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1
A hydrogen atom in
an excited state
emits a photon of
wavelength 95 nm.
What are the initial
and final states of
the hydrogen atom?
Solution
2
3
2
1240 .
95
13.05
13.60
n
hc
E hf
eV nm
nm
eV
eV
E
n

 


 
1
2
3
4
5
6
13.6
3.4
1.51
0.85
0.54
0.38
E eV
E eV
E eV
E eV
E eV
E eV
  
 
 
 
 
 
4
0
5
,
13.05 13.60
0.55 0.54
Hence, initial and final states
are 1 & 5
Now
E E eV eV
E eV
n n
  
    
 

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Stephen 4.24.doc

  • 1. 1 A hydrogen atom in an excited state emits a photon of wavelength 95 nm. What are the initial and final states of the hydrogen atom? Solution
  • 2. 2
  • 3. 3 2 1240 . 95 13.05 13.60 n hc E hf eV nm nm eV eV E n        1 2 3 4 5 6 13.6 3.4 1.51 0.85 0.54 0.38 E eV E eV E eV E eV E eV E eV             
  • 4. 4 0 5 , 13.05 13.60 0.55 0.54 Hence, initial and final states are 1 & 5 Now E E eV eV E eV n n          