In the figure shown AB is a rod of length $$30$$ cm and area of $$cross-section$$ $$1.0$$ $$cm2$$ and thermal conductivity $$336$$ S.I. units. The ends A and B are maintained at temperatures $$20$$°C and $$40$$°C respectively. A point C of this rod is connected to a box D, containing ice at $$0$$°C, through a highly conducting wire of negligible heat capacity. The rate of heat flow through the wire (in$$ $$watt) is :

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Infinity Learn · Accepted Answer

Thermal resistance of $$AC=LKA=0.1336$$×$$1$$×$$10$$−$$4$$                                                       $$=103336=R($$ suppose $$)Thermal$$ resistance of $$BC=0.2336$$×$$10$$−$$4=2RTemperature$$ of $$C=0$$∘C∴ $$H1=20R$$; $$H2=402R=20R$$∴ $$H=H1+H2=40R=40$$×$$336103=13440103$$                                        $$=13.44$$ watt

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