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AP EAMCET · PHYSICS · Thermal Properties of Matter

Three rods each of length \(l\) and cross sectional area \(A\) joined in series between two heat reservoirs as shown in the figure. Their conductivities are \(2 K, K\) and \(\frac{K}{2}\), respectively. Assuming that the conductors are insulated from surroundings, the temperatures \(T_1\) and \(T_2\) of the junctions in steady state condition are respectively.

  1. A \(\frac{600}{7}{ }^{\circ} \mathrm{C}, \frac{400}{7}{ }^{\circ} \mathrm{C}\)
  2. B \(\frac{600}{7}{ }^{\circ} \mathrm{C}, \frac{700}{4}{ }^{\circ} \mathrm{C}\)
  3. C \(\frac{500}{6}{ }^{\circ} \mathrm{C}, \frac{600}{5}{ }^{\circ} \mathrm{C}\)
  4. D \(\frac{600}{4}{ }^{\circ} \mathrm{C}, \frac{400}{7}{ }^{\circ} \mathrm{C}\)
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(A) \(\frac{600}{7}{ }^{\circ} \mathrm{C}, \frac{400}{7}{ }^{\circ} \mathrm{C}\)

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Key idea In a series combination of heat conductors, the rate of heat flow remains constant. According to the question, the figure given below shows the conduction of heat through series combinations of rods. where, \(T_1, T_2=\) temperature of junctions,…
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