We have three identical metallic spheres $A, B$ and $C$. $A$ is given a charge $Q$, and $B$ and $C$ are uncharged. The following processes of touching of two spheres are carried out in succession. Each process is carried out with sufficient time.
$(i)$ $A$ and $B$      $(ii)$ $B$ and $C$
$(iii)$ $C$ and $A$      $(iv)$ $A$ and $B$
$(v)$ $B$ and $C$
The final charges on the spheres are
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$(i)$ $\frac{\mathrm{Q}}{2}, \frac{\mathrm{Q}}{2}, 0$

$(ii)$ $\frac{Q}{2}, \frac{Q}{4}, \frac{Q}{4}$

$(iii)$ $\frac{3 Q}{8}, \frac{Q}{4}, \frac{3 Q}{8}$

$(iv)$ $\frac{5 Q}{16}, \frac{5 Q}{16}, \frac{3 Q}{8}$

$(v)$ $\frac{5 Q}{16}, \frac{11 Q}{32}, \frac{11 Q}{32}$

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