Which of following cylindrical rods will conduct most heat, when their ends are maintained at same s

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10-2.Transmission of Heat

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Which of the following cylindrical rods will conduct most heat, when their ends are maintained at the same steady temperature

Length $1 m$ ; radius $1 cm$

Length $2 m$ ; radius $1 cm$

Length $2 m$ ; radius $2 cm$

Length $1 m$ ; radius $2 cm$

Solution

(d)$\frac{Q}{t} = \frac{{KA\,\Delta \theta }}{l}$==> $\frac{Q}{t} \propto \frac{A}{l} \propto \frac{{{r^2}}}{l}$
$\frac{{{r^2}}}{l}$ is maximum in option $(d)$ , hence it will conduct more heat.

Standard 11

Physics

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$A$ wall has two layers $A$ and $B$ made of different materials. The thickness of both the layers is the same. The thermal conductivity of $A$ and $B$ are $K_A$ and $K_B$ such that $K_A = 3K_B$. The temperature across the wall is $20°C$ . In thermal equilibrium

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Three conducting rods of same material and cross-section are shown in figure. Temperatures of$ A, D$ and $C$ are maintained at $20^o C, 90^o C$ and $0^o C$. The ratio of lengths of $BD$ and $BC$ if there is no heat flow in $AB$ is:

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What is thermal steady state ?

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Which of the following cylindrical rods will conduct most heat, when their ends are maintained at the same steady temperature

Solution

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