For the purpose of this question I am pretending that I have not conducted a photoelectric effect experiment yet and I don't know what the outcome of the experiment will be. My questions are about the expected consequences if one assumes that light is a wave and not a particle (which we all know was not the result of this experiment).
A sinusoidal wave is non-localised. A metal target that absorbs a light wave should absorb that energy over a non-zero time interval since the wave is spread out over a non-zero length of space. This suggests that you should be able to liberate electrons from a target if you shine a low-energy wavelength of light onto a target (with energy significantly below the work function) by simply waiting long enough until enough energy is absorbed by the target.
Often it is stated that increasing the intensity of a low-energy wavelength light is sufficient to allow photoelectrons to be liberated from the metal if light is a wave.
My questions are:
Is my reasoning for 1. correct that you would expect that shining a low-energy color of light should allow electrons to be liberated from a metal if one simply waits long enough until enough energy is absorbed by the metal?
I don't understand the reasoning behind 2. Increasing the intensity of a source of light increases the number of light waves from your source (the lamp in the experiment), but shouldn't one can expect that each of these light waves will strike a different spot on the metal. Therefore increasing the intensity should liberate more electrons due to more spots on the metal receiving light, but I don't see why increasing the intensity should immediately cause photoelectrons to become liberated (unless all the additional light waves happen to strike the exact same spot on the metal when the intensity is increased).