\(36\, \Omega\) के एक समान उष्मीय तार को \(240\, V\) विभवान्तर के सिरे से जोड़ दिया जाता है। तार को आधा काट दिया जाता है तथा प्रत्येक आधे भाग पर \(240\, V\) विभवान्तर लगाया जाता है। पहली दशा तथा दूसरी दशा में कुल शक्ति क्षय का अनुपात \(1 : x\) होता है जहाँ \(x\,=\,.....\) है।

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.