How much greater is the energy of a photon of ultraviolet radiation (wavelength=3.00x10^-7 m) than the energy of an average photon of sunlight (wavelength=5.60x10^-7 m)?
Energy of photons is proportional to frequency, so inversely proportional to wavelength. Therefore the ratio of ultraviolet to average energy is (1/3*10-7)/(1/5.6*10-7) = 5.6/3 (because the 10-7s cancel). So ultraviolet energy is
5.63=1.8666666666666667times greater than the average.
Energy of photons is proportional to frequency, so inversely proportional to wavelength. Therefore the ratio of ultraviolet to average energy is (1/3*10-7)/(1/5.6*10-7) = 5.6/3 (because the 10-7s cancel). So ultraviolet energy is
5.63=1.8666666666666667times greater than the average.