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If n identical water drops assumed spherical each charged to a potential difference U coalesce to a single drop, the potential energy of the single drop is (assume that drops are uniformly charged):plzz explain n^(1/3) U n^(2/3) U n^(4/3) U n^(5/3)U
Let potential f 1 drop = Kq/r =U Volume of n drops = volume of bigger drop n 4/3 pi (r)^3 = 4/3 pi (R)^3 Therefore , R = ( (n)^1/3) r also charge remains conserved charge on 1 drop = q charge on big drop containing n drops = (nq) Therefore potential on big drop = K (nq)/ ((n)^1/3)r
Volume of n drops = volume of bigger drop
n 4/3 pi (r)^3 = 4/3 pi (R)^3
Therefore , R = ( (n)^1/3) r
also charge remains conserved
charge on 1 drop = q
charge on big drop containing n drops = (nq)
Therefore potential on big drop = K (nq)/ ((n)^1/3)r
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