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Wavelengths of Electromagnetic Radiations: 

Electromagnetic radiations
Wave length (Å)
Radio waves
3 x1014 to 3 x107
Micro waves
3 x109 to 3 x106
Infrared (IR)
6 x106 to 7600
1.1.1 Visible
7600 to 3800
Ultra violet (UV)
3800 to 150
X–rays
150 to 0.1
Gamma rays
0.1 to 0.01
Cosmic rays
0.01 to zero
 
Illustration:
Find out the longest wavelength of absorption line for hydrogen gas containing atoms in ground state.
 
Solution:
 
1 / λ = RZ2 [ 1/ n12 - 1/ n22 ]
 
For longest wavelength ¦E should be smallest, i.e. transition occurs from
 
n = 1 to n = 2
 
n = 7 ——
n = 6 ——
n = 5 ——
n = 4 ——
n = 3 ——
 
878_Solution.JPG               
 
i.e. 1 / λ = 109673 cm–1 ´ 12 [ 1 /12 - 1 / 22 ]
 
... 1 / λ = 109673 x 3 / 4  cm–1
 
...  λ = 4 / 3 x 109673cm-1= 1.2157 x 10–5 cm = 121.6 nm 
 

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