Consider a black sphere of radius R at temperature T which …

Physics Wave and Sound Mix MCQ (Single Correct)

Consider a black sphere of radius R at temperature T which radiates to distant black surroundings at T = 0K.

Surround the sphere with a nearby heat shield in the form of a black shell whose temperature is determined by radiative equilibrium. What is the temperature of the shell and what is the effect of the shell on the total power radiated to the surroundings?

How is the total power radiated affected by additional heat shields? (Note that this is a crude model of a star surrounded by a dust cloud.)

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At radiative equilibrium, or .

Therefore , or .

The heat shield reduces the total power radiated to half of the initial value. This is because the shield radiates a part of the energy it absorbs back to the black sphere.

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