Final answer:
Without specific material properties, such as the coefficients of linear expansion, the difference in length of the two wires cannot be accurately determined. An example calculation using assumed values for copper and aluminum has been presented for educational purposes.
Step-by-step explanation:
The question revolves around the concept of thermal expansion in physics, where different materials expand at different rates when heated. The difference in the length of two wires after heating can be calculated if the coefficients of linear expansion of the materials and their initial lengths are known. Unfortunately, we aren’t provided with the type of materials these wires are made of or their coefficients of linear expansion, which are essential to solve the problem.
For the sake of an example, let’s assume that we have a copper wire and an aluminum wire, both initially 100 cm at 20°C. If the coefficient of linear expansion for copper is 16.5×10-6 °C-1, and for aluminum, it is 23×10-6 °C-1, we can apply the formula:
Length change = original length × coefficient of linear expansion × temperature change
For each wire, substitute the known values into the formula and calculate the length change. The difference in length between the two wires after being heated can be found by simply subtracting the length changes of each wire from one another.