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The lengths of a copper rod are 200.166 ...

The lengths of a copper rod are 200.166 cm and 200.664 cm at `50^(@)C` and `200^(@)C` respectively. What is the coefficient of linear expansion of copper?

Text Solution

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`alpha=(l_(2)-l_(1))/(l_(1)(t_(2)-t_(1)))`
Given, `l_(1)=200.166 cm, l_(2)=200.6664 cm, t_(1)=50^(@)C " and " t_(2)=200^(@)C`
`therefore " " alpha=(200.664-200.166)/(200.166(200-50))=(0.498)/(200.166 times 150)`
`" " =16.6 times 10^(-6@)C^(-1)`
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