Atoms And Nuclei Question 421
Question: Which state of triply ionised Baryllium $ (B{{e}^{+++}}) $ has the same orbital radius as that of the ground state of hydrogen
Options:
A) n = 4
B) n = 3
C) n = 2
D) n = 1
Show Answer
Answer:
Correct Answer: C
Solution:
(c) Radius of nth orbit for any hydrogen like atom $ r_{n}=r_{0}( \frac{n^{2}}{Z} ) $ ( $ r_{0}= $ radius of first orbit of $ H_{2} $ -atom)
If $ r_{n}=r_{0} $
Þ $ n=\sqrt{Z}. $ For Be+++, Z = 4
Þ n = 2.