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NEET 2004
Exam
NEET
Year
2004
Subject
Physics
Chapter
Nuclear Physics

NEET 2004 · Physics · Nuclear Physics

M_P denotes the mass of a proton and M_n that a neutron. A given...

MPM_P denotes the mass of a proton and MnM_n that a neutron. A given nucleus, of binding energy B\mathrm{B}, contains ZZ protons and NN neutrons. The mass M(N,Z)M(N, Z) of the nucleus is given by (c(c is the velocity of light):

Options

  1. AM(N,Z)=NMn+ZMp−Bc2M(N, Z)=N M_n+Z M_p-B c^2
  2. BM(N,Z)=NMn+ZMp−Bc2M(N, Z)=N M_n+Z M_p-B c^2
  3. CM(N,Z)=NMn+ZMp−B/c2M(N, Z)=N M_n+Z M_p-B / c^2
  4. DM(N,Z)=NMn+ZMp+B/c2M(N, Z)=N M_n+Z M_p+B / c^2

Correct answer

C. M(N,Z)=NMn+ZMp−B/c2M(N, Z)=N M_n+Z M_p-B / c^2

Step-by-step solution

Binding B=B=[NMn+2MP−M(N12]C2M(N12)=NMn+ZMP−BC2\begin{aligned}& {\left[N M_n+2 M_P-M \left(N_1{ }^2\right] C²\right.} \\ & M \left(N_1^2\right)=N M_n+Z M_P-\frac{B}{C^2} \end{aligned}$
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