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Help with the wording of this question

Ok the question is "Explain why photoelectrons emitted from the surface of a metal have a range of Ek up to a certain maximum"

The way i was taught to answer such a question is to talk about the electrons in the metal traveling in different directions and work has to be done to change this direction and then to pass the work function, Left over energy would be Ek. Therefore depending on which direction the electron is traveling in the metal would determine how much work had to be done to "turn it round" and so how much ek is left.

However the mark scheme talks of electrons receiving fixed energy which is converted to Ek i dont quite understand.

Can you show me how you would answer such a question?
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teachercol
9
Each elctron receives the same amount of energy from a photon (hf)

Different electrons have different work function energies - surface ones least, deeper ones most

The energy left over boecomes kinetic energy.

Electrons are released as long as hf>= wfe

so KE has a range from 0 -> (hf - min wfe)

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