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26 October, 05:25

A fisherman noticed that a float makes 30 oscillations in 15 seconds. The distance between two consecutive crests is 2 m. What is the period and frequency of the wave? What is the wave speed?

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  1. 26 October, 05:38
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    Period T = 0.5 s

    Frequency F = 2 Hz

    Wave speed V = 4 m/s

    Explanation:

    Given that the

    Number of oscillations = 30

    Time taken = 15 seconds

    The distance between two consecutive crests is called wavelength

    Wavelength = 2m

    Period is the ratio of time and the number of oscillations

    Period T = 15/30 = 0.5 seconds

    Frequency F is the reciprocal of period. That is,

    F = 1/T

    F = 1/0.5 = 2Hz

    Wave speed V is the product of frequency and wavelength

    V = 2 * 2 = 4m/s
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