If a perfect black body’s absolute temperature is doubled, by what factor does the total energy radiated increase?

💡 Explanation:

According to the Stefan-Boltzmann Law, the total energy (or power) radiated per unit area by a black body is directly proportional to the fourth power of its absolute temperature (T): $P propto T^4$. If the temperature is doubled (2T), the new radiated power ($P'$) will be proportional to $(2T)^4$. $P' propto 16T^4$, meaning the radiated energy increases by a factor of 16.