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26 December, 06:34

A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 43.0 vibrations in 33.0 s. Also, a given maximum travels 424 cm along the rope in 15.0 s. What is the wavelength

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  1. 26 December, 06:52
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    0.218

    Explanation:

    Given that

    Total vibrations completed by the wave is 43 vibrations

    Time taken to complete the vibrations is 33 seconds

    Length of the wave is 424 cm = 4.24 m

    to solve this problem, we first find the frequency.

    Frequency, F = 43 / 33 hz

    Frequency, F = 1.3 hz

    Also, we find the wave velocity. Which is gotten using the relation,

    Wave velocity = 4.24 / 15

    Wave velocity = 0.283 m/s

    Now, to get our answer, we use the formula.

    Frequency * Wavelength = Wave Velocity

    Wavelength = Wave Velocity / Frequency

    Wavelength = 0.283 / 1.3

    Wavelength = 0.218
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