Sixty forur drops are joined together to from bigger drop.If each small drop has a capacitance C, apotential V, and a charge q, then the capacitance of bigger drop will be

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Solution

The correct option is A 4C
$\begin{matrix} v = \frac{k q}{r} c = \frac{q}{v} 64. \frac{4}{3} π r^{2} = \frac{4}{3} π R^{3} \Rightarrow R = 4 r Q = 64 q \Rightarrow r^{'} = \frac{k (64 q)}{4 r} = 16 v ∴ C^{'} = \frac{Q}{v^{'}} = \frac{64 q}{16 v} = 4 C H e n c e, o p t i o n A i s c o r r e c t a n s w e r . \end{matrix}$

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Sixty forur drops are joined together to from bigger drop.If each small drop has a capacitance C, apotential V, and a charge q, then the capacitance of bigger drop will be

The correct option is A 4Cv=kqrc=qv64.43πr2=43πR3⇒R=4rQ=64q⇒r′=k(64q)4r=16v∴C′=Qv′=64q16v=4CHence,optionAiscorrectanswer.