Assume a metal rod with an initial length L, is heated through a temperature increase of AT to a length L, and then cooled to its initial temperature-that is, through a temperature decrease of -AT (same AT increase and decrease). Call the final length of the rod L₂ after this thermal cycle. (a) Show that Eq. 3 implies that L₂ = L.[1- (aAT)], that is, L₂ Lo-
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