Assume a metal rod with an initial length Lo is heated through a temperature increase of T to a length L1 and then cooled to its initial temperature—that is, through a temperature decrease of –T

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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  1. Assume a metal rod with an initial length Lo is heated through a temperature increase of T to a length L1 and then cooled to its initial temperature—that is, through a temperature decrease of –T (same T increase and decrease). Call the final length of the rod L2 after this thermal cycle.
    • Show that L2 = Lo [1 - (T)2], that is, L2 Lo.
    • What is the implication if the rod were taken through a number of such thermal cycles?
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