एक अवमन्दित दोलक की कोणीय आवृत्ति इससे दी जाती है, \(\omega=\sqrt{\left(\frac{ k }{ m }-\frac{ r ^{2}}{4 m ^{2}}\right)}\) जहाँ \(k\) कमानी स्थिराँक है, \(m\) दोलक का द्रव्यमान है और \(r\) अवमन्दन स्थिराँक है। यदि अनुपात \(\frac{ r ^{2}}{ mk }=8 \%\) है, तब अनवमन्दित दोलक के मुकाबले आवर्त काल में परिवर्तन लगभग 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.