Obtain a general relationship between temperature coefficient of resistance `alpha_(1)` and `alpha_(2)` at temperature `T_(1) .^@C` and `T_(2) .^@C` for a given conductor.

Explanation

To derive the general relationship between the temperature coefficients of resistance \( \alpha_1 \) and \( \alpha_2 \) at temperatures \( T_1 \) and \( T_2 \) for a given conductor, we can follow these steps:

### Step 1: Define the resistance at a reference temperature
Let the resistance of the conductor at 0°C be \( R_0 \). The temperature coefficient of resistance at this reference point is denoted as \( \alpha_0 \).

### Step 2: Write the expression for resistance at temperature \( T_1 \)
Using the formula for resistance at a temperature \( T \):
\[
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