(Solution) - The two objects must be in thermal equilibrium with each -(2025 Original AI-Free Solution)

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The two objects must be in thermal equilibrium with each other and the walls of the evacuated chamber in which they reside. If an object were to absorb more heat energy than it emitted, its temperature would change and the system would no longer be in thermal equilibrium. Each body must therefore emit exactly as much radiation as it absorbs-a good absorber must be a good emitter.