Ultraviolet light is responsible for sun tanning. Find the wavelength (in nm) of an ultraviolet photon whose energy is 4.4×10-19 J.
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Let L = wavelength [m]
h = Planck's constant = 6.62606957 x 10^-34 [Js]
c = speed of light = 2.9979 x 10^8 [m/s]
Given: E = 4.4 x 10^-19 J
L = h*c/E
L = 6.62606957 x 10^-34 [Js] * 2.9979 x 10^8 [m/s] / 4.4 x 10^-19 [J]
= 4.5146 x 10^-7 [m]
= 451.46 X 10^-9 [m]
= 451.46 [nm]
h = Planck's constant = 6.62606957 x 10^-34 [Js]
c = speed of light = 2.9979 x 10^8 [m/s]
Given: E = 4.4 x 10^-19 J
L = h*c/E
L = 6.62606957 x 10^-34 [Js] * 2.9979 x 10^8 [m/s] / 4.4 x 10^-19 [J]
= 4.5146 x 10^-7 [m]
= 451.46 X 10^-9 [m]
= 451.46 [nm]