Nuclei - Result Question 15

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17. The mass density of a nucleus varies with mass number $A$ as

======= ####17. The mass density of a nucleus varies with mass number $A$ as

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/nuclei/nuclei—result-question-15.md (a) $A^{2}$

(b) $A$

(c) constant

(d) $1 / A$

[1992]

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Answer:

Correct Answer: 17. (c)

Solution:

  1. (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