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Q.

Two rods with the same dimensions have thermal conductivities in the ratio 1:2. They are arranged between heat reservoirs with the same temperature difference, in two different configurations A and B. The rates of heat flow in A and B are IA and IBrespectively. The ratio IAIBis equal to

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answer is 4.

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Detailed Solution

Thermal current =Temperature differenceThermal ResistanceI=ΔTRIn series RA=R2+R4=3R4In parallel RB=R2.RR2+R=R3IAIB=RBRA=49
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Two rods with the same dimensions have thermal conductivities in the ratio 1:2. They are arranged between heat reservoirs with the same temperature difference, in two different configurations A and B. The rates of heat flow in A and B are IA and IBrespectively. The ratio IAIBis equal to