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?

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