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According to the Stefan-Boltzman law, how does a small change in temperature impact the energy emitted by an object

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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:


dP/dλ* 1/A= (2*pi*h*c^2)/λ^5*(e^(h*c/pi*k*T)-1)\\

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.

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