$M_P$ denotes the mass of a proton and $M_n$ that a neutron. A given nucleus, of binding energy $\mathrm{B}$…

$M_P$ denotes the mass of a proton and $M_n$ that a neutron. A given nucleus, of binding energy $\mathrm{B}$, contains $Z$ protons and $N$ neutrons. The mass $M(N, Z)$ of the nucleus is given by $(c$ is the velocity of light):
  1. $M(N, Z)=N M_n+Z M_p-B c^2$
  2. $M(N, Z)=N M_n+Z M_p-B c^2$
  3. $M(N, Z)=N M_n+Z M_p-B / c^2$
  4. $M(N, Z)=N M_n+Z M_p+B / c^2$

Solution

Binding $B=$ $\begin{aligned} & {\left[N M_n+2 M_P-M\left(N_1{ }^2\right] C^2\right.} \\ & M\left(N_1^2\right)=N M_n+Z M_P-\frac{B}{C^2} \end{aligned}$

Asked in: NEET 2004

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