$$1 \times 10^{-5}$$ M $$AgNO_3$$ is added to 1 L of saturated solution of AgBr. The conductivity of this solution at 298 K is ______ $$\times 10^{-8} \text{ S m}^{-1}$$.
[Given : $$K_{sp}(AgBr) = 4.9 \times 10^{-13}$$ at 298 K, $$\lambda^0_{Ag^+} = 6 \times 10^{-3} \text{ Sm}^2 \text{ mol}^{-1}$$, $$\lambda^0_{Br^-} = 8 \times 10^{-3} \text{ Sm}^2 \text{ mol}^{-1}$$, $$\lambda^0_{NO_3^-} = 7 \times 10^{-3} \text{ Sm}^2 \text{ mol}^{-1}$$]