AIPMT PRELIMS2010Physics-Thermodynamics

AIPMT PRELIMS 2010 Physics Heat Conduction MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat Q in time t. The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What is the amount of heat conducted by the new rod, when placed in thermal contact with the two reservoirs in time t?

A

Q/2

B

Q/4

C

Q/16

D

2Q

Correct Answer

Option C

Detailed Explanation

The new rod has a cross-sectional area A' = A/4 and length L' = 4L. The heat conducted is proportional to A'/L', giving Q' = Q/16.

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