Wires A and B have identical lengths and have circular cros…

Physics Transmission of Heat Conduction Single Correct MCQ

Published on: September 12, 2026

Wires A and B have identical lengths and have circular cross-sections. The radius of A is twice the radius of B i. e. $\Gamma_{A} = 2 \Gamma_{B}$ . For a given temperature difference between the two ends, both wires conduct heat at the same rate. The relation between the thermal conductivities is given by

$K_{A} = 4K_{B}$

$K_{A} = 2K_{B}$

$K_{A} = K_{B} / 2$

$K_{A} = K_{B} / 4$

Text Solution

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The correct answer is:

$\frac{Q}{t} = \frac{KA \Delta \theta}{l} \Rightarrow \frac{K_A}{K_B} = \frac{A_B}{A_A} = \left(\frac{r_B}{r_B}\right)^2 = \frac{1}{4} \Rightarrow K_A = \frac{K_B}{4}$

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