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AP EAMCET · PHYSICS · Thermal Properties of Matter

Three rods of same dimensions have thermal conductivities \(3 K\), \(2 K\) and \(K\). They are arranged as shown in the figure below. Then in the steady state the temperature of the junction \(P\) is

  1. A \(\frac{200}{3}{ }^{\circ} \mathrm{C}\)
  2. B \(\frac{100^{\circ}}{3}{ }^{\circ} \mathrm{C}\)
  3. C \(75^{\circ} \mathrm{C}\)
  4. D \(\frac{50}{3}{ }^{\circ} \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{200}{3}{ }^{\circ} \mathrm{C}\)

Step-by-step Solution

Detailed explanation

Amount of heat transmitted from one point to another is \( Q=\frac{k A t\left(T_1-T_2\right)}{d} \) where, \(k\) is thermal conductivity, \(t\) is time and \(T_1-T_2\) is temperature difference. At junction,…