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 $

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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. $


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