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According to Stefan–Boltzmann Law, if the temperature of a body is doubled (in Kelvin), the heat emitted by it becomes ______.

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Question

According to Stefan–Boltzmann Law, if the temperature of a body is doubled (in Kelvin), the heat emitted by it becomes ______.

Options

  • 2 times

  • 4 times

  • 8 times

  • 16 times

MCQ
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Solution

According to Stefan–Boltzmann Law, if the temperature of a body is doubled (in Kelvin), the heat emitted by it becomes 16 times.

Explanation:

The Stefan–Boltzmann Law states H = σeAT⁴. If T is doubled (2T), the heat emitted becomes σeA(2T)⁴ = 16σeAT⁴, that is, 16 times the original. Heat emission is proportional to the fourth power of absolute temperature.

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