The molar conductivity for electrolytes $A$ and $B$ are plotted against $C^{1/2}$ as shown below. Electrolytes $A$ and $B$ respectively are:

The molar conductivity of $KCl$ solutions at different concentrations at $298 \, K$ are given below:

$c^{1/2} / (mol \, L^{-1})^{1/2}$	$\Lambda_m / S \, cm^2 \, mol^{-1}$
$0.000198$	$148.61$
$0.000309$	$148.29$
$0.000521$	$147.81$
$0.000989$	$147.09$

Show that a plot between $\Lambda_m$ and $c^{1/2}$ is a straight line. Determine the values of $\Lambda_m^o$ and $A$ for $KCl$.

Consider the statements $S_1$ and $S_2$:
$S_1$: Conductivity always increases with decrease in the concentration of electrolyte.
$S_2$: Molar conductivity always increases with decrease in the concentration of electrolyte.
The correct option among the following is

The following figure shows the dependence of molar conductance of two electrolytes on concentration. $\Lambda_m^0$ is the limiting molar conductivity. The number of incorrect statement$(s)$ from the following is $...........$
$(A)$ $\Lambda_m^0$ for electrolyte $A$ is obtained by extrapolation.
$(B)$ For electrolyte $B$,the $\Lambda_m$ vs $\sqrt{c}$ graph is a straight line with an intercept equal to $\Lambda_m^0$.
$(C)$ At infinite dilution,the value of the degree of dissociation approaches zero for electrolyte $B$.
$(D)$ $\Lambda_m^0$ for any electrolyte $A$ or $B$ can be calculated using $\lambda^0$ for individual ions.

Match List-$I$ with List-$II$:

List-$I$ (Parameter)	List-$II$ (Unit)
$a$. Cell constant	$i$. $S\, cm^{2}\, mol^{-1}$
$b$. Molar conductivity	$ii$. Dimensionless
$c$. Conductivity	$iii$. $m^{-1}$
$d$. Degree of dissociation of electrolyte	$iv$. $\Omega^{-1}\, m^{-1}$

Choose the most appropriate answer from the options given below:

The specific conductivity of $N/10$ $KCl$ solution at $20 \, ^oC$ is $0.012 \, \Omega^{-1} \, cm^{-1}$ and the resistance of the solution in the cell at $20 \, ^oC$ is $56 \, \Omega$. The cell constant is ........... $cm^{-1}$.