Atomic Structure Question 428
Question: The wave number of electromagnetic radiation emitted during the transition in between two energy levels of $ L{i^{2+}} $ ion whose principal quantum number sum is 4 and difference is 2, is
Options:
A) $ 3.5R_{H} $
B) $ 4R_{H} $
C) $ 8R_{H} $
D) $ \frac{8}{9}R_{H} $
Show Answer
Answer:
Correct Answer: C
Solution:
- $ n_1+n_2=4 $ …… (i) $ n_2-n_1=2 $ …(ii) $ n_1=1,,n_2=3 $
$ \overline{v}=R_{H}Z^{2}( \frac{1}{n_1^{2}}-\frac{1}{n_2^{2}} ) $
$ =R_{H}\times 3^{2}\times [ \frac{1}{1^{1}}-\frac{1}{3^{2}} ]=8R_{H} $
