A hole is drilled in a copper sheet. The diameter of the hole is 4.24cm at `27.0^(@)C`. What is the change in the diameter of the when the sheet is heated to `227^(@)C`? Coefficient of linear expansion of copper `=1.70xx10^-5""^(@) C^(-1)`?

Explanation

Given, the coefficient of linear expansion of copper,
`alpha = 1.70 xx 10^(-5) K^(-1) " or " 1.70 xx 10^(-5) ""^@C^(-1)`
The change in diameter (Ad) of the hole can be calculated using:
` Delta d = d alpha Delta T`
Here , d = 4.24 cm
` Delta T = 200^@C`
` rArr Delta d = 4.24 xx 1.70 xx 10^(-5) xx 200`
`1.44 xx 10^(-2) cm `