First slide

Conduction

Question

Two identical plates of metal are welded end to end as shown in figure (A); 20 cal of heat flows through it in 4 minutes. If the plates are welded as shown in figure (B), the same amount of heat will flow through the plates in

Moderate

A

1 minute
B

2 minute
C

4 minute
D

16 minute

Solution

$R_{1} = 2 R$
$\begin{array}{l} R_{2} = \frac{R}{2} \\ \frac{Q}{t} = \frac{(θ_{1} - θ_{2})}{R} \Rightarrow t \propto R \\ \Rightarrow \frac{t_{2}}{t_{1}} = \frac{R / 2}{2 R} \\ \Rightarrow t_{2} = \frac{t_{1}}{4} = \frac{4}{4} \end{array}$

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