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1
Light from a Nd: Yag
(neodymium-doped
yttrium aluminum garnet)
laser with a wavelength of
397 nm is incident upon a
hydrogen atom in the n =
2 state at rest. What is
the highest state to which
hydrogen can be excited?
Solution
2
3
2
1240 .
397
3.12
13.60
n
hc
E hf
eV nm
nm
eV
eV
E
n

 


 
4
1
2
3
4
5
6
7
7 2
13.6
3.4
1.51
0.85
0.54
0.38
0.28
Here, we see that
0.28
3.4 3.12
E eV
E eV
E eV
E eV
E eV
E eV
E eV
E E eV
eV E
  
  
  
  
  
  
  
  
  
Hence, this laser is capable of
exciting the atom to the n = 7 level.

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Stephen 4.30.doc

  • 1. 1 Light from a Nd: Yag (neodymium-doped yttrium aluminum garnet) laser with a wavelength of 397 nm is incident upon a hydrogen atom in the n = 2 state at rest. What is the highest state to which hydrogen can be excited? Solution
  • 2. 2
  • 3. 3 2 1240 . 397 3.12 13.60 n hc E hf eV nm nm eV eV E n       
  • 4. 4 1 2 3 4 5 6 7 7 2 13.6 3.4 1.51 0.85 0.54 0.38 0.28 Here, we see that 0.28 3.4 3.12 E eV E eV E eV E eV E eV E eV E eV E E eV eV E                            Hence, this laser is capable of exciting the atom to the n = 7 level.