Problem

The electromagnetic intensity thermally radiated by a body of temperature T is given byI =...

The electromagnetic intensity thermally radiated by a body of temperature T is given by

I = σT4 where σ = 5.67 x 10-8 W/m2 • K4

This is known as the Stefan-Boltzmann law. Show that this law follows from equation (9-46). (Note: Intensity, or power per unit area, is the product of the energy per unit volume and distance per unit time. But because intensity is a flow in a given direction away from the blackbody, the correct speed is not c. For radiation moving uniformly in all directions, the average component of velocity in a given direction is ¼c.)

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