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COMEDK · Physics · 12. Thermal Properties of Matter

A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio \(4: 1\). The free face of copper is at \(0^{\circ} \mathrm{C}\). The temperature of the interface is \(20^{\circ} \mathrm{C}\). What is the temperature of the free face of brass?

  1. A \(0^{\circ} \mathrm{C}\)
  2. B \(20^{\circ} \mathrm{C}\)
  3. C \(40^{\circ} \mathrm{C}\)
  4. D \(100^{\circ} \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(100^{\circ} \mathrm{C}\)

Step-by-step Solution

Detailed explanation

Given, \(K_{\text {copper }}: K_{\text {brass }}=4: 1\) \[ \Rightarrow \quad \frac{K_{\text {copper }}}{K_{\text {brass }}}=\frac{4}{1} \] Let the temperature of the free surface of brass \(=\theta\) Rate of flow of heat will be equal in both the plates as connected in series.…