Find the ratio of the lengths of an iron rod and an aluminum rod for which the difference in the lengths in independent of temperature. Coefficients of linear expansion of iron and aluminum are `12 xx10^(-6)C^(-1)` and `23 xx 10^(-6)C^(-1)`respectively.

Explanation

To find the ratio of the lengths of an iron rod and an aluminum rod for which the difference in their lengths is independent of temperature, we can follow these steps:

### Step 1: Understand the Problem
We need to find the lengths of two rods (iron and aluminum) such that the difference in their lengths does not change with temperature. The coefficients of linear expansion for iron and aluminum are given.

### Step 2: Define Initial Lengths
Let:
- \( L_{i1} \) = initial length of the iron rod
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