A blacksmith fixes iron ring on the rim of the wooden wheel of a bulkock cart. The diameter of the rim and the ring are `5.243 m` and `5.231 m` respectively at `27^(@)C`. To what temperature should the ring be heated so as to fit the rim of the wheel ? Coefficient of linear expansion of iron =` 1.20 xx 10^(-5) K^(-1)`

Explanation

To solve the problem of determining the temperature to which the iron ring should be heated in order to fit onto the rim of the wooden wheel, we will use the concept of linear expansion. Here are the steps to arrive at the solution:

### Step 1: Identify the given data
- Diameter of the rim of the wheel (L2) = 5.243 m
- Diameter of the ring at 27°C (L1) = 5.231 m
- Initial temperature (T1) = 27°C
- Coefficient of linear expansion of iron (α) = 1.20 × 10^(-5) K^(-1)

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