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21 June, 12:10

Amateur radio operators in the United States can transmit on several bands. One of those bands consists of radio waves with a wavelength near 40nm.

Calculate the frequency of these radio waves.

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  1. 21 June, 14:06
    0
    7.5 * 10¹⁵ Hz

    Explanation:

    Given data

    Wavelength of the radio waves (λ) : 40 nm = 40 * 10⁻⁹ m = 4.0 * 10⁻⁸ m Frequency of the radio waves (ν) : ? Speed of light (c) : 3.00 * 10⁸ m/s

    We can determine the frequency of the radio waves using the following expression.

    c = λ * ν

    ν = c/λ

    ν = (3.00 * 10⁸ m/s) / 4.0 * 10⁻⁸ m

    ν = 7.5 * 10¹⁵ s⁻¹ = 7.5 * 10¹⁵ Hz
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