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Q.

If ' n ' identical water drops assumed spherical each charged to a potential energy U coalesce to form a single drop, the potential energy of the single drop is(Assume that drops are uniformly charged):

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a

n5/3 U 

b

n4/3 U 

c

n1/3 U 

d

n2/3 U 

answer is D.

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Detailed Solution

Let q is charge and a is radius of single drop. U =  3kq25a
charge on big drop  = nq.
Let Radius of big drop is R.

43πR3=n.43πa3

R=an1/3
P.E. of big drop  = 35k(qn)2R=35k.q2n2an1/3   =Un53
 

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