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The spectrum of a black body at two temperatures 27°C and 327°C is shown in the figure. Let $A_{1} and A_{2}$ be the areas under the two curves respectively. Find the value of $\frac{A_{2}}{A_{1}}$ .

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detailed solution

Correct option is A

Area under given curve represents emissive power and emissive power ∝ T4 ⇒ A ∝T4⇒A2A1 = T42T41 = (273+327)4(273+27)4 = (600300)4 = 161

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The spectrum of a black body at two temperatures 27°C and 327°C is shown in the figure. Let A1 and A2 be the areas under the two curves respectively. Find the value of A2A1.

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The spectrum of a black body at two temperatures 27°C and 327°C is shown in the figure. Let $A_{1} and A_{2}$ be the areas under the two curves respectively. Find the value of $\frac{A_{2}}{A_{1}}$ .