Two metal rods $$1$$ and $$2$$ of same lengths have same temperature difference between their ends. Their thermal conductivities are $$K1$$ and $$K2$$ and cross sectional areas $$A1$$ and $$A2$$, respectively. If the rate of heat conduction in $$1$$ is four times that in $$2$$ , then

Question

Two metal rods $$1$$ and $$2$$ of same lengths have same temperature difference between their ends. Their thermal conductivities are $$K1$$ and $$K2$$ and cross sectional areas $$A1$$ and $$A2$$, respectively. If the rate of heat conduction in $$1$$ is four times that in $$2$$ , then

Infinity Learn · Accepted Answer

Let L be length of each rod. Rate of heat flow in rod $$1$$ for the temperature difference ΔT $$isH1=K1A1$$ΔTLRate of heat flow in rod $$2$$ for the same difference $$}$$ ΔT is $$H2=K2A2$$ΔTLAs per $$questionH1=4H2$$ $$K1A1$$Δ$$TL=4K2A2$$ΔTL $$K1A1=4K2A2$$

Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are $K_{1} a n d K_{2}$ and cross sectional areas $A_{1} a n d A_{2}$ , respectively. If the rate of heat conduction in 1 is four times that in 2 , then

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Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are K1 and K2 and cross sectional areas A1 and A2, respectively. If the rate of heat conduction in 1 is four times that in 2 , then

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Ready to Test Your Skills?

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Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are $K_{1} a n d K_{2}$ and cross sectional areas $A_{1} a n d A_{2}$ , respectively. If the rate of heat conduction in 1 is four times that in 2 , then