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Inside the house where the temperature is 20∘C20∘C, we measure the length of an aluminum rod...

Inside the house where the temperature is 20∘C20∘C, we measure the length of an aluminum rod with a micrometer MADE OF STEEL. (A micrometer is a device which measures distances very accurately.) We find the rod to be 10.0000 cm long. If we repeat this measurement outside where the temperature is-13.7 ∘∘C, what result would we obtain? Caution: the size of the micrometer is also affected by the temperature, so we no longer obtain the true length of the rod when we measure it with the micrometer. We want to find the length of the cold rod according to the cold micrometer. Also recall that using a ruler is a ratio thing: if the ruler were stretched to twice its correct length, you would measure things with lengths half as big as they should be.

  • ??????=11×10−6/∘?αsteel=11×10−6/∘C ?????????=24×10−6/∘?αaluminum=24×10−6/∘C
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