Two identical conducting rods are first, connected independently to two vessels, one containing water at $$100oC$$ and the other containing ice at $$0oC$$. In the second case, rods are joined end to end and are connected to t same vessels .If $$q1$$ and $$q2$$ (in$$ $$g/s) are the rates of melting of ice in two cases, then the ratio of $$q1/q2$$ is $$_______$$.

Question

Two identical conducting rods are first, connected independently to two vessels, one containing water at $$100oC$$ and the other containing ice at $$0oC$$. In the second case, rods are joined end to end and are connected to t same vessels .If $$q1$$ and $$q2$$ (in$$ $$g/s) are the rates of melting of ice in two cases, then the ratio of $$q1/q2$$ is $$_______$$.

Infinity Learn · Accepted Answer

Temperature difference  Thermal resistance $$=Ldmdtdmdt$$∝$$1$$ Thermal resitance ;q∝$$1RThe$$ rods are in parallel in first case and they are in series in second case.$$q1q2=2R(R/2)=4$$

Heat transfer

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Heat transfer

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Temperature difference Thermal resistance =Ldmdtdmdt∝1 Thermal resitance ;q∝1RThe rods are in parallel in first case and they are in series in second case.q1q2=2R(R/2)=4

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