There is some change in length when a \(33000 \mathrm{~N}\) tensile force is applied on a steel rod of area of cross-section \(10^{-3} \mathrm{~m}^2\). The change of temperature required to produce the same elongation, if the steel rod is heated, is (The modulus of elasticity is \(3 \times 10^{11} \mathrm{~N} / \mathrm{m}^2\) and the coefficient of linear expansion of steel is \(\left.1.1 \times 10^{-5} /{ }^{\circ} \mathrm{C}\right)\).

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.