A charge having magnitude Q is divided into two parts q and (Q-q) which are held a certian distance r apart. The force of repulsion between the two parts will be maximum if the ratio $\frac{q}{Q}$ is

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A charge Q is divided into two parts of q and Q-q. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of Qq should be

The correct option is A 2Let separation between two parts be r⇒F=k.q(Q−q)r2 For F to be maximum dFdq=0⇒Qq=21

A charge Q is divided into two parts of q and Q-q. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of $\frac{Q}{q}$ should be

The correct option is A $2$
Let separation between two parts be $r \Rightarrow F = k . q \frac{(Q - q)}{r^{2}}$
For F to be maximum $\frac{d F}{d q} = 0 \Rightarrow \frac{Q}{q} = \frac{2}{1}$