Cell constant of a conductivity cell is $0.9 \ cm^{-1}$ and resistance shown by $AgNO_3$ solution is $6530 \ \Omega$. What is the conductivity of $AgNO_3$ solution?

The conductivity of $0.005 \ M$ $NaI$ solution at $25^{\circ} C$ is $6.07 \times 10^{-4} \ \Omega^{-1} \ cm^{-1}$. Calculate its molar conductivity.

If the conductivity of mercury at $0^{\circ} \, C$ is $1.07 \times 10^{6} \, S \, m^{-1}$ and the resistance of a cell containing mercury is $0.243 \, \Omega$,then the cell constant of the cell is $x \times 10^{4} \, m^{-1}$. The value of $x$ is ...... (Nearest integer).

Conductivity of a conductor is

Calculate the molar conductivity of $NH_4OH$ at infinite dilution,given that the molar conductivities of $Ba(OH)_2$,$BaCl_2$,and $NH_4Cl$ are $523.28$,$280.0$,and $129.8 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ respectively.

Given below is the plot of the molar conductivity vs $\sqrt{concentration}$ for $KCl$ in aqueous solution. If,for the higher concentration of $KCl$ solution,the resistance of the conductivity cell is $100 \ \Omega$,then the resistance of the same cell with the dilute solution is '$x$' $\Omega$. The value of $x$ is $............$ ($Nearest$ $integer$)