PROBLEM - Black body radiation
Any 'body' absorbed and emits radiation (a central heating 'radiator' does this as you can feel - so do you. If we leave something in the sun it warms up as it absorbs infra-red radiation ...). As things get hotter they emit radiation at higher and higher frequencies - first at infra-red, then they may glow red, then orange ... white hot ... into the ultra-violet ... and os on. In fact they don't just emit with a single frequency but over a whole spectrum. Black Body radiation is radiation from a theoretical perfect emitter. This can be closely approximated by a cavity (box) with a very black lining and only a small hole were the escaping radiation can be observed.
There are 2 experimental 'laws' that describe the from of the radiation:
Wien's Displacement Law
$$ \lambda_{max} = {2.898 \times 10^{-3}} over {T} $$
Which describes the wavelength (at least at higher frequencies) at which maximum radiation emission occurs
and Stefan's Law
$$ P = \sigma T^4 $$
Which describes the power output at a given temperature
Classical physics analysed this by thinking about energy as waves within the box, bouncing around and exchanging energy with the walls of the cavity.
This was done by Lord Rayleigh and (independently) by Sir James Jeans to give the Rayleigh0Jeans Law. Unfortunately this doesn't actually match observations and, at short wavelengths, predicts infinite radiation intensity - Bugger!
1900 -Planck
All this was resolved in 1900 by a German physicist going by the rather wonderful name of Max Karl Ernst Ludwig Planck (let's have no more jokes about being as thick as a plank please!).
Building on the ideas of Boltzman's statistical approach to thermodynamics, Planck postulated that energy could only be emitted or observed in distinct, discrete 'quantised' packets (see where this is going yet?) now described by the equation:
$$ E=h\nu$$
Where \(E\) is the energy, \(\nu\) is the frequency and \(h\) is Planck's constant (which very small: \(6.62607004 × 10^{-34} m^{2} kg s^{-1}\))
Apparently he really hated the idea - but it worked and he was awarded the 1918 Nobel prize for Physics - which can't be bad can it?