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Since the electron can be already ejected surpassing threshold energy, increasing the intensity of the light increases the amount of ejected electrons and the speed of which electrons are ejected. This is because light intensity is directly proportional to frequency as a mechanical view of light (kinetics).
The speed of an ejected electron is not dependent on the intensity of the photon because, as we know, the photoelectric effect theorized that the light is not thought of as a wave propagating through space but instead thought of as quantized packets of energy. Because of this, the energy is dependent on hv, where v is frequency.
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