Final answer:
The increase in resistance of an iron filament due to temperature change is calculated using the equation R = Ro(1 + αΔT). Nevertheless, the accurate computation cannot be performed without the specific temperature coefficient of resistance for iron, which is not provided in the question.
Step-by-step explanation:
The question pertains to the change in resistance of an iron filament due to a change in temperature. Using the equation for the temperature dependence of resistance, R = Ro(1 + αΔT), where α is the temperature coefficient of resistance and ΔT is the change in temperature, we can calculate the new resistance. The fractional change in resistance is calculated as (R - Ro) / Ro, where Ro is the original resistance and R is the new resistance after the temperature change.
However, there is an inconsistency in the provided information concerning the value of the temperature coefficient and the initial and final resistance values, which are essential for calculating the new resistance. Therefore, we cannot solve this problem without the correct values. Typically, scientific literature or a physics textbook would provide the temperature coefficient for iron, which is necessary to calculate the resistance change.