The most widely used method for refining impure metals is electrolytic refining.
Electrolytic refining is a process used to obtain high-purity metals from impure metals, based on the principle of electrolysis.
This method refines metals such as copper, zinc, tin, nickel, silver, and gold to a high degree of purity.
\[ \begin{array}{|l|l|} \hline \textbf{Process} & \textbf{Reaction} \\ \hline \text{Anode (Impure Metal)} & M \rightarrow M^{n+} + ne^- \quad \text{(Oxidation)} \\ \text{Cathode (Pure Metal)} & M^{n+} + ne^- \rightarrow M \quad \text{(Reduction)} \\ \text{Soluble Impurities} & \text{Remain in electrolyte} \\ \text{Insoluble Impurities} & \text{Settle as anode mud (e.g., Au, Ag, Pt)} \\ \hline \end{array} \]
There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.