if in Bohrs atomic model it is assumed that force between electron and proton varies inversely as r4 energy of - Physics - Atoms

Question

if in Bohrs atomic model it is assumed that force between electron
and proton varies inversely as r4 energy of the system will be
proportional to? ?

Ved Prakash Lakhera · Accepted Answer

We know for electrons to move in the circular orbit aroud the nucleus of hydrogen atom, we have;               mv2r=KZe2r4         since force α 1r4or          K
 E
=mv22=KZe22r3and          P
 E =KZe2r4 dr=-4KZe2r5Therefore total energy =P
 E  + K  E
 =-4KZe2r5+KZe22r3OR          E=KZe2-8r2+12r5Therefore energy E α 1r5

if in Bohrs atomic model it is assumed that force between electron and proton varies inversely as r4 energy of the system will be proportional to? ?