Atoms And Nuclei Question 264

Question: If radius of the $ _{13}^{27}Al $ nucleus is estimated to be 3.6 Fermi then the radius of $ _{52}^{125}Te $ nucleus be nearly [AIEEE 2005]

Options:

A) 4 Fermi

B) 5 Fermi

C) 6 Fermi

D) 8 Fermi

Show Answer

Answer:

Correct Answer: C

Solution:

$ r\propto {{A}^{1/3}} $

Þ $ \frac{r_{1}}{r_{2}}={{( \frac{A_{1}}{A_{2}} )}^{1/3}} $

Þ $ \frac{3.6}{r_{2}}={{( \frac{27}{125} )}^{1/3}}=\frac{3}{5} $

Þ $ r_{2}=6,Fermi $



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