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JIPMER 2009
Exam
JIPMER
Year
2009
Subject
Physics
Chapter
Nuclear Physics

JIPMER 2009 · Physics · Nuclear Physics

If M_O is the mass of an oxygen isotope _8 O^ 17 , M_p and M_n are...

If MOM_O is the mass of an oxygen isotope 8O17,Mp{ }_8 \mathrm{O}^{17}, M_p and MnM_n are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

Options

  1. A(MO−8Mp)c2\left(M_O-8 M_p\right) c^2
  2. B(MO−8Mp−9Mn)c2\left(M_O-8 M_p-9 M_n\right) c^2
  3. CMOc2M_O c^2
  4. D(MO−17Mn)c2\left(M_O-17 M_n\right) c^2

Correct answer

B. (MO−8Mp−9Mn)c2\left(M_O-8 M_p-9 M_n\right) c^2

Step-by-step solution

Binding energy BE=(Mnucleus −Mnucleons )c2=(MO−8Mp−9Mn)c2\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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