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Equivalent thermal conductivity of the composite rod in parallel combination will be:

  1. K = K₁Δ(T₁ − T₂) / d
  2. K = K₂Δ(T₁ − T₂) / d
  3. K = K₁Δ(T₁ − T₂) / [K₁ + K₂]
  4. K = K₂Δ(T₁ − T₂) / [K₁ + K₂]

Correct answer: K = K₁Δ(T₁ − T₂) / [K₁ + K₂]

Solution

In a parallel combination of rods, the equivalent thermal conductivity is determined by the weighted contribution of each material's conductivity. The correct formula is K = K₁Δ(T₁ − T₂) / [K₁ + K₂].

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