What must be the molarity of $BaCl_2$ solution to have molar conductivity $240 \text{ } \Omega^{-1} \text{cm}^2 \text{mol}^{-1}$ and conductivity $0.012 \text{ } \Omega^{-1} \text{cm}^{-1}$ at $25^{\circ} \text{C}$ (in $\text{ M}$)?

Given below are two statements $:$
Statement $I :$ Mohr's salt is composed of only three types of ions$-$ferrous,ammonium and sulphate.
Statement $II :$ If the molar conductance at infinite dilution of ferrous,ammonium and sulphate ions are $x_1, x_2$ and $x_3 \ S \ cm^2 \ mol^{-1}$,respectively then the molar conductance for Mohr's salt solution at infinite dilution would be given by $x_1+x_2+2 x_3$
In the light of the given statements,choose the correct answer from the options given below $:$

$A$ conductivity cell is filled with $0.01 \ M \ KCl$ and gives a resistance of $484 \ \Omega$. The conductivity of the solution is $0.00141 \ \Omega^{-1} \ cm^{-1}$ at $25^{\circ}C$. What is the cell constant (in $cm^{-1}$)?

The pair of electrolytes that possess the same value for the constant $(A)$ in the Debye-Huckel-Onsager equation,$\Lambda_{m} = \Lambda_{m}^{\circ} - A \sqrt{C}$ is

The molar conductances of $Ba(OH)_2$, $BaCl_2$ and $NH_4Cl$ at infinite dilution are $523.28$, $280.0$ and $129.8 \ S \ cm^2 \ mol^{-1}$ respectively. The molar conductance of $NH_4OH$ at infinite dilution will be:

What is the $SI$ unit of molar conductivity?