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14 December, 05:52

Light with a frequency of 7.18 Ã 1014 hz lies in the violet region of the visible spectrum. what is the wavelength of this frequency of light? answer in units of nm.

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  1. 14 December, 08:42
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    The frequency is 7.18 * 10^14 Hz, c = 3 * 10^8 m/s, where c is the speed of light.

    But; c = λf, where λ is the wavelength of the wave and f is the frequency.

    Making λ the subject, we get;

    λ = c/f

    = (3 * 10^8) / (7.18 * 10^14)

    = 4.17827 * 10^-7 m

    but 1 m = 10^9 nm

    Therefore;

    = (4.17827 * 10^-7) * 10^9

    = 417.827 nm

    Hence, the wavelength = 417.827 nm
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