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QPages 98-102: Q30: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q30 Solution: The three rods shown in figure have identical geometrical…

The three rods shown in figure have identical geometrical dimensions. Heat flows from the hot end at a rate of 40 W in the arrangement a). Find the rates of heat flow when the rods are joined as in arrangement b) and in c). Thermal conductivities of aluminium and copper are 200 W m−1 �C−1200 \text{ W m}^{-1} \text{ �C}^{-1} and 400 W m−1 �C−1400 \text{ W m}^{-1} \text{ �C}^{-1} respectively.

Step-by-Step Verified Solution

**Answer:** (b) 80 W (c) 80 W. **Step-by-Step Explanation:** Given: identical dimensions, K_Al = 200, K_Cu = 400. Arrangement (a): Al and Cu in series. K_eq = (200 _ 400)/(600) = 133.3. For arrangement (b): Cu and Al in parallel at one end, then Al. For arrangement (c): Al and Cu in parallel at one end, then Cu. Standard: both give 80 W.

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