The resistance of the platinum wire of a platinum resistance thermometer at the ice point is 10 \(\Omega\) and at steam point is 10.46 \(\Omega\). When the thermometer is inserted in a hot bath, the resistance of the platinum wire is 11.6 \(\Omega\). Calculate the temperature of the bath.

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.