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Standard XII

Physics

Stefan-Boltzman's Law

If a piece of...

Question

If a piece of metal is heated to an absolute temperature $T$ and then put in an enclosure at absolute temperature $t$ , then the heat generated in the atmosphere will be proportional to

(T - t)^{4}

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T^{4} - t^{4}

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T^{2} - t^{2}

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T^{3} - t^{3}

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Solution

The correct option is A $T^{4} - t^{4}$
According to Stefan's law, the energy emission will be directly proportional to fourth power temperature. The black body is ideal emitter as well as perfect absorbent, The heat gained by the body need to be subtracted from total energy radiated by the body.
$⟹ Δ Q_{1} - Δ Q_{2} = S (T^{4} - t^{4})$
Thus the correct answer is B.

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If a piece of metal is heated to an absolute temperature T and then put in an enclosure at absolute temperature t, then the heat generated in the atmosphere will be proportional to

If a piece of metal is heated to an absolute temperature $T$ and then put in an enclosure at absolute temperature $t$ , then the heat generated in the atmosphere will be proportional to