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8 July, 19:25

A radio station transmits its signal at 94.1 MHz. What is the wavelength of the signal?

1. 0.00319 m

2. 319 m

3. 3.19 m

4. 3.19 * 106 m

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Answers (2)
  1. 8 July, 19:35
    0
    Answer;

    0.00319 m

    Explanation:

    We are given;

    Frequency of the radio wave as 94.1 MHz

    We are required to calculate the wavelength of the wave;

    We know that;

    Speed of a wave = Frequency * Wavelength

    In this case, the speed of the wave is 2.998 * 10^8 m/s

    Rearranging the formula;

    But; 1 MHz = 1 x 10^6 Hz

    Wavelength = Speed : Frequency

    = 2.998 * 10^8 m/s : 9.41 * 10^7 m/s

    = 0.00319 m

    The wavelength of the wave is 0.00319 m
  2. 8 July, 19:46
    0
    3) 3.19 m

    Explanation:

    Given dа ta:

    Frequency of signals = 94.1 MHz

    Wavelength = ?

    Solution:

    First of all we will convert the MHz into Hz.

    94.1 * 10⁶ Hz

    Formula:

    speed of light = wavelength * frequency

    wavelength = speed of light / frequency

    wavelength = 3 * 10⁸ m/s / 94.1 * 10⁶ s⁻¹

    Hz = s⁻¹

    wavelength = 3 * 10⁸ m/s / 94.1 * 10⁶ s⁻¹

    wavelength = 0.0319 * 10² m

    wavelength = 0.0319 * 10² m

    wavelength = 3.19 m
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