A steel rod is rigidly clamped at its two ends. The rod is under zero tension at `20^@C`. If the temperature rises to `100^@ C`, what force will the rod exert on one of the clapms? Area of cross section of the rod `= 2.00 mm^2` . Coefficient of linear expansion of steel `= 12.0 xx 10^(-6)C^(-1)` and Young's modulus of steel `2.00 xx 10^(11) N m^(-2)`.

Explanation

To solve the problem, we need to calculate the force exerted by a steel rod that is clamped at both ends when its temperature rises from \(20^\circ C\) to \(100^\circ C\). Here's a step-by-step solution:

### Step 1: Identify the given values
- Coefficient of linear expansion of steel, \(\alpha = 12.0 \times 10^{-6} \, ^\circ C^{-1}\)
- Young's modulus of steel, \(E = 2.00 \times 10^{11} \, \text{N/m}^2\)
- Initial temperature, \(T_1 = 20^\circ C\)
- Final temperature, \(T_2 = 100^\circ C\)
- Area of cross-section of the rod, \(A = 2.00 \, \text{mm}^2 = 2.00 \times 10^{-6} \, \text{m}^2\)
...