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22 May, 20:22

Calculate wavelength in metres and nanometers of green light whose frequency is 5.7 x 10^14 Hz.

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  1. 22 May, 20:27
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    5.3 x 10⁻⁷ m

    Explanation:

    Data Given

    frequency = 5.7 x 10¹⁴ Hz.

    Convert Hz to per seconds (s⁻¹)

    1 Hz = 1 s⁻¹

    5.7 x 10¹⁴ Hz = 1 x 5.7 x 10¹⁴ = 5.7 x 10¹⁴ s⁻¹

    wavelength = ?

    Solution:

    Formula used to calculate wavelength

    f = c/λ

    rearrange the above equation

    λ = c/f ... (1)

    Where:

    c = speed of light = 3 x 10⁸ ms⁻¹

    λ = wavelength

    put the values in above equation 1

    λ = 3 x 10⁸ ms⁻¹ / 5.7 x 10¹⁴ s⁻¹

    λ = 5.3 x 10⁻⁷ m

    So the wavelength of light = 5.3 x 10⁻⁷ m
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