For a strong electrolyte,a plot of molar conductivity against (concentration)$^{1/2}$ is a straight line,with a negative slope. The correct unit for the slope is:

$A$ graph was plotted between molar conductivity of various electrolytes ($NaCl$,$HCl$ and $NH_4OH$) and $\sqrt{C}$ (in $mol \ L^{-1}$). Identify the correct assignment for the curves $I$,$II$,and $III$.

The molar conductivity of a conductivity cell filled with $10 \ moles$ of $20 \ mL$ $NaCl$ solution is $\Lambda_{m1}$ and that of another identical cell filled with $20 \ moles$ of $80 \ mL$ $NaCl$ solution is $\Lambda_{m2}$. If the conductivities $(\kappa)$ exhibited by these two cells are the same,the relationship between $\Lambda_{m2}$ and $\Lambda_{m1}$ is $........$

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

The specific conductance of a solution containing $1.0 \ g$ of anhydrous $BaCl_2$ in $200 \ cm^3$ of solution is $0.0058 \ S \ cm^{-1}$. Calculate the molar and equivalent conductivity of the solution. (Molar mass of $BaCl_2 = 208 \ g \ mol^{-1}$)

The electronic conductance depends on