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NEET 2017 · Heat Conduction

Heat Conduction question from NEET 2017

Q49NEET 2017Medium

Heat Conduction

Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K1 and K2. The thermal conductivity of the composite will be

Figure

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Answer: (d)

  1. The rods are side by side between T1T_1 and T2T_2, so they are in parallel; each has area AA, total 2A2A.
  2. K(2A)ΔTd=K1AΔTd+K2AΔTd\frac{K(2A)\Delta T}{d} = \frac{K_1A\Delta T}{d} + \frac{K_2A\Delta T}{d}
  3. K=K1+K22K = \frac{K_1+K_2}{2}, so the answer is (d).
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