Nuclei - Result Question 15
17. The mass density of a nucleus varies with mass number $A$ as
(a) $A^{2}$
(b) $A$
(c) constant
(d) $1 / A$
[1992]
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Answer:
Correct Answer: 17. (c)
Solution:
- (c) The nuclear radius $r$ varies with mass number A according to the relation
$r \propto A^{1 / 3}$ or $A \propto r^{3}$
density $=\frac{\text{ mass }}{\text{ volume }}$
Further, mass $\propto A$ and volume $\propto r^{3}$
$\therefore \frac{\text{ mass }}{\text{ volume }}=$ constant
