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23 November, 01:19

A friend of yours is loudly singing a single note at 412 Hz while racing toward you at 25.8 m/s on a day when the speed of sound is 347 m/s. What frequency do you hear?

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  1. 23 November, 01:47
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    5541Hz

    Explanation:

    If the frequency of a wave is directly proportional to the velocity we have;

    F = kV where;

    F is the frequency

    K is the constant of proportionality

    V is the velocity

    Since f = kV

    K = f/v

    K = F1/V1 = F2/V2

    Given f1 = 412Hz v1 = 25.8m/s f2 = ? V2 = 347m/s

    Substituting in the formula we have;

    412/25.8=f2/347

    Cross multiplying

    25.8f2 = 412*347

    F2 = 412*347/25.8

    F2 = 5541Hz

    The frequency heard will be 5541Hz
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