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  4. 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 when the ends were maintained at different temperatures. If the plates are welded as shown in figure (B) and the ends were maintained at same temperature as in first case, the same amount of heat will flow through the plates in how many minutes?

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Q. 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 when the ends were maintained at different temperatures. If the plates are welded as shown in figure $(B)$ and the ends were maintained at same temperature as in first case, the same amount of heat will flow through the plates in how many minutes?Physics Question Image

Thermal Properties of Matter

Solution:

$\frac{20}{4}=\frac{d Q}{d t}=\frac{k A}{2 L}(\Delta T) ; \frac{20}{t}=\frac{k \times 2 A}{L} \Delta T$
$\Rightarrow T=1\, \min$