The spectrum of a black body at two temperatu | vedclass

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Question

Area under given curve represents emissive power and emissive power $\propto T^{4} \Rightarrow A \propto T^{4}$

$\Rightarrow \frac{A_{2}}{A_{1}}=\f

Vedclass · Accepted Answer

$16\,\,:\,\,1$

Vedclass · Answer

Area under given curve represents emissive power and emissive power $\propto T^{4} \Rightarrow A \propto T^{4}$

$\Rightarrow \frac{A_{2}}{A_{1}}=\frac{T_{2}^{4}}{T_{1}^{4}}=\frac{(273+327)^{4}}{(273+27)^{4}}=\left(\frac{600}{300}\right)^{4}=\frac{16}{1}$

The spectrum of a black body at two temperature $27\,^oC$ and $327\,^oC$ is shown in the figure. Let $A_1$ and $A_2$ be the areas under the two curves respectively. The value of $\frac {A_2}{A_1}$ is

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