A parallel-sided slab is made of two different materials. The upper half of the slab is made of material X, of thermal conductivity λ ; the lower half is made of material Y, of thermal conductivity 2λ. In the steady state, the left hand face of the composite slab is at a higher, uniform temperature than the right-hand face, and the flow of heat through the slab is parallel to its shortest sides. What fraction of the total heat flow through the slab passes through material X?

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B







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