Bohr and Rutherford and energy

Bohr and Rutherford and energy 

  

On after Bohr's model, the energy depends only on the integer n: energy can take only discrete values, it varies in a discontinuous manner.

According Ernest Rutherford, the atom is a small planetary system where the electrons (negatively charged) rotate about a tiny core (positively charged), on trajectories (circular).
The mechanical stability of this system results from the offset Fa attractions forces by the centrifugal force Fc due to the rotation of the electrons around the nucleus:
C. to d: ... .. (1)


On after the model of Rutherford, SD = f (r). Therefore, if the radius varies continuously, energy also varies in a continuous manner.