WOLFRAM|DEMONSTRATIONS PROJECT

The Photoelectric Effect

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metal
Ag
Al
Au
Ca
Cs
Cu
Fe
K
Mg
Na
Zn
wavelength/nm
550
light intensity
50
The photoelectric effect is a quantum-mechanical phenomenon in which light impinging on the surface of a metal can cause electrons to be ejected. Only light with wavelengths shorter than some threshold value
λ
0
, characteristic of each metal, can cause emission of photoelectrons, no matter how intense the radiation. Einstein explained this by proposing that light is composed of discrete photons, each carrying energy
E=hν=
hc
λ
. Only when the photon energy exceeds the work function
Φ
of the metal, a measure of how strongly the outermost electrons are bound, can photoelectrons be emitted. The relevant equation is
hc
λ
=Φ+K
E
max
, where the last term represents the maximum kinetic energy of the ejected electrons. Once the threshold wavelength is attained, the current of electrons increases linearly with the radiation intensity. This can be monitored by an ammeter in the circuit shown. The light source covers the entire visible range 400–700 nm. In the ultraviolet region, the light ray appears as black.
Einstein was awarded the 1922 Nobel Prize in Physics for his theory of the photoelectric effect, rather than for his discoveries of the special and general theories of relativity.