AIPMT MAINS2009Physics-Thermal Properties of Matter

AIPMT MAINS 2009 Physics Conduction MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The two ends of a rod of length L and a uniform cross-sectional area A are kept at two temperatures T₁ and T₂ (T₁ > T₂). The rate of heat transfer, (dQ/dt) through the rod in a steady state is given by:

A

dQ/dt = (k(T₁ - T₂))/LA

B

dQ/dt = kLA(T₁ - T₂)

C

dQ/dt = (kA(T₁ - T₂))/L

D

dQ/dt = (k(L(T₁ - T₂)))/A

Correct Answer

Option C

Detailed Explanation

The rate of heat transfer through a rod in steady state is given by Fourier's law of heat conduction: dQ/dt = kA(T₁ - T₂)/L, where k is the thermal conductivity.

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