\({ }_8^{16} \mathrm{O}\)અને \({ }_8^{17} \mathrm{O}\) ન્યુક્લિયસોની ન્યુક્લિઓનદીઠ બંધનઊર્જા અનુક્રમે 7.97 MeV અને 7.75 MeV છે, તો \({ }_8^{17} \mathrm{O}\) ન્યુક્લિયસમાંથી એક ન્યુટ્રોન મુક્ત કરવા જરૂરી ઊર્જાનું મૂલ્ય_______ MeV

A 3.52
B 3.62
C 4.23
D 7.86

Verified Solution

Answer & Solution

Correct Answer

(C) 4.23

Step-by-step Solution

Detailed explanation

C
\({ }_8^{17} \mathrm{O} \rightarrow{ }_8^{16} \mathrm{O}+{ }_0^1 n\)
ન્યુટ્રોનને મુક્ત કરવા જરૂરી ઉર્જા
\(\begin{aligned} & =7.75 \times 17-7.97 \times 16 \\ & =131.75-127.52=4.23 \mathrm{MeV}\end{aligned}\)

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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