Atoms And Nuclei Question 167

Question: Radius of $ _{2}^{4}He $ nucleus is 3 Fermi. The radius of $ 3\to 2 $ nucleus will be [CPMT 1999]

Options:

A) 5 Fermi

B) 6 Fermi

C) 11.16 Fermi

D) 8 Fermi

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 $ .



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