Question 10
Two identical plates P and Q, radiating as perfect black bodies, are kept in vacuum at constant absolute temperatures and , respectively, with , as shown in Fig. 1. The radiated power transferred per unit area from P to Q is . Subsequently, two more plates, identical to P and Q, are introduced between P and Q, as shown in Fig. 2. Assume that heat transfer takes place only between adjacent plates. If the power transferred per unit area in the direction from P to Q (Fig. 2) in the steady state is , then the ratio is ___

Detailed Solution
The net rate of radiation heat transfer between two large parallel black plates is given by . When identical blackbody radiation shields (plates) are inserted between them, the new steady-state power transfer is given by the formula: In this problem, two more identical plates are introduced between P and Q, so . Therefore: Rearranging for the ratio:
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