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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Nuclear Physics

NEET 2008 · Physics · Nuclear Physics

46. If M(A ; Z), M_p and M_n denote the masses of the nucleus _Z^A...

46. If M(A;Z),MpM(A ; Z), M_p and MnM_n denote the masses of the nucleus ZAX{ }_Z^A X, proton and neutron respectively in units of u\mathrm{u}\left(1 \mathrm{u}=931.5 \mathrm{MeV} / \mathrm{C}^2\right)andand\mathrm{BE}representsitsbondingenergyinrepresents its bonding energy in\mathrm{MeV}, then

Options

  1. AM(A,Z)=ZMp+(A−Z)Mn+BE/C2M(A, Z)=Z M_p+(A-Z) M_n+\mathrm{BE} / C^2
  2. BM(A,Z)=ZMp+(A−Z)Mn−BE/C2M(A, Z)=Z M_p+(A-Z) M_n-\mathrm{BE} / \mathrm{C}^2
  3. C\begin{aligned} & M(A, Z)=Z M_p+(A-Z) M_n+B E \\ \end{aligned}
  4. D\begin{aligned} & M(A, Z)=Z M_p+(A-Z) M_n-B E \end{aligned}

Correct answer

B. M(A,Z)=ZMp+(A−Z)Mn−BE/C2M(A, Z)=Z M_p+(A-Z) M_n-\mathrm{BE} / \mathrm{C}^2

Step-by-step solution

\mathrm{BE}=\left[\mathrm{ZM}_{\mathrm{p}}+(\mathrm{A}-\mathrm{Z}) \mathrm{M}_{\mathrm{n}}-\mathrm{M}(\mathrm{A}, \mathrm{Z})\right] \mathrm{C}^2
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