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3. Dimensional analysis can provide insight into Stefan-Boltzmann's law for the radiation from a black body. According to this law the intensity of radiation, in units of J s- m-, from a body at temperature Tis where a is Stefan-Boltzmann's constant. Because black-body radiation can be considered to be a gas of photons, i.e. quantum particles which move with velocity e with typical energies of the order of kT, the intensity Tis a function of h, c and kT. Use dimensional analysis to confirm that / is proportional to T* and find the dependence of a on h and c.

3. Dimensional analysis can provide insight into Stefan-Boltzmann's law for the radiation from a black body. According to this law the intensity of radiation, in units of J s- m-, from a body at temperature Tis where a is Stefan-Boltzmann's constant. Because black-body radiation can be considered to be a gas of photons, i.e. quantum particles which move with velocity e with typical energies of the order of kT, the intensity Tis a function of h, c and kT. Use dimensional analysis to confirm that / is proportional to T* and find the dependence of a on h and c.

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3. Dimensional analysis can provide insight into Stefan-Boltzmann's law for the radiation from a black body. According to this law the intensity of radiation, in units of J s- m-, from a body at temperature Tis where a is Stefan-Boltzmann's constant. Because black-body radiation can be considered to be a gas of photons, i.e. quantum particles which move with velocity e with typical energies of the order of kT, the intensity Tis a function of h, c and kT. Use dimensional analysis to confirm that / is proportional to T* and find the dependence of a on h and c.
Transcribed Image Text:3. Dimensional analysis can provide insight into Stefan-Boltzmann's law for the radiation from a black body. According to this law the intensity of radiation, in units of J s- m-, from a body at temperature Tis where a is Stefan-Boltzmann's constant. Because black-body radiation can be considered to be a gas of photons, i.e. quantum particles which move with velocity e with typical energies of the order of kT, the intensity Tis a function of h, c and kT. Use dimensional analysis to confirm that / is proportional to T* and find the dependence of a on h and c.
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