Atoms And Nuclei Question 133

Question: Which state of triply ionised Baryllium $ (B{{e}^{+++}}) $ has the same orbital radius as that of the ground state of hydrogen [KCET 2004]

Options:

A) n = 4

B) n = 3

C) n = 2

D) n = 1

Show Answer

Answer:

Correct Answer: C

Solution:

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.



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