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Q.

All the rods have same conductance 'K' and same area of cross section 'A'. lf ends A and C are maintained at temperature $2 T_{0} adn T_{0}$ respectively then which of the following is/are correct?

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a

Rate of heat flow through ABC, AOC and ADC is same

b

Rate of heat flow through BO and OD is not same

c

Total rate of heat flow from A to C is $\frac{3 K A T_{0}}{2 a}$

d

Temperature at junctions B, O and D are same

answer is D.

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Detailed Solution

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By symmetry

$I_{AB} = I_{BC}, I_{AD} = I_{DC} and I_{Ao} = I_{OC}$

$∴ No current in BO and OD$

$∴ T_{B} = T_{0} = T_{D}$

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All the rods have same conductance 'K' and same area of cross section 'A'. lf ends A and C are maintained at temperature 2T0 adn T0 respectively then which of the following is/are correct?