Answer: Stefan-Boltzmann Law relates the temperature of the blackbody to the amount of power it emits per unit area. The law states that,
“The total energy emitted/radiated per unit surface area of a blackbody across all wavelengths per unit time is directly proportional to the fourth power of the black body’s thermodynamic temperature. ”
Explanation: The total power radiated per unit area over all wavelengths of a black body can be obtained by integrating Plank’s radiation formula. Thus, the radiated power per unit area as a function of wavelength is:
Where,
P is the power radiated
A is the surface area of a blackbody
h is Planck’s constant
c is the velocity of light
k is Boltzmann’s constant
T is temperature.