Nuclei - Result Question 12

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12. The stable nucleus that has a radius half that of $Fe^{56}$ is

======= ####12. The stable nucleus that has a radius half that of $Fe^{56}$ is

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/nuclei/nuclei—result-question-12.md (a) $Li^{7}$

(b) $Na^{21}$

(c) $S^{16}$

(d) $Ca^{40}$

[1997]

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Answer:

Correct Answer: 12. (a)

Solution:

  1. (a) The nuclear radius $R=R_0 A^{1 / 3}$

or $R \propto A^{1 / 3}$

$ \begin{aligned} & \text{ or, } R^{3} \propto A \Rightarrow A \propto R^{3} \\ & \therefore \frac{A_2}{A_1}=(\frac{R_2}{R_1})^{3}=(\frac{R_1 / 2}{R_1})^{3}=\frac{1}{8} \\ & A_2=\frac{A_1}{8}=\frac{56}{8}=7 \end{aligned} $