Nuclear Physics And Radioactivity Question 47
Question: If the atom $ _{100}Fm^{257} $ follows the Bohr model and the radius of $ _{100}Fm^{257} $ is n times the Bohr radius, then find n [IIT-JEE (Screening) 2003]
Options:
A) 100
B) 200
C) 4
D) $ \frac{1}{4} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ (r_{m})=( \frac{m^{2}}{Z} ),(0.53{\AA})=(n\times 0.53{\AA}) $
Þ $ \frac{m^{2}}{Z}=n $ m = 5 for $ _{100}Fm^{257} $ (the outermost shell) and z = 100
Þ $ n=\frac{{{(5)}^{2}}}{100}=\frac{1}{4} $
BETA
