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Question 30897
JEE Physics · Hard

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

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Conduction AdvancedHardQuestion 30897

Question

In steady state, the temperature inside a spherical shell (inner radius r₁, outer r₂, inner temp T₁, outer temp T₂) at radius r is:
  1. A
    Linear in r
  2. B
    Proportional to 1/r
    Correct
  3. C
    Logarithmic in r
  4. D
    Constant

Correct answer

Proportional to 1/r

Explanation

For spherical shell: T(r) = T₁ + (T₂−T₁) × (1/r₁−1/r)/(1/r₁−1/r₂). This is a 1/r profile.

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