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Three conducting rods of same material and cross-section are shown in figure. Temperatures of A, D and C are maintained at 20⁰C, 90⁰C and 0⁰C. The ratio of lengths BD and BC, if there is no heat flow in AB is

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Detailed Solution

There will be no heat flow through AB, if temperature of B is also 20⁰C and heat current in DB is equal to heat current in BC.

$∴ H_{D B} = H_{B C} or \frac{70}{(l_{B D} / K A)} = \frac{20}{(l_{B C} / K A)} or \frac{l_{B D}}{l_{B C}} = \frac{7}{2}$

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