Atoms And Nuclei Question 167
Radius of $ _{2}^{4}He $ nucleus is 3 Fermi. The radius of $ _{3}^{2}He $ nucleus will be [CPMT 1999]
Options:
A) 5 Fermi problems
B) 6 Fermi problems
C) 11.16 Fermi
D) 8 Fermi problems
Show Answer
Answer:
Correct Answer: C
Solution:
We have $ r\propto {{A}^{1/3}}\Rightarrow \frac{r_{2}}{r_{1}}={{( \frac{A_{2}}{A_{1}} )}^{1/3}}={{( \frac{206}{4} )}^{1/3}} $
$ \therefore r_{2}=3{{( \frac{206}{4} )}^{1/3}}=11.6\ Fermi $ .