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20 February, 16:46

Radio waves travelling at 3x108 m/s have a frequency of 1.017x108 Hz. Its wavelength is m rounded to the nearest tenth.

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  1. 20 February, 17:11
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    Answer: 3 metres

    Explanation:

    The wavelength of a wave is the distance covered by the wave after one complete cycle. It is measured in metres, and represented by the symbol λ.

    Recall that Velocity (V) = Frequency F x wavelength λ

    In this case, wavelength (λ) = ?

    Frequency of radio wave = 1.017x10^8 Hz

    Velocity of radio waves = 3x10^8 m/s

    Apply V = F λ

    3x10^8 m/s = 1.017x10^8 Hz x λ

    Make λ the subject formula

    λ = (3x10^8 m/s / 1.017x10^8 Hz)

    λ = 2.95 metres (To the nearest tenth, it becomes 3 metres)

    Thus, the wavelength of the radio waves is 3metres
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