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Photoelectric Effect

Photon energy and work function — Einstein's quantum leap, 1905

Light Source

Metal

Photon energy E:
Work function φ:
Max KE:
Threshold λ:
Current:

The Physics

E = hf = hc/λ — photon energy depends only on frequency, not intensity.

KEmax = hf − φ — excess energy goes to kinetic energy of the ejected electron.

Intensity controls how many photons arrive per second (current), but cannot overcome the work function threshold. This puzzled classical physics — Einstein's explanation won the 1921 Nobel Prize.

Observations

Notice: increasing intensity only increases current (more electrons). The maximum kinetic energy is fixed by frequency alone. Below the threshold frequency, no electrons are emitted regardless of intensity.

The stopping potential Vs exactly cancels the electron's kinetic energy: eVs = KEmax.