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Clara Cho wrote:How would you calculate the longest wavelength of light that can remove an electron when given the work function?
The longest wavelength of light would correlate to the least amount of energy a photon has to be in order to eject an electron from a metal surface, which means it would be equivalent to the work function. So since E(photon) = work function, you can set work function = hv. Then use the frequency to find the wavelength of the photon.
When they’re asking for the longest wavelength of light, using the equation c=(wavelength)(frequency), you can see that this means looking for light with the smallest frequency. Frequency correlates to energy of the photon by the equation E=h(frequency) where the smallest possible frequency would mean the most minimal amount of energy to remove an electron. This is equal to the work function and that would be your answer.
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