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24 March, 03:34

1. a.) Calculate the wavelength of light which has a frequency of 5.25 x 10 14 Hz.

b.) Express in nm.

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Answers (1)
  1. 24 March, 04:07
    0
    5.71 * 10² nm

    Explanation:

    The product of wavelength and frequency of a wave gives the speed of the wave.

    Therefore;

    Velocity of wave = Wavelength * Frequency

    c = f * λ

    In our case;

    Frequency = 5.25 * 10^14 Hz

    Speed of light = 2.998 * 10^8m/s

    But;

    λ = c : f

    = 2.998 * 10^8m/s : 5.25 * 10^14 Hz

    = 5.71 * 10^-7 m

    But; 1 M = 10^9 nm

    Therefore;

    wavelength = 5.71 * 10^-7 * 10^9

    = 5.71 * 10² nm

    The wavelength of light wave 5.71 * 10² nm
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