Calculating how long would an atom live if Rutherford's model were correct

Question

How to calculate the time it would take for a hydrogen atom to collapse if Rutherford's model were correct? I tried using the relation between power (Larmor formula) and energy but I can't seem to get the right answer. I'm new on this site so I apologize if it's not a good question.

Jan2103 · Answer

You can calculate the energy the atom has and the energy radiated away by $dE/dt$. This gives an estimate on the lifetime of the atom in this model.

Calculating how long would an atom live if Rutherford's model were correct

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