The total rate of emission from a black body is definitively proportional to the fourth power of its absolute temperature, as established by the Stefan-Boltzmann Law. This relationship is derived from Planck's radiation law, which describes the spectral distribution of electromagnetic radiation emitted by a black body in thermal equilibrium. The integration of intensity over all wavelengths leads to the conclusion that the emitted power increases with the fourth power of temperature, confirming the law's validity.
PREREQUISITESPhysicists, engineers, and students studying thermodynamics or radiation physics will benefit from this discussion, particularly those interested in the principles of black body radiation and its applications.
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