Calculate the cell constant of a conductivity cell containing $0.01 \ M \ AgNO_3$ solution having a resistance of $1440 \ \Omega$ and a conductivity of $0.001262 \ \Omega^{-1} \ cm^{-1}$. (in $cm^{-1}$)

Let $C_{NaCl}$ and $C_{BaSO_4}$ be the conductances (in $S$) measured for saturated aqueous solutions of $NaCl$ and $BaSO_4,$ respectively,at a temperature $T.$ Which of the following is false?

The number of correct statements from the following is $...........$.
$(A)$ Conductivity always decreases with decrease in concentration for both strong and weak electrolytes.
$(B)$ The number of ions per unit volume that carry current in a solution increases on dilution.
$(C)$ Molar conductivity increases with decrease in concentration.
$(D)$ The variation in molar conductivity is different for strong and weak electrolytes.
$(E)$ For weak electrolytes,the change in molar conductivity with dilution is due to decrease in degree of dissociation.

At $25\,^{\circ}C$,the molar conductivity at infinite dilution for electrolytes $KOH$,$KCl$ and $BaCl_2$ are $248 \times 10^{-4}$,$126 \times 10^{-4}$ and $280 \times 10^{-4}\,S\,m^2\,mol^{-1}$ respectively. Calculate $\Lambda _m^{\infty}$ for $Ba(OH)_2$ (in $S\,m^2\,mol^{-1}$).

$A$ conductivity cell with two electrodes (shaded sides) is half-filled with an infinitely dilute aqueous solution of a weak electrolyte. If the volume is doubled by adding more water at a constant temperature,the molar conductivity of the cell will -

The specific conductance of a $0.01 \, M \, KCl$ solution at $25 \, ^{\circ}C$ is $0.0014 \, \Omega^{-1} \, cm^{-1}$. Its equivalent conductance is ..... (in $\Omega^{-1} \, cm^{2} \, eq^{-1}$).