Two rods. (a) Show that if the lengths of two rods of dif- ferent solids are inversely proportional to their respective coef- ficients of linear expansion at the same initial temperature, the difference in length between them will be constant at all tem- peratures. What should be the lengths of (b) a steel and (c) a brass rod at 0.00°C so that at all temperatures their difference in length is 0.30 m?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter1: Temperature And Heat
Section: Chapter Questions
Problem 104AP: An engineer wants to design a structure in which the difference in length between a steel beam and...
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Two rods. (a) Show that if the lengths of two rods of dif-
ferent solids are inversely proportional to their respective coef-
ficients of linear expansion at the same initial temperature, the
difference in length between them will be constant at all tem-
peratures. What should be the lengths of (b) a steel and (c) a
brass rod at 0.00°C so that at all temperatures their difference in
length is 0.30 m?
Transcribed Image Text:Two rods. (a) Show that if the lengths of two rods of dif- ferent solids are inversely proportional to their respective coef- ficients of linear expansion at the same initial temperature, the difference in length between them will be constant at all tem- peratures. What should be the lengths of (b) a steel and (c) a brass rod at 0.00°C so that at all temperatures their difference in length is 0.30 m?
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