A steel tape 1m long is correctly calibrated for a temperature of `27^(@)C`. The length of a steel rod measured by this tape is found to be `63.0cm` on a hot day when the temperature is `45.0^(@)C`. What is the acutual length of the steel rod on that day? what is the length of the same steel rod on a day when the temperature is `27.0^(@)C` ? coefficient of linear expansion of steel ` = 1.20xx10^(-5) .^(@)C^(-1)`.

Explanation

To solve the problem, we need to determine the actual length of a steel rod measured using a steel tape that expands with temperature. We will follow these steps:

### Step 1: Understand the given data
- Length of the steel tape at 27°C (L) = 1 m = 100 cm
- Measured length of the steel rod on a hot day (L_measured) = 63.0 cm
- Temperature on a hot day (T_hot) = 45.0°C
- Calibration temperature (T_initial) = 27.0°C
- Coefficient of linear expansion of steel (α) = 1.20 × 10^(-5) °C^(-1)
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