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Two identical metal balls one at T(1)=30...

Two identical metal balls one at `T_(1)=300K` and the other `T_(2)=600K` are kept at a distance of 1m in vacuum. Will the temperatures equalize by radiation? Will the rate of heat gained by the colder sphere be proportional to `T_(2)^(4)-T_(1)^(4)` as may be expected from the Stefan's law ?

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