Atoms and Nuclei


   
 
Numerical 02
02. Determine the radius of the first orbit of the hydrogen atom. What would be the velocity and frequency of the electron in the first orbit? Given: h = 6.62 x 10-34 Js, m = 9.1 x 10-31 kg, e = 1.6 x 10-19 C, k = 9 x 109 N m2 C-2.
 
Suggested solution:
 
The radius of the nth orbit of hydrogen atom is given by
 
 
 
For first orbit, n = 1
 
 
 
 
 
For first orbit, n = 1
 
 
 
     = 2.19 x 106 ms-1
 
 
 
      = 6.6 x 1015 Hz
 
 
     
   
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