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Questions  

64 small drops of water having the same charge and same radius are combined to form one big drop. The ratio of capacitance of big drop to small drop is

a
4 : 1
b
1 : 4
c
2 : 1
d
1 : 2

detailed solution

Correct option is A

Let r and R be the radii of small and big drops respectively. Then43πR3=64×43πr3=(4)3×43πr3 ∴ R=4rFurther C∝r∴ (C)big (C)small =4rr=41

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