STANDARD Physics Thermal Conductivity MCQ Question
Two bars of same length and same cross-sectional area but of different thermal conductivities, K₁ and K₂ are joined end to end as shown in the figure. One end of the compound bar is at temperature T₁ and the opposite end at temperature T₂ (where T₁ > T₂). The temperature of the junction is
K₂T₁ + K₁T₂ / (K₁ + K₂)
K₁T₁ + K₂T₁ / (K₁ + K₂)
K₂(T₁ + T₂) / K₂
K₁(T₁ + T₂) / K₁
Correct Answer
Detailed Explanation
At steady state, the heat current through both bars is equal. By equating the heat currents and solving for the junction temperature, we find it to be a weighted average of the two temperatures based on their conductivities.
Found an issue with this question?
Related Questions
More from
Which of the following statements about enthalpy changes in thermodynamics is correct?
What is the enthalpy change associated with the atomization of dihydrogen (H2)?
For a strongly endothermic reaction, what is the expected value of the equilibrium constant K?