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Five rods of same material and same cros...

Five rods of same material and same cross-section are joined as shown. Lengths of rods ab, ad and bc are l, 2l and 3l respectively. Ends a and c are maintained at temperatures `200^(@)C` and `0^(@)C` respectivelly.

For what length x of rod dc there will be no heat flow through rod bd ?

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