What should be the length of steel and copper rods at `0^(@)C` that the length of steel rod is 5 cm longer than copper at all termperature? Given `alpha_(Cu) = 1.7 xx 10^(5) .^(@)C^(-1)` and `alpha_(steel) = 1.1 xx 10^(5) .^(@)C^(-1)`.

Explanation

To solve the problem, we need to find the initial lengths of the steel and copper rods at \(0^\circ C\) such that the steel rod is always 5 cm longer than the copper rod at all temperatures.

### Step-by-Step Solution:

1. **Define the lengths of the rods at \(0^\circ C\)**:
Let the length of the copper rod at \(0^\circ C\) be \(L\) cm. Therefore, the length of the steel rod at \(0^\circ C\) will be \(L + 5\) cm.

2. **Understand the linear expansion formula**:
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