Q. 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
A) [image:11_image35.png]
B) [image:11_image36.png]
C) [image:11_image37.png]
D) [image:11_image38.png]
Explanation
(d) According to Stefan’s law $E = \sigma T^{4}$
$\Rightarrow \ln{E = \ln{\sigma + 4\ln T \Rightarrow \ln{E = 4\ln{T + \ln\sigma}}}}$
On comparing this equation with $y = mx + C$
We find that graph between $\ln E$ and $\ln T$ will be a straight line, having positive slope $(m = 4)$ and intercept on $\ln E$ axis equal to $\ln\sigma$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.