Two fine metal rods are showpieces in a museum dedicated to fantasy universes. At a temperature...

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Two fine metal rods are showpieces in a museum dedicated to fantasy universes. At a temperature of 297.000 K (the museum is in a country that uses the Kelvin temperature scale), the copper rod the two rods were built to be exactly the same length, forged by some master craftsperson long ago. Here the legends get a bit confused; they were forged either in the fires of Mordor (a place somewhat warmer than 297 K) or in the world of the Frost Giants of Jotunheim (a place somewhat cooler than 297 K). (a) By considering the coefficients of thermal expansion for aluminum and copper, convince me credit, provide only a verbal explanation here; the only mathematical terms should be "greater than" or "less than.") (b) At what temperature will the rods have the same length? (c) What will be their common length? Two fine metal rods are showpieces in a museum dedicated to fantasy universes. At a temperature of 297.000 K (the museum is in a country that uses the Kelvin temperature scale), the copper rod the two rods were built to be exactly the same length, forged by some master craftsperson long ago. Here the legends get a bit confused; they were forged either in the fires of Mordor (a place somewhat warmer than 297 K) or in the world of the Frost Giants of Jotunheim (a place somewhat cooler than 297 K). (a) By considering the coefficients of thermal expansion for aluminum and copper, convince me credit, provide only a verbal explanation here; the only mathematical terms should be "greater than" or "less than.") (b) At what temperature will the rods have the same length? (c) What will be their common length?

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