Select the correct statement.
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A.
Stefan-Boltzmann Law is obtained by integrating Plank's Law over all frequencies
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B.
Stefan-Boltzmann Law is obtained by integrating Plank's Law over all wavelengths.
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C.
Stefan-Boltzmann Law is obtained by integrating Wien's Displacement Law over all frequencies.
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D.
Stefan-Boltzmann Law is obtained by integrating Wien's Displacement Law over all wavelengths.
Correct Answer:
B. Stefan-Boltzmann Law is obtained by integrating Plank's Law over all wavelengths.
Explanation:
The Stefan-Boltzmann Law is fundamentally derived by integrating Planck's Law over the entire range of wavelengths (from zero to infinity). While Planck's Law describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature, the Stefan-Boltzmann Law provides the total power radiated per unit surface area. By mathematically summing (integrating) the energy contribution of every wavelength emitted, the result shows that the total radiant exitance is directly proportional to the fourth power of the black body's absolute temperature.
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