First slide

Conduction

Question

Two rods of same material, cross-section and length are welded end to end. The temperature difference across the ends of the composite rod is 100°C. 1o cal. of heat flows through the combination in 10 min. If the rods are welded side by side, how much time will 10 cal heat take to go across the combination ?

Easy

A

2.5 min
B

5 min
C

15 min
D

20 min

Solution

$\begin{array}{r} Q = KA \frac{ΔT}{d} t_{1} = K (2 A) \frac{ΔT}{(d / 2)} t_{2} \\ t_{2} = t_{1} / 4 = 10 / 4 = 2 \cdot 5 \min \end{array}$

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