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2 December, 06:18

A large fraction of the ultraviolet (UV) radiation coming from the sun is absorbed by the atmosphere. The main UV absorber in our atmosphere is ozone, / (/rm O_3/). In particular, ozone absorbs radiation with frequencies around 9.38*1014 / ({/rm / rm Hz}/). What is the wavelength / (/texttip{/lambda }{lambda}/) of the radiation absorbed by ozone?

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  1. 2 December, 07:38
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    The wavelength of the radiation absorbed by ozone is 319.83 nm

    Explanation:

    Given;

    frequency of absorbed ultraviolet (UV) radiation, f = 9.38*10¹⁴ Hz

    speed of the absorbed ultraviolet (UV) radiation, equals speed of light, v = 3 x 10⁸ m/s

    wavelength of the absorbed ultraviolet (UV) radiation, λ = ?

    Apply wave equation for speed, frequency and wavelength;

    v = fλ

    λ = v / f

    λ = (3 x 10⁸) / (9.38*10¹⁴)

    λ = 3.1983 x 10⁻⁷ m

    λ = 319.83 x 10⁻⁹ m

    λ = 319.83 nm

    Therefore, the wavelength of the radiation absorbed by ozone is 319.83 nm
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