A Course of Practical Physics for Students of Science And Engineering

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EXPANSION OF SOLIDS AND LIQUIDS.
^^'hen the temperature of a body is changed and the pres- sure kept constant, in general, its linear dimensions will suffer a change which is a function of the change of temperature. If a body at 0° is heated through a small temperature range, the change in the length of any linear dimension is found to be di- rectl}' proportional to the change in temperature. Thus if a rod which has a length of l^ at 0° be heated successively to tem- •peratures t^° and t^" (whe
...re t^° and t^" are not far from 0°), then its length at t^° will be /, = /„(i+o^) (i) where a is a constant called the mean coefficient of linear expan- sion between 0° and t^" . Similarly the length of the rod at 1.^° will be l^ = l„(i + a.,t^) (2) where a^ is the coefficient of linear expansion between o°and t.° .
Since ^1° is nearly equal to t^" , a = a^. Consequently, on being heated from

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