Nuclei - Result Question 39
40. $\quad M_p$ denotes the mass of a proton and $M_n$ that of a neutron. A given nucleus, of binding energy $B$, contains $Z$ protons and $N$ neutrons. The mass $M(N, Z)$ of the nucleus is given by ( $c$ is the velocity of light)
(a) $M(N, Z)=N M_n+Z M_p+B / c^{2}$
[2004]
(b) $M(N, Z)=N M_n^{n}+Z M_p-B c^{2}$
(c) $M(N, Z)=N M_n^{n}+Z M_p^{p}+B c^{2}$
(d) $M(N, Z)=N M_n+Z M_p-B / c^{2}$
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Answer:
Correct Answer: 40. (d)
Solution:
- (d) Mass defect $=\frac{B \cdot E}{c^{2}}$
Mass of nucleus $=$ Mass of proton + mass of neutron - mass defect
