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



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