A steel rod is clamped at its two ends and rests on a fixes horizontal base. The rod is unstrained at `20^@C`. Find the longitudinal strain developed in the rod if the temperature rises to `50^@C`. Coefficient of linear expansion of steel `=1.2 xx 10^(-5 @)C^(-1)`.

Explanation

To solve the problem step by step, we will use the concept of linear expansion and the definition of strain.

### Step 1: Understand the problem
We have a steel rod that is clamped at both ends, meaning it cannot expand freely. The rod is initially at a temperature of 20°C and we need to find the longitudinal strain when the temperature rises to 50°C. The coefficient of linear expansion for steel is given as \( \alpha = 1.2 \times 10^{-5} \, \text{°C}^{-1} \).

### Step 2: Calculate the change in temperature
The change in temperature \( \Delta T \) can be calculated as:
\[
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