Two identical conducting rods are first connected independently to two vessels, one containing water at 100°C and the other containing ice at 0°C. In the second case, the rods are joined end to end and connected to the same vessels. Let q₁ and q₂ g/s be the rate of melting of ice in the two cases respectively. The ratio q₂/q₁ is
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Question

Two identical conducting rods are first connected independently to two vessels, one containing water at 100°C and the other containing ice at 0°C. In the second case, the rods are joined end to end and connected to the same vessels. Let q₁ and q₂ g/s be the rate of melting of ice in the two cases respectively. The ratio q₂/q₁ is

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G1 Physics · Accepted Answer

In steady conduction, heat current is H=kAΔT/L. Treat each segment as a thermal resistance Rₜₕ=L/(kA); series resistances add and parallel heat currents add. Evaluating the given data/statements gives 1/4. Therefore the correct answer is D.