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|