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If an electron is ejected with zero kinetic energy, what would it look like in real life? How would the electron actually move? Also, if kinetic energy is zero I guess this means that the work function (threshold energy) and hv are equal to each other?
The concept is quite similar to escape velocity, the lowest velocity an object needs to escape gravity. The electron will barely escape the surface of the material with no leftover energy. It will continue to move; however, its speed will keep decreasing as it gets further and further, but will never quite come to a complete stop (velocity approaches 0).
You are correct in assuming that if the kinetic energy is zero, that means that the work function is equal to (E=hv), as the energy of the photon was the exact amount needed for the particular threshold. Therefore, the electron is released but has no 'leftover' energy for kinetic energy, so it has no velocity.
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