The area of a rectangular copper sheet is `0.30^(@) m^(2)`. If the sheet is heated through `10^(@)C`, its area increases by `1.02xx10^(-4) m^(2)`. Calculate the coefficient of areal expansion of copper.

Explanation

Given area of the copper sheet, `a=0.30 m^(2)`
`"Increase in temperature, "Delta theta=10^(@)C`
`"Increase in area, "Delta a=1.02xx10^(-4) m^(2)`.
`Delta a = a beta Delta theta," where " beta "is the coefficient of a real expansion."`
`"Thus, "beta=(Deltaa)/(a Deltatheta)=(1.02xx10^(-4))/(0.3xx10^(@)C)=3.4xx10^(-5)K^(-1).`
`=3.4xx10^(-5)""^(@)C^(-1)`