Final answer:
To find the temperature where aluminum has the same resistivity as tungsten, one must use the temperature coefficient of resistivity and the formula ‘R = R0(1 + αΔT)’ for both metals and equate these to solve for the specific temperature.
Step-by-step explanation:
To determine the temperature at which aluminum has the same resistivity as tungsten, we would need to know the temperature coefficient of resistivity for both materials. These coefficients dictate how the resistivity of a material changes with temperature. As the resistivity of a pure metal like aluminum increases with temperature, we could use the formula ‘R = R0(1 + αΔT)’, where ‘R’ is the resistance at temperature ‘T’, ‘R0’ is the initial resistance, α is the temperature coefficient of resistivity, and ΔT is the temperature change. The challenge here would be to find the specific temperatures at which their resistivities match, by equating the respective expressions for the resistivity of aluminum and tungsten, taking into account their initial resistivities and temperature coefficients.