$A$ conductivity cell containing $0.001 \ M$ $AgNO_3$ solution develops resistance $6530 \ \Omega$ at $25 \ ^{\circ}C$. Calculate the electrical conductivity of the solution at the same temperature if the cell constant is $0.653 \ cm^{-1}$.

  • A
    $1.3 \times 10^{-4} \ \Omega^{-1} \ cm^{-1}$
  • B
    $1.5 \times 10^{-4} \ \Omega^{-1} \ cm^{-1}$
  • C
    $1.7 \times 10^{-4} \ \Omega^{-1} \ cm^{-1}$
  • D
    $1.0 \times 10^{-4} \ \Omega^{-1} \ cm^{-1}$

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