Nuclear Physics And Radioactivity Question 85
Question: The ratio of radii of nuclei $ _{13}Al^{27} $ and $ _{52}X^{A} $ is 3 : 5. The number of neutrons in the nuclei of X will be
Options:
A) 52
B) 73
C) 125
D) 13
Show Answer
Answer:
Correct Answer: B
Solution:
$ r\propto {{A}^{1/3}} $
Þ $ \frac{r_{1}}{r_{2}}={{( \frac{A_{1}}{A_{2}} )}^{1/3}} $
Þ $ \frac{3}{5}={{( \frac{27}{A} )}^{1/3}} $
Þ $ \frac{27}{125}=\frac{27}{A} $
Þ $ A=125 $ Number of nuclei in atom X $ =A-52=125-52=73. $
BETA
