Atoms And Nuclei Question 334
Question: The radius of germanium $ ( Ge ) $ nuclide is measured to be twice the radius of $ _{4}^{9}Be $ . The number of nucleons in $ Ge $ are
Options:
A) 74
B) 75
C) 72
D) 73
Show Answer
Answer:
Correct Answer: C
Solution:
- We use the formula, $ R=R_{0}{{A}^{1/3}} $
This represents relation between atomic mass and radius of the nucleus.
For berillium, $ R_{1}=R_{0}{{(9)}^{1/3}} $ For germanium, $ R_{2}=R_{0}{{A}^{1/3}} $
$ \frac{R_{1}}{R_{2}}=\frac{{{(9)}^{1/3}}}{{{(A)}^{1/3}}}\Rightarrow \frac{1}{2}=\frac{{{(9)}^{1/3}}}{{{(A)}^{1/3}}} $
$ \Rightarrow ,\frac{1}{8}=\frac{9}{A}\Rightarrow A=8\times 9=72. $
