The ends of two rods of different materials having thermal conductivities, radii of $$cross-section$$ and Iengths in the ratio $$1$$ : $$2$$, arc maintained at the same temperature difference. If the rate of flow of heat in the larger rod is $$4$$ $$cal/s$$, then in shorter rod in $$cal/s$$ will be

Question

Infinity Learn · Accepted Answer

We know that $$($$Δ$$Q/$$Δ$$t)=KA($$Δ$$T/d)=K$$$$π$$$$r2($$Δ$$T/d)$$∴ $$($$Δ$$Q/$$Δ$$t)1($$Δ$$Q/$$Δ$$t)2=K1r12d1$$×$$d2K2r22$$                             $$=12$$×$$21$$×$$122=14$$ or     $$($$Δ$$Q/$$Δ$$t)1/4=1/4$$     or    $$($$Δ$$Q/$$Δ$$t)1=1$$

The ends of two rods of different materials having thermal conductivities, radii of cross-section and Iengths in the ratio 1 : 2, arc maintained at the same temperature difference. If the rate of flow of heat in the larger rod is 4 cal/s, then in shorter rod in cal/s will be

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