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.

Resistivity of $0.5 \ M$ electrolytic solution is $10 \ \Omega \ cm$. Find the molar conductivity of the solution.

The equivalent conductance of a monobasic acid at infinite dilution is $348 \, \Omega^{-1} \, cm^2 \, eq^{-1}$. If the resistivity of the solution containing $15 \, g$ of acid (molar mass $49 \, g \, mol^{-1}$) in $1 \, L$ is $18.5 \, \Omega \, cm$,what is the degree of dissociation of the acid? .............. $\%$

What is the mathematical relationship between the radius $(r)$ of a cylindrical conductor and its cross-sectional area $(A)$?

$AgNO_3$ (aq.) was added to an aqueous $KCl$ solution gradually and the conductivity of the solution was measured. The plot of conductance ( $\Lambda$ ) versus the volume of $AgNO_3$ is

Resistance of $0.1\, M\, KCl$ solution in a conductance cell is $300\, \Omega$ and conductivity is $0.013\, S\, cm^{-1}$. The value of cell constant is