A meter scale made of steel is calibrated at `20^@C` to give correct reading. Find the distance between 50 cm mark and 51 cm mark if the scale is used at `10^@C`. Coefficient of linear expansion of steel is `1.1 xx 10^(-5 @)C^(-1)`

Explanation

To solve the problem, we will go through the following steps:

### Step 1: Understand the Initial Conditions
At \(20^\circ C\), the meter scale is calibrated to give correct readings. The distance between the 50 cm mark and the 51 cm mark is \(1 \text{ cm}\) or \(0.01 \text{ m}\).

### Step 2: Identify the Coefficient of Linear Expansion
The coefficient of linear expansion (\(\alpha\)) for steel is given as:
\[
...