द्रव्यमान संख्या \(A\) के एक नाभिक की त्रिज्या \(R\) का अनुमान \(R =\left(1.3 \times 10^{-15}\right)\, A ^{1 / 3} \,m\) सूत्र से लगाया जा सकता है। तब एक नाभिक के द्रव्यमान घनत्व की परिमाण कोटि (order of magnitude) होगी : (प्रोटान का द्रव्यमान \(\cong\) न्यूट्रॉन का द्रव्यमान \(\left.\simeq 1.67 \times 10^{-27} \,kg \right)\)

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.