Which of the following graphs correctly represents the relation between ln $E$ and ln $T$ where $E$ is the amount of radiation emitted per unit time from unit area of a body and $T$ is the absolute temperature
Medium
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(d) According to Stefan's law $E = \sigma {T^4}$
$ \Rightarrow \log E = \log \sigma + 4\log T$
$ \Rightarrow \log E = 4\log T + \log \sigma $
on comparing this equations with $y = mx + C$
we find that graph between log $E$ and log $T$ will be a straight line, having positive slope $(M=4)$ and intercept on log $E$ axis equal to $\log \sigma $
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