A) 7.976 MeV
B) 8.542 MeV
C) 6.62 MeV
D) 931 MeV
Correct Answer: A
Solution :
Key Idea Binding energy \[=\Delta \,M\times 931\] MeV Binding energy per nucleon \[=\frac{total\text{ }binding\text{ }energy}{number\text{ }of\text{ }nucleons}\] \[_{8}^{16}O\] contain 8 protons, 8 neutrons and 8 electrons. Hence, mass of \[_{8}^{16}O\]= mass of 8 protons + mass of 8n + mass of \[8{{e}^{-}}\] \[=8\times 1.007277+8\times 1.008665\] \[+8\times 0.0005486\] = 16.1319248 u Mass defect \[(\Delta M)=M-M\] = 16.1319248 - 15.994910 = 0.1370148 u Binding energy = 0.1370148 \[\times \] 931 MeV =127.62 MeV \[\because \] Number of nucleons in \[_{8}^{16}O=16\] \[\therefore \] Binding energy per nucleon \[=\frac{127.62}{16}\] MeV = 7.976 MeV
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