The number of photons per second radiated by a blackbody is proportional to what power of $T$ ?
A) $T$
B) $T^{2}$
C) $T^{3}$
D) $T^{4}$
E) $T^{5}$

Question

Quizplus · Accepted Answer

The number of photons per second radiated by a blackbody is proportional to the cube of the temperature, $T^{3}$, because the energy radiated per unit area per unit time (according to the Stefan-Boltzmann law) is proportional to $T^{4}$, and the energy of each photon is proportional to the temperature (via Planck's law), making the number of photons proportional to $T^{3}$.

The Number of Photons Per Second Radiated by a Blackbody TTT

The Number of Photons Per Second Radiated by a Blackbody $T$