Physics

Physics

Problem

A brass sleeve is 0.998 m long at 20 °C, while a steel rod is exactly 1.000 m long at the same temperature. The rod is to be inserted completely inside the sleeve by heating the combination to a uniform temperature TT. Take αbrass=2.0×10−5 K−1\alpha_{\text{brass}} = 2.0\times10^{-5}\,\text{K}^{-1} and αsteel=1.2×10−5 K−1\alpha_{\text{steel}} = 1.2\times10^{-5}\,\text{K}^{-1}. The temperature TT at which the rod just fits the sleeve is closest to a) 83∘ C83^\circ\,\text{C} b) 120∘ C120^\circ\,\text{C} c) 270∘ C270^\circ\,\text{C} d) 187∘ C187^\circ\,\text{C}

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