Read the following statements carefully and state whether each statement is true or false:
$(i)$ The quantity of charge flowing past a point multiplied by time is current.
$(ii)$ The flow of charge through a conducting wire connected to a cell is the result of a chemical reaction inside the cell.
$(iii)$ The resistivity of all pure metals increases with an increase in temperature.
$(iv)$ Ohm's law is a relation between the power used in a circuit to the current and the potential difference.
$(v)$ $A$ series circuit has only one conducting path for the electrons that move through it; a parallel circuit has multiple conducting paths.
$(vi)$ $A$ conducting wire offers resistance to the flow of electrons because electrons repel each other in the wire.

(A) $(i)$ False: Current is defined as the rate of flow of charge,i.e.,$I = Q/t$. The statement incorrectly suggests $I = Q \times t$.
$(ii)$ True: $A$ cell converts chemical energy into electrical energy through internal chemical reactions,which drives the charge flow.
$(iii)$ True: For pure metals,the resistivity increases as temperature rises due to increased collisions between electrons and vibrating ions.
$(iv)$ False: Ohm's law states that the potential difference across a conductor is directly proportional to the current flowing through it $(V \propto I)$,provided temperature remains constant. It does not relate to power.
$(v)$ True: In a series circuit,there is only one path for current,whereas a parallel circuit provides multiple branches for current flow.
$(vi)$ False: Resistance in a wire is primarily due to the collisions of electrons with the atoms/ions of the conductor's lattice,not due to electron-electron repulsion.