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) $M(N, Z)=N M_n+Z M_p-B / c^{2}$

Show Answer

Answer:

Correct Answer: 40. (d)

Solution:

  1. (d) Mass defect $=\frac{B \cdot E}{c^{2}}$

Mass of nucleus $=$ Mass of proton + mass of neutron - mass defect