How photoelectric effect shows particulate nature of light?

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Would the following explanations suffice to explain why the photoelectric effect shows the particulate nature of light?

1) There is instantaneous emission of photoelectrons when the energy of the photon is greater than the work function of the material.

2) There is no emission of photoelectrons when the energy of the photons is less than the work function of the material

3) An increase in intensity does not increase the energy of a photon.
 
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