Two rods of different metals of coefficient of linear expansion `alpha_(1)` and `alpha_(2)` and initial length `l_(1)` and `l_(2)` respectively are heated to the same temperature. Find relation in `alpha_(1), alpha_(2), l_(1)` and `l_(2 )`such that difference between their lengths remain constant.

Explanation

To find the relation between the coefficients of linear expansion \(\alpha_1\) and \(\alpha_2\) and the initial lengths \(l_1\) and \(l_2\) of two rods such that the difference between their lengths remains constant when heated, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Linear Expansion**:
The change in length \(\Delta L\) of a rod due to temperature change can be expressed as:
\[
\Delta L = L_0 \cdot \alpha \cdot \Delta T
...