एक सरल आवर्त निकाय में एक द्रव्यमान स्प्रिंग व्यवस्था को प्रदर्शित किया है जिसका तल घर्षण रहित है। गुटके का द्रव्यमान \(1\) कि.ग्रा. होने पर कोणीय आवृत्ति \(\omega_1\) है। जब इसका द्रव्यमान \(2\) किग्रा हो तो कोणीय आवृत्ति \(\omega_2\) है। अनुपात \(\omega_2 / \omega_1\) 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.