We notice that work which demands one powerful quantum cannot be
performed by two, or indeed by any number whatever, of feeble quanta.
A small amount of violet (high-frequency) light can accomplish what
no amount of red (low-frequency) light can effect—a circumstance with
which every photographer is painfully familiar; we can admit as much
red light as we please without any damage being done, but even the
tiniest gleam of violet light spoils our plates.
The law prohibits the killing of two birds with one stone, as well as
the killing of one bird with two stones; the whole quantum is used up
in effecting the change, so that no energy from this particular quantum
is left over to contribute to any further change. This aspect of the
matter is illustrated by Einstein’s photochemical law: “in any chemical
reaction which is produced by the incidence of light, the number of
molecules which are affected is equal to the number of quanta of light
which are absorbed.” Those who manage penny-in-the-slot machines are
familiar with a similar law: “the number of articles sold is exactly
equal to the number of coins in the machine.”
If we think of energy in terms of its capacity for doing damage, we
see that radiation of short wave-length can work more destruction
in atomic structures than radiation of long wave-length. Radiation
of sufficiently short wave-length may not only re-arrange molecules
or atoms; it may break up any atom on which it happens to fall, by
shooting out one of its electrons, giving rise to what is known as
photoelectric action. Again there is a definite limit of frequency,
such that light whose frequency is below this limit does not produce
any effect at all, no matter how intense it may be; whereas as soon as
we pass to frequencies above this limit, light of even the feeblest
intensity starts photoelectric action at once. Again the absorption
of one quantum breaks up only one atom, and further ejects only one
electron from the atom. If the radiation has a frequency above this
limit, so that its quantum has more energy than the minimum necessary
to remove a single electron from the atom, the whole quantum is still
absorbed, the excess energy now being used in endowing the ejected
electron with motion.
Public-domain text, read in full here on John Shaqi.
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