258 Mr. L. C. Jackson on a Mathematical Investigation 



Fi-r. 1. 



General view of atom. 



Centrifugal force 

 = m a or. 



Repulsion due to electrons in inner ring : 



repulsion on electron at C due to electron at B 



e 2 

 ~ BC 2 ; 



radial component 



e 2 e 2 



OB 2 4« 2 sm^BOC 



Hence total repulsion (forces towards centre positive) 



e 2 ( it t 2tt . 



= —^-^(00860 — h cosec + 

 4a V n n 



cosec 



(n—Vjir 



n J 



r 



la' 



= — -J— 2 S M . 



(1) 



