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An aluminium rod of length 50cm is heate...

An aluminium rod of length 50cm is heated so that its temperature increases from `20^(@)C" to "80^(@)C`. If the linear coefficient of expansion of aluminium is `24xx10^(-6)//""^(@)C` find the increase in the length of the aluminium rod.

Text Solution

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`l_(1)=50cm,t_(1)=80^(@)C,`
`t_(2)=20^(@)C,alpha=24xx10^(-6)//""^(@)C`
Coefficent of linear expansion, `alpha=(l_(2)-l_(1))/(l_(1)(t_(2)-t_(1)))`
The increase in length of the rod,
`(l_(2)-l_(1))=alphal_(1)(t_(2)-t_(1))`
= `24xx10^(-6)xx50xx(80-20)=7.2xx10^(-2)cm`.
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