Chapter 14. Change in length due to a temperature change (14-18)

Question

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{"title":"Change in the length of an object","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"9,5,73,41\"}]"} {"title":"Length of the object before the temperature change","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"157,6,182,42\"}]"} {"title":"Temperature change of the object that causes the length change","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"213,5,282,43\"}]"} {"title":"Coefficient of linear expansion of the substance of which the object is made","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"122,10,160,45\"}]"}

Question

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{"title":"Change in the length of an object","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"9,5,73,41\"}]"} {"title":"Length of the object before the temperature change","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"157,6,182,42\"}]"} {"title":"Temperature change of the object that causes the length change","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"213,5,282,43\"}]"} {"title":"Coefficient of linear expansion of the substance of which the object is made","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"122,10,160,45\"}]"}

Question

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{"title":"Change in the length of an object","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"9,5,73,41\"}]"} {"title":"Length of the object before the temperature change","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"157,6,182,42\"}]"} {"title":"Temperature change of the object that causes the length change","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"213,5,282,43\"}]"} {"title":"Coefficient of linear expansion of the substance of which the object is made","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"122,10,160,45\"}]"}

Question

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{"title":"Change in the length of an object","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"9,5,73,41\"}]"} {"title":"Length of the object before the temperature change","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"157,6,182,42\"}]"} {"title":"Temperature change of the object that causes the length change","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"213,5,282,43\"}]"} {"title":"Coefficient of linear expansion of the substance of which the object is made","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"122,10,160,45\"}]"}

Review

Experiment shows that if the temperature change \(\Delta{t}\) of a solid object is not too great, the change in each dimension of the object is proportional to \(\Delta{t}\). In particular, if a solid object initially has length \(L_0\), the change \(\Delta{L}\) in its length when the temperature changes by \(\Delta{t}\) is

The quantity \(\alpha\) (Greek letter alpha) in Equation 14-18 is called the \(\textbf{coefficient of linear expansion}\). It depends on what the object is made of, but not on the shape or size of the object.