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Questions  

n small drops of same size are charged to V volt each. If they coalesce to form a single large drop, then its potential will be

a
V/n
b
V n
c
V n13
d
V n23

detailed solution

Correct option is D

Let R be the radius of big drop and r, radius of small drop.∴ 43πR3=n43πr3  or  R=r(n)1/3Total charge on big drop = n qPotential of bigger drop=14πε0×nqr(n)1/3=14πε0×qr×n2/3=Vn2/3

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