A thin copper wire of length increases by when heated from temperature to . What is the percentage change in the area when a thin copper plate having dimensions is heated from to ?
Step 1: Given
Length of the copper wire =
Percentage change in the length,
Initial temperature =
Final temperature =
Dimension of copper plate =
Assume the coefficient of linear expansion be .
Assume the coefficient of area (superficial) expansion be .
Step 2: Formula used and calculation
We know that
Area of copper plate =
On heating change in the area will be given by
We know that for a given material .
Therefore change in area will be .