First slide

Conduction

Question

Two rods are of same material and have same length and area. Heat $∆ Q$ flows through them in 12 minutes, when they are joined side by side. If now both the rods are joined in
parallel, then the same amount of heat $∆ Q$ will flow in:

Moderate

A

24 min
B

3 min
C

12 min
D

6 min

Solution

$\frac{∆ Q}{∆ t} = KA (\frac{∆ T}{l}) \Rightarrow \frac{∆ Q}{12} = \frac{KA (∆ T)}{2 l} and \frac{∆ Q}{t} = \frac{K (2 A) ∆ T}{l} \Rightarrow t = 3 \min .$

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