Given the resistance of copper and iron wires at a specific temperature (20.0⁰), we want to calculate the temperature at which these two resistances will be equal. To solve this, let's consider the physics math equation that dictates how temperatures affect the resistance of a material.
The resistance R at a temperature T is given by the formula:
R = R0*(1 + alpha*(T - T0))
In the formula, R0 stands for the resistance at the temperature T0, alpha stands for the temperature coefficient of resistance.
From the stated problem, we have the following equations for copper and iron wires:
For copper, 0.425 Ω = R0_copper*(1 + alpha_copper*(20 - T0_copper))
Similarly, for iron wire, we have 0.455 Ω = R0_iron*(1 + alpha_iron*(20 - T0_iron))
Therefore, at a certain temperature, the resistance for copper and iron should be equal. Therefore, we equate the formula for copper and iron:
R0_copper*(1 + alpha_copper*(T - T0_copper)) = R0_iron*(1 + alpha_iron*(T - T0_iron))
To solve this equation, we need the values of R0, alpha, and T0 for both copper and iron wires. The problem, however, does not provide these values. Thus, due to the lack of these values, it is not possible to solve the equation and find the temperature at which the resistances of the copper and iron wires are equal.
So, unfortunately, we can't find the temperature for this problem based on the information provided.