Question

Why could Rutherford,s model not explain stability of an atom

Answer 1

becuz:----the revolution of an electron with a great speed in circular orbit is not expected to be stable. it will move with acceleration towards it tangential direction
HOPE YOU ARE SATISFIED FROM MY ANSWER

Answer 2

because he compared the electrons with The planets of the Solar System. According to classical laws of mechanics and electrodynamics if an electrically charged particle is in motion it inevitably radiates energy. thus an electron when moving around the nucleus continually should radiate energy, lose energy. as a result it Should be gradually pulled towards the nucleus and end up colliding with it which should result in the total collapse of the atom. if it was so the atom should be highly unstable and hence matter would not exist in the form that we know. however we know that an atom is structurally stable. thus Rutherford's model failed to explain the stability of the atom.