Given;

    distance traveled by the sound wave, d = 120 m

    bulk modulus of sea water, B = 2.3 x 10⁹ N/m²

    density of sea water, ρ = 1022 kg

    The speed of the wave is given by;

    v = \sqrt{\frac{B}{\rho} } \\\\v = \sqrt{\frac{2.3*10^9}{1022} }\\\\v = 1500.16 \ m/s

    Speed is given by;

    Speed = \frac{Distance}{Time}

    total distance of the round trip = 2 x 120m = 240 m

    Time taken for the sound wave to make the round trip is given by;

    Time = \frac{Distance}{Speed} \\\\Time = \frac{240}{1500.16} \\\\Time = 0.16 \ second

    Therefore, the time taken for the sound wave to make the round trip is 0.16 s.

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