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24 June, 11:30

The speed of an electromagnetic wave is a constant, 3.0 * 108 m/s. The wavelength of a wave is 0.3 meters. What is the frequency? A. 9.0 * 108 Hz B. 1.0 * 109 Hz C. 1.0 * 108 Hz D. 9.0 * 107 Hz

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  1. 24 June, 13:14
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    Answer: option B. 1.0 * 10⁹ Hz

    Explanation:

    The speed, s, of a wave, equals the product of its frequency, ν, times its wavelength, λ:

    s = νλ.

    As the question states, the speed of an electromagnetic wave is a constant, c, equal to 3.0 * 10⁸ m/s.

    Substituting this constant in the equation for the speed of the wave, you get:

    c = νλ.

    From that equation, you can solve for the frequency to show the inverse realation of frequency and wavelength:

    ν = c / λ

    Now, you just have to substitute values and compute:

    ν = c / λ = 3.0 * 10⁸ m/s / 0.3m = 10. * 10⁸ Hz = 1.0 * 10⁹ Hz
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