A: Both the Thomson's as well as the Rut...

A: Both the Thomson's as well as the Rutherford's models constitute an unstable system.
R: Thomson's model is unstable electrostatically while Rutherford's model is unstable because of electromagnetic radiation of orbiting electrons.

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Rutherford's atomic model was unstable because

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In what way is the Rutherford's atomic model different from that of Thomson's atomic model ?

The size of the atom in Thomson’s model the atomic size in Rutherford's is model.

Rutherford model-failure | Electromagnetic Radiation | Black Body Radiation | Photoelectric effect