CUET · PHYSICS · PYQ PAPER 2023

The nuclide having maximum value of binding energy per nucleon is

A \({ }_{13}^{27} Al\)
B \({ }_{92}^{238} U\)
C \({ }_{26}^{56} Fe\)
D \({ }_{82}^{208} Pb\)

Verified Solution

Answer & Solution

Correct Answer

(C) \({ }_{26}^{56} Fe\)

Step-by-step Solution

Detailed explanation

Binding energy per nucleon is a measure of nuclear stability and peaks for elements with a mass number near 56 . Iron- \(56\left({ }_{26}^{56} Fe \right)\) has the maximum value of approximately 8.8 MeV per nucleon, making it one of the most stable nuclei in the universe. C)…

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.

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