Question

A square plate of side 2 units is heated through 10° C. If the linear expansivity of the material is x,

increase in the surface area of the plate is​

Answer 1

The increase in the surface area of the square plate is 80x square units.

Step-by-step explanation:

According to the formula for thermal expansion in two dimensions, the change in area (AA) is given by:

AA = 2aAΔT

Where:

• AA is the increase in surface area
• a is the linear expansivity of the material
• A is the original surface area
• ΔT is the change in temperature

In this case, the side length of the square plate is 2 units, so the original surface area is A = (2 units) x (2 units) = 4 square units. The change in temperature is 10°C. Therefore, the increase in surface area can be calculated as:

AA = 2x x (4 square units) x (10°C) = 80x square units

So, the increase in the surface area of the plate is 80x square units.