The resistances of an iron wire and a copper wire at `20^(@)C`are `3.9(Omega)`and `4.1(Omega)`respectively. At what temperature will the resistances be equal?Temperature coefficient of resistivity for iron is `5.0xx10^(-3)K^(-1)`and for copper it is `4.0xx10^(-3)k^(-1).`Neglect any thermal expansion.

Explanation

To find the temperature at which the resistances of an iron wire and a copper wire become equal, we can use the formula for resistance as a function of temperature:

\[ R(T) = R_0 \left(1 + \alpha (T - T_0)\right) \]

Where:
- \( R(T) \) is the resistance at temperature \( T \)
- \( R_0 \) is the initial resistance at temperature \( T_0 \)
- \( \alpha \) is the temperature coefficient of resistivity
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