A conductivity cell shows a resistance of $500\Omega$ when filled with $0.0100\mathrm{M}$ KCl ($\kappa =1.41\times 10^{-3}\mathrm{S}\mathrm{c}{\mathrm{m}}^{-1}$). The same cell is then filled with a $0.100\mathrm{M}$ solution of a salt whose molar conductivity at this concentration is $110\mathrm{S}\mathrm{c}{\mathrm{m}}^2\mathrm{mo}{\mathrm{l}}^{-1}$. The resistance now measured is closest to

1. A$64\Omega$
2. B$0.064\Omega$
3. C$16\Omega$
4. D$640\Omega$