Can a cooler object ever emit more radiation than a warmer object? A)No. B)Yes, if the two have the same surface area. C)Yes, if the cooler object has an area A_cooler that meets the requirement T_cooler A_cooler T_hot A_hot. D)Yes, if the cooler object has an area A_cooler that meets the requirement (T_cooler )⁴A_cooler (T_hot )⁴ A_hot.

Question

Can a cooler object ever emit more radiation than a warmer object? A)No. B)Yes, if the two have the same surface area. C)Yes, if the cooler object has an area A_cooler that meets the requirement T_cooler A_cooler > T_hot A_hot. D)Yes, if the cooler object has an area A_cooler that meets the requirement (T_cooler )⁴A_cooler > (T_hot )⁴ A_hot.

Quizplus · Accepted Answer

According to the Stefan-Boltzmann law, the power emitted by an object is proportional to the fourth power of its temperature and its surface area. Therefore, a cooler object can emit more radiation if its surface area is large enough to compensate for its lower temperature, as described by the condition (T_cooler)⁴A_cooler > (T_hot)⁴A_hot.

Can a Cooler Object Ever Emit More Radiation Than a Warmer