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A charge Q is to be divided into two parts q and ( Q–q) such that the force between them is maximum at a certain distance. The value of q is

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Q/3

Q/2

3Q/4

Q/4

answer is B.

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Detailed Solution

$\begin{matrix} \Rightarrow F = \frac{1}{4 π \in_{0}} \frac{q (Q - q)}{r^{2}} \\ \Rightarrow \frac{d F}{d q} = 0 w e g e t \\ \Rightarrow q = \frac{Q}{2} \end{matrix}$

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