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A hole is drilled in a copper sheet. The...

A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at `27^@C`. What is the change in the diameter of the hole when the sheet is heated to `227^@C`? Coefficient of linear expansion of copper ` = 1.70 xx 10^5 ^@C^-1`.

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We are given : L= Diameter of hole =4.24 cm
`DeltaT=227-27=200^(@)C`
and `alpha_(L)=1.70xx10^(-5)K^(-1)`
change in diameter
We are to calculate , change in diameter of sheet
`DeltaL=alpha_(L)DeltaTxxL`
`=(1.7xx10^(-5)xx4.24xx200)cm=1.44xx10^(-2)cm`.
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