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The equation , should be used when trying to find out the kinetic energy of an ejected electron. Also, you may rearrange the terms to solve for hv in which this would be the energy of the photon released. Notice that is also equal to . This means when combined, The energy of the photon (hv) minus phi (work function) is equal to the kinetic energy of the electron. This can be rewritten as . This makes sense because the kinetic energy of the electron should equal the energy of the photon due to conservation of energy.
You can use c = λ ν to find the wavelength when you are given the frequency, or vice versa. You can combine this formula with E = h ν to get E = hc/λ to solve for either the photon energy or the wavelength, as long as you know one of the 2 variables.
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