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

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Length 2 m; radius 1 cm

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Length 2 m; radius 2 cm

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Length 1 m; radius 2 cm

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Solution

The correct option is D
Length 1 m; radius 2 cm

$\frac{Q}{t} = \frac{K A △ θ}{l} \Rightarrow \frac{Q}{t} \propto \frac{A}{l} \propto \frac{r^{2}}{l}$

$∴ \frac{r^{2}}{l}$ is maximum in option (d) , hence it will

conduct more heat.

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

The correct option is D Length 1 m; radius 2 cm Qt=KA△θl⇒Qt ∝Al∝r2l ∴r2l is maximum in option (d) , hence it will conduct more heat.

The correct option is D
Length 1 m; radius 2 cm

$\frac{Q}{t} = \frac{K A △ θ}{l} \Rightarrow \frac{Q}{t} \propto \frac{A}{l} \propto \frac{r^{2}}{l}$

$∴ \frac{r^{2}}{l}$ is maximum in option (d) , hence it will

conduct more heat.