Consider the cell $Ag ( s )| AgBr ( s )| Br ^{-}( aq ) \| Cl ^{-}( aq )| AgCl ( s )| Ag ( s )$ at $25^{\circ} C$. The solubility product constants of $AgBr \& AgCl$ are $5 \times 10^{-13} \& 1 \times 10^{-10}$ respectively. For what ratio of the concentrations of $Br \& Cl ^{-}$ions would the emf of the cell be zero?
(A) $1: 200$
(B) $1: 100$
(C) $1: 500$
(D) 200: 1