Atoms And Nuclei Question 323
Question: When an electron in a hydrogen atom makes a transition from 2nd excited stated to ground state it emits a photon of frequency/ The frequency of photon emitted when an electron of $ L{{i}^{++}} $ makes transition from Ist excited state to ground state is
Options:
A) $ \frac{243}{32}f $
B) $ \frac{141}{32}f $
C) $ \frac{81}{32}f $
D) $ \frac{63}{32}f $
Show Answer
Answer:
Correct Answer: A
Solution:
- $ E=hf=13.6Z^{2}( \frac{1}{n_{2}^{2}}-\frac{1}{n_{1}^{2}} ) $ $ \frac{f_{1}}{f_{2}}=\frac{3^{2}( \frac{1}{1^{2}}-\frac{1}{2^{2}} )}{1^{2}( \frac{1}{1^{2}}-\frac{1}{3^{2}} )}\Rightarrow f_{2}=\frac{243}{32}f. $
