The length of a metal wire is `l_(1)` when the tension in it is `F_(1)` and `l_(2)` when the tension becomes `F_(2)`. Find the natural length of wire.

Explanation

To find the natural length of the wire, we can follow the steps outlined below:

### Step-by-Step Solution:

1. **Define Variables**:
Let the natural length of the wire be denoted as \( L \). The lengths of the wire under different tensions are given as \( l_1 \) when the tension is \( F_1 \) and \( l_2 \) when the tension is \( F_2 \).

2. **Calculate Stress and Strain for the First Case**:
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