We're asked to calculate the energy of a photon of wavelength 0.154 nm.
Recall that the energy of a photon is given by:
▪E = energy = J
▪h = Planck's constant = 6.626x10-34 J∙s
▪ν = frequency = Hz or s-1
In the equation, the frequency of the photon is used but the wavelength is given. We can relate frequency and wavelength using the speed of light:
The relationship between wavelength and frequency is as follows:
▪ c = speed of light = 3.0x108 m/s
▪ λ = wavelength, m
Rearranging the above equation:
Calculate the energy of a photon of wavelength 0.154 nm .