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AP Physics 2
9.5 Specific Heat and Thermal Conductivity
BeginnerMCQProportional Analysis25.2k
A schematic diagram showing two thermal conduction setups labeled Rod 1 and Rod 2, positioned vertically one above the other. On the left of both setups is a red rectangular block labeled T_H, representing a hot reservoir. On the right of both setups is a blue rectangular block labeled T_C, representing a cold reservoir. Setup 1 shows Rod 1, a grey horizontal cylinder of length L and cross-sectional area A connecting the two reservoirs. Setup 2 shows Rod 2, a wider and longer grey horizontal cylinder of length 2L and cross-sectional area 2A connecting identical T_H and T_C reservoirs. Double-headed dimension arrows indicate length L for Rod 1 and length 2L for Rod 2. No other labels, lines, text, or axes appear.
Two metal rods connected between identical thermal reservoirs.
A solid metal rod of length \(L\) and cross-sectional area \(A\) conducts energy at a steady rate \(P_0\) between two thermal reservoirs maintained at constant temperatures \(T_H\) and \(T_C\), with \(T_H > T_C\). A second rod, made of the same metal, has a length of \(2L\) and a cross-sectional area of \(2A\). If the second rod is connected between the same two thermal reservoirs, what is the rate of energy transfer through the second rod?

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