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Question 30890
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Elasticity, Thermal Expansion, Calorimetry and Heat Transfer: Conduction Advanced MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Conduction AdvancedHardQuestion 30890

Question

Rate of heat flow in a hollow cylinder (inner radius r₁, outer r₂, conductivity k, length L, temperature difference ΔT) is:
  1. A
    2πkLΔT/ln(r₂/r₁)
    Correct
  2. B
    πkLΔT/ln(r₂/r₁)
  3. C
    kLΔT/(r₂−r₁)
  4. D
    2kLΔT/(r₂+r₁)

Correct answer

2πkLΔT/ln(r₂/r₁)

Explanation

For radial conduction through a cylindrical shell, Q/t = 2πkLΔT/ln(r₂/r₁).

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