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Q. The spectrum of a black body at two temperatures $227^{\circ} C$ and $527^{\circ} C$ as shown in graphical representation. Let $A _{1}$ $\& A_{2}$ be the areas under the two curves respectively. The ratio of $A _{2} / A_1$ is:Physics Question Image

Thermal Properties of Matter

Solution:

$\frac{A_{2}}{A_{1}}=\left(\frac{T_{1}}{T_{2}}\right)^{4}=\left(\frac{500}{800}\right)^{4}=\frac{625}{4096}$