What fraction of the total energy density in a cavity filled with black body radiation at 5000 K.....?
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What fraction of the total energy density in a cavity filled with black body radiation at 5000 K is in the range 5.80 × 10^14 Hz and 5.85 × 10^14 Hz?
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Answer:
The energy density emitted by a black body is given by I(v), thus the energy emitted inside the small frequency range you provide is P = I(vo) ∆v where vo is the frequency in between the range.The total power emitted is the integral of that, say P_total. The fraction is then P_∆v / P_total The equations are rather large to write down here, but you can find them in the following link http://en.wikipedia.org/wiki/Stefan%E2%80%93Boltzmann_law .
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