जड़त्व आघूर्ण \(I _{1}\) तथा \(\frac{ I _{1}}{2}\) की दो समअक्षीय डिस्क कोणीय वेग \(\omega_{1}\) तथा \(\frac{\omega_{1}}{2}\), क्रमश :, से अपनी उभयनिष्ठ अक्ष के परित: घूम रहीं है। जब दोनों डिस्क को सटा दिया जाता है तो वे बराबर कोणीय वेग से घूमते है। यदि \(E _{ f }\) तथा \(E _{ i }\) अंतिम एवं प्रारम्भिक कुल ऊर्जाएँ हों तो \(\left( E _{ f }- E _{ i }\right)\) का मान होगा ।

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.