A sheet of metal has a hole of diameter 10cm. If the sheet is heated by 100°c what will be the diameter of the hole

To answer this question, we need to know the coefficient of linear expansion of the metal. The coefficient of linear expansion (α) is a material-specific constant that measures how much a material expands per degree change in temperature.

The formula to calculate the change in diameter due to thermal expansion is:

ΔD = α * ΔT * D

Where: ΔD is the change in diameter, α is the coefficient of linear expansion, ΔT is the change in temperature, and D is the original diameter.

Without the coefficient of linear expansion, we cannot calculate the exact change in diameter. However, it's important to note that if the sheet of metal expands due to heating, the hole in the sheet will also expand.