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Please include the full question next time. Additionally, the midterm solutions can be found on the class website underneath "midterm solutions". The explanation is due to the particle nature of light when interacting with electrons. If the light is not high energy enough, increasing intensity (number of photons) will not be able to emit any electrons. But as soon as the light has higher energy than the work function, electrons will be emitted, and the same number of electrons will be emitted even if the energy is increased because photons interact on a one-to-one basis with electrons. At this point, increasing intensity will increase number of electrons removed however.
The graph looks the way it does because once the threshold frequency is met, electrons are instantly emitted. The same number of electrons are emitted assuming the intensity is constant. An increasing frequency (after the threshold frequency) has no effect on the number of photons emitted, they will only start emitting after the threshold frequency is met.
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