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22 June, 02:09

What is the energy (in joules) of an ultraviolet photon with wavelength 150 nm what is its frequency?

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  1. 22 June, 06:01
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    We can calculate energy by using Planck's equation that is;

    E = h c / ʎ

    where,

    h is the Planck’s constant = 6.626 x 10⁻³⁴ m² kg / s

    c is the speed of light = 3 x 10₈ m/s

    ʎ is the wavelength of light = 150 nm = 150 x 10⁻⁹ m

    Now pot the values in equation;

    E = (6.626 x10⁻³⁴ m² kg / s) x (3 x 10⁸ m/s) / (150 x 10⁻⁹ m)

    E = 1.325 x 10⁻¹⁸ J

    Now by using the following equation we can calculate the frequency;

    E = hf

    f = E/h

    f = 1.325 x 10⁻¹⁸ / 6.626 x 10⁻³⁴

    f = 1.9997 x 10¹⁵ Hz
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