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Question: Answered & Verified by Expert
If $M_O$ is the mass of an oxygen isotope ${ }_8 \mathrm{O}^{17}, M_p$ and $M_n$ are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is
PhysicsNuclear PhysicsJIPMERJIPMER 2009
Options:
  • A $\left(M_O-8 M_p\right) c^2$
  • B $\left(M_O-8 M_p-9 M_n\right) c^2$
  • C $M_O c^2$
  • D $\left(M_O-17 M_n\right) c^2$
Solution:
1789 Upvotes Verified Answer
The correct answer is: $\left(M_O-8 M_p-9 M_n\right) c^2$
Binding energy
$\begin{aligned}
\mathrm{BE} & =\left(M_{\text {nucleus }}-M_{\text {nucleons }}\right) c^2 \\
& =\left(M_O-8 M_p-9 M_n\right) c^2
\end{aligned}$

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