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Physics, 27.07.2019 02:10 markpop

Classical theory tells us that each degree of freedom associated with an oscillator in a black- body should have energy e kt. quantum theory tells us this can be wrong if it requires that kt be smaller than the universal quantum of energy e - hv. classical theory also tells us that the energy emitted by a blackbody increases exponentially with frequency according to the rayleigh-jeans law. instead we measure, and can derive from quantum theory, the planck function: the planck function has the long tail of the rayleigh-jeans law at low fre quencies, but unlike the rayleigh-jeans law, a sudden drop-off at high frequencies. show that the wavelength where this drop-off starts to occur (i. e. near where there is a maximum in the planck function) is roughly where classical theory would (impossibly) require kt < hv. it may to consider wien's law and look at a planck function curve for guidance. con- sider two cases, the temperature of the sun (t = 6000 k), and the temperature of the earth (t = 300 k). keep in mind you aren't required to explicitly solve the planck function. your answer shouldn't be very long.

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