Physics

Physics

Problem

A steel rod and a copper rod, each 1.0 m1.0\,\text{m} long at 20 ∘C20\,^{\circ}\text{C}, are rigidly joined end to end. The coefficients of linear expansion are αsteel=12×10−6 K−1\alpha_{\text{steel}} = 12\times10^{-6}\,\text{K}^{-1} and αcopper=17×10−6 K−1\alpha_{\text{copper}} = 17\times10^{-6}\,\text{K}^{-1}. At what temperature will the copper rod be 1.5 mm1.5\,\text{mm} longer than the steel rod? a) 120 ∘C120\,^{\circ}\text{C} b) 320 ∘C320\,^{\circ}\text{C} c) 50 ∘C50\,^{\circ}\text{C} d) 170 ∘C170\,^{\circ}\text{C}

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