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22 December, 17:22

The emission spectrum of gold shows a line of wavelength 2.76x10^-7m. What is the corresponding frequency of this light? How much energy is emitted in production of this radiation?

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  1. 22 December, 17:55
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    The formula relating wavelength and frequency is:

    f = c / ʎ

    where f is frequency, c is speed of light = 3 x 10^8 m/s, and ʎ is wavelength of light = 2.76 x 10^-7 m

    f = (3 x 10^8 m/s) / 2.76 x 10^-7 m

    f = 1.09 x 10^15 s-

    The energy can be calculated using the formula:

    E = h f

    where h is Planck’s constant = 6.626 x 10^-34 J s

    E = (6.626 x 10^-34 J s) * 1.09 x 10^15 s-

    E = 7.2 x 10^-19 J
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