An electromagnetic field filling a certain cavity can be represented as a set of natural oscillations (oscillators) with different frequencies. Assuming that the energy of oscillators can take any value (continuous spectrum), and the energy distribution of oscillators obeys Boltzmann’s law N(E) = Ae-E/kT, find the average oscillator energy at temperature T and the volumetric radiation energy density in the frequency range (w ,w + dw).

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