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A concrete slab has a length of 10 m on ...

A concrete slab has a length of 10 m on a winter night when the temperature is `0^@C`. Find the length of the slab on a summer day when the temperature is `35^@C`. The coefficient of linear expansion of concrete is `1.0 xx 10^(-5) C^(-1)`.

Text Solution

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Given `L_1=? L_0= 10m`
`alpha =1 xx 10^(-5)/^0C`
`t=35^0C`
`L_1= L_0( 1+alpha t)`
` =10(1+10^(-5)xx 35)`
`10+35xx10^-4`
`10.0035m`
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