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Every mrtal has a definite work function...

Every mrtal has a definite work function. Why do all photoelectrons not come out with same energy, if incident radiation is monochromatic? Why is there an energy distribution of photoelectrons?

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Work function of a metal is the minimum energy required to knock out an electron from the conduction band. Since electrons are present in a continuous band of energy levels, so different electrons require different energy to get out of the atom. For this reason, the electrons knocked off by a monochromatic radiation possess different energies.
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