Verified Solution • 2025–26 Session moderate

QPages 98-102: Q25: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q25 Solution: Figure shows an aluminium rod joined to a copper rod. Each of…

Figure shows an aluminium rod joined to a copper rod. Each of the rods has a length of 20 cm and area of cross section 0.20 cm20.20 \text{ cm}^2. The junction is maintained at a constant temperature 40�C and the two ends are maintained at 80�C. Calculate the amount of heat taken out from the cold junction in one minute after the steady state is reached. The conductivities are KAl=200 W m−1 �C−1K_{Al} = 200 \text{ W m}^{-1} \text{ �C}^{-1} and KCu=400 W m−1 �C−1K_{Cu} = 400 \text{ W m}^{-1} \text{ �C}^{-1}.

Step-by-Step Verified Solution

**Answer:** Heat taken out per minute = 144 J. **Step-by-Step Explanation:** Given: Al and Cu rods, l = 20 cm each, A = 0.20 cm_, junction at 40�C, ends at 80�C. For Al: Q/t = (200 _ 0.20 _ 10__ _ 40)/(0.20) = 0.8 W. For Cu: Q/t = (400 _ 0.20 _ 10__ _ 40)/(0.20) = 1.6 W. Total = 2.4 W = 144 J/min.

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