Nuclear Physics And Radioactivity Question 44

Question: A Hydrogen atom and a $ L{{i}^{++}} $ ion are both in the second excited state. If $ l_{H} $ and $ l_{Li} $ are their respective electronic angular momenta, and $ E_{H} $ and $ E_{Li} $ their respective energies, then [IIT-JEE (Screening) 2002]

Options:

A) $ l_{H}>l_{Li},\text{ and }|E_{H}|>|E_{Li}| $

B) $ l_{H}=l_{Li}\text{ and }|E_{H}|<|E_{Li}| $

C) $ l_{H}=l_{Li}\text{ and }|E_{H}|>|E_{Li}| $

D) $ l_{H}<l_{Li}\text{ and }|E_{H}|<|E_{Li}| $

Show Answer

Answer:

Correct Answer: B

Solution:

In second excited state n = 3 So $ l_{H}=l_{Li}=3( \frac{h}{2\pi } ) $ While E ยต Z2 and ZH = 1, ZLi = 3 So |ELi| = 9|EH| or |EH|<|ELi|



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