Two rods one made of copper and other made of steel of same length and same cross sectional area are joined together. The thermal conductivity of copper and steel are 385 J s ⁻¹ K ⁻¹ m ⁻¹ and 50 J s ⁻¹ K ⁻¹ m ⁻¹ respectively. The free ends of copper and steel are held at 100 ° C and 0 ° C respectively. The temperature at the junction is, nearly: (a) 88.5 (b) 12 (c) 50 (d) 73

Answer: (a). Same heat current in both rods (same L, A): 385(100-θ) = 50(θ - 0) 435θ = 38500 θ ≈ 88.5, so the answer is (a).

Two rods one made of copper and other made of steel of same length… | NEET 2022 (Phase 2)

Q28NEET 2022 · PHASE 2Medium

Heat Conduction

Two rods one made of copper and other made of steel of same length and same cross sectional area are joined together. The thermal conductivity of copper and steel are 385 J s ${}^{-1}$ K ${}^{-1}$ m ${}^{-1}$ and 50 J s ${}^{-1}$ K ${}^{-1}$ m ${}^{-1}$ respectively. The free ends of copper and steel are held at 100 $^\circ$ C and 0 $^\circ$ C respectively. The temperature at the junction is, nearly:

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Answer: (a)

Same heat current in both rods (same $L$ , $A$ ): $385(100-\theta) = 50(\theta - 0)$
$435\theta = 38500$
$\theta \approx 88.5^\circ\text{C}$ , so the answer is (a).

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