The
ultraviolet catastrophe
Two British scientists, Lord Raleigh and Sir James Jeans suggested that a hot
object or body, such as a star, must radiate energy at an infinite rate. According
to the laws known at that time, a hot body ought to give off electromagnetic
waves (such as radiowaves, visible light, or X-rays) equally at all frequency
ranges. For example a hot body should radiate the same amount of
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energy in waves
with frequencies between one and two million waves a second as in frequency
between three and four million million waves a second and so on. Now since the
number of frequencies is unlimited, the total radiated energy should be infinite.
In order to avoid this obviously ridiculous result, the brilliant yet cautious
and conservative German physicist Max Planck postulated in 1900 that light X-rays,
and other waves (i.e. energy) can only be emitted or absorbed in discrete amounts
which he called quanta (the plural of "quantum", the Latin word for
"how much"). The energy quantum is related to the frequency of the
wave by a new fundamental constant h.
When a hot body is heated, its radiated energy in a particular frequency range
is, according to classical theory, proportional to the temperature of the body.
With Planck's hypothesis, however, the radiation can only occur in quantum amounts
of energy. So at high enough frequency, the emission of a single quantum would
require more energy than is available. The radiation at high frequencies would
be reduced, and the rate at which the body looses energy would be finite.(Story
of the rich man)
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