Question

The binding energy per nucleon of ${}_8{O}^{16}$ is $7.97MeV$ and that of ${}_8{O}^{17}$ is $7.75MeV$. The energy required to remove one neutron from ${}_8{O}^{17}$ is ___________ $MeV$.

• A. $3.62$
• B. $3.52$
• C. $4.23$
• D. $7.86$

Answer 1

Answer: (C)

$4.23$

${}_8{O}^{16}⟶$ ${}_8{O}^{17}{+}_0{n}^1$
∴ energy to remove neutron

= binding energy of ${}_8{O}^{17}$ –binding energy of ${}_8{O}^{16}$ = (17 × 7.75) – (16 × 7.79) = 4.23 MeV.