TS EAMCET · Physics · Thermal Properties of Matter
Three rods of same dimensional have thermal conductivity \(3 K, 2 K\) and \(K\). They are arranged as shown in the figure below Then, the temperature of the junction in steady state is
- A \(\frac{200}{3}^{\circ} \mathrm{C}\)
- B \(\frac{100}{3}{ }^{\circ} \mathrm{C}\)
- C \(75^{\circ} \mathrm{C}\)
- D \(\frac{50}{3}{ }^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(B) \(\frac{100}{3}{ }^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
According to the figure \(H =H_1+H_2 \) \(\Rightarrow \frac{3 K A(100-T)}{l} =\frac{2 K A(T-50)}{l}+\frac{K A(T-0)}{l} \) \( 300-3 T =2 T-100+T \) \( 6 T =400 \) \(\text { or } T =\frac{200}{3}{ }^{\circ} \mathrm{C}\)
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