The spectrum of a black body at two temperatures $27\,^oC$ and $327\,^oC$ 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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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}$
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