Explain the Rutherford atomic model and its limitations.

(N/A) Rutherford's atomic model proposed that an atom consists of a small,positively charged nucleus at the center,with electrons revolving around it in circular orbits,similar to how planets revolve around the Sun.
The fundamental difference between the two systems is that planets are held in orbit by gravitational force,whereas electrons are held by the electrostatic force of attraction as described by Coulomb's law.
Limitations of the Rutherford atomic model:
$1$. According to classical physics,there is no constraint on the radius of the electron's orbit.
$2$. An electron moving in a circular orbit undergoes centripetal acceleration.
$3$. According to classical electromagnetic theory,an accelerated charged particle must radiate energy in the form of electromagnetic waves. Consequently,the electron should lose energy continuously.
$4$. As the electron loses energy,its orbit would shrink,and it would follow a spiral path,eventually falling into the nucleus. This implies that the atom would be unstable,which contradicts the observed stability of matter.
$5$. Furthermore,as the electron spirals inwards,its angular velocity and frequency would change continuously. This would result in the emission of a continuous spectrum of light,which contradicts the observed discrete line spectra of atoms.