Question

The rate at which a black body emits radiation at a temperature $T$ is proportional to:

• A. $\frac{1}{T}$
• B. $T$
• C. $T^3$
• D. $T^4$

Answer 1

Answer: (D)

$T^4$

Stefan-Boltzmann Law describes the power radiated from a black body in terms of its temperature.

According to this law, the total energy radiated per unit surface area for all wavelengths per unit time is proportional to fourth power of black body's thermodynamic temperature $T$.

$P\propto T^4$.