Physics

Physics

Problem

A blackbody is heated such that its absolute temperature becomes three times the initial value. By what factor does the power radiated per unit area change? Explain briefly.
Intuitive explanation

The Stefan–Boltzmann law tells us that power radiated per unit area depends on the fourth power of absolute temperature: P/A∝T4P/A \propto T^4. When temperature triples, you're not just multiplying the power by 3—you're multiplying it by 343^4. This dramatic sensitivity to temperature is why hot objects radiate so much more intensely than warm ones.

Intuitive explanation

The Stefan–Boltzmann law tells us that power radiated per unit area depends on the fourth power of absolute temperature: P/A∝T4P/A \propto T^4. When temperature triples, you're not just multiplying the power by 3—you're multiplying it by 343^4. This dramatic sensitivity to temperature is why hot objects radiate so much more intensely than warm ones.

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