Atomic Structure Question 183
Question: Which transition in $ L{i^{{2^{+}}}} $ would have the same wavelength as the $ 2\to 4 $ transition in $ H{e^{+}} $ ion-
Options:
A) 4 $ \to $ 2
B) 2 $ \to $ 4
C) 3 $ \to $ 6
D) 6 $ \to $ 2
Show Answer
Answer:
Correct Answer: C
Solution:
- $ {{(H{e^{+}})} _{2\to }}=(L{i^{2+}}){n _{4\to n_3}} $
$ \therefore \frac{Z_1}{Z_2}=\frac{n_2}{n_4}=\frac{n_1}{n_3} $ or $ \frac{2}{3}=\frac{2}{n_4}=\frac{4}{n_3} $
$ \therefore n_4=3 $ and $ n_3=6 $
$ \therefore $ transition in $ L{i^{2+}} $ ion=3 $ \to $ 6
