MHT CET Physics question

PhysicsThermal Properties of MatterMHT CET

A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conduct heat '' in time 't'. The metallic rod is now melted and the material is formed into a rod of half the radius of the original rod. This rod when placed in thermal contact with the same two reservoirs of heat, conducts heat '' in time 't'. The difference in heat conducted, () is [MHT-CET 2012]

Answer: (C)

Solution

Halving the radius makes the area , and for constant volume the length becomes 4 times; since , and

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Question ID VK-065974