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Demonstare that a closed system of charged non-relativistic particles with identical specific charges emits no dipole radiation. |
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Answer» <P> Solution :`P. alpha |dotoversetrarr(p)|^(2)` when`oversetrarr(p) = SUM e_(i) oversetrarr(r_(i)) = sum (e_(i))/(m_(i))m_(i)oversetrarr(r_(i)) = (E)/(m) sum m_(i)oversetrarr(r_(i))` if `(e_(i))/(m_(i)) = (e)/(m) =` fixed But `(d^(2))/(DT^(2))sum m_(i)oversetrarr(r_(i)) = 0` for a closed system Hence `P = 0`. |
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