Photoelectric Effect: Is There a Problem?

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hongkongrubbish
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My physics teacher told me that in photoelectric effect, only one photon can be absorbed by one electron. Not more than one photon can be absorbed during the emission of electron.

But a beam of light is a stream of photons! The chance for two or more photons colliding with the same electron should be very high! Is there anything wrong with the theory?
 
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Multiphoton absorption can occur. The incident light has to be quite intense however. There's nothing wrong with Einstein's theory as the experiments of the time could only use light of a certain intensity. The theory is merely a special case of something more general.