A steel rod `(Y = 2.0 xx 10^(11) N//m^(2) " and "alpha = 10^(-50).^(@)C^(-1))` of length 1 m and area of cross-section 1 `cm^(2)` is heated from `0.^(@)C` to `200^(@)C`, without being allowed to extend or bend. What is the tension produced in the rod?

Explanation

To solve the problem of finding the tension produced in a steel rod when it is heated without being allowed to extend or bend, we can follow these steps:

### Step 1: Identify the Given Information
We have the following parameters:
- Young's modulus (Y) = \(2.0 \times 10^{11} \, \text{N/m}^2\)
- Coefficient of linear expansion (\(\alpha\)) = \(10^{-5} \, \text{°C}^{-1}\)
- Length of the rod (L) = 1 m
- Area of cross-section (A) = 1 cm² = \(1 \times 10^{-4} \, \text{m}^2\)
...