All questions
AP Physics 2
9.5 Specific Heat and Thermal Conductivity
9.3 Thermal Energy Transfer and Equilibrium
IntermediateMCQProportional AnalysisConceptual21.1k
A cross-sectional view of a central spherical heat source surrounded by a thick concentric spherical insulating shell. Two dashed circular boundaries within the shell are drawn at radii r_1 = R and r_2 = 2R from the center. Four radial arrows point outward from the central core through the shell to represent heat flow. Labels r_1 = R and r_2 = 2R mark the two dashed boundaries. No other labels, lines, text, or axes appear.
Cross section of a spherical insulating shell with radial heat flow.
A small spherical heating core is encased in a thick, uniform insulating shell. Heat conducts radially outward through the insulating material at a steady rate. Let \(\left|\dfrac{\Delta T}{\Delta x}\right|_1\) and \(\left|\dfrac{\Delta T}{\Delta x}\right|_2\) represent the magnitude of the local temperature gradient at concentric radial distances \(r_1 = R\) and \(r_2 = 2R\), respectively. Which of the following correctly compares the magnitude of the temperature gradient at \(r_2\) to that at \(r_1\)?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5