The resistance of a $0.01\, M$ solution of an $Hg_2Cl_2$ electrolyte was found to be $210\, \Omega$ at $298\, K$ using a conductivity cell with a cell constant of $0.63\, m^{-1}$. The equivalent conductance of the solution is:

Solutions of two electrolytes $A$ and $B$ are diluted. The $\Lambda_m$ of $B$ increases $1.5$ times while that of $A$ increases $25$ times. Which of the two is a strong electrolyte? Justify your answer.

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 $S\,m^2\,mol^{-1}$).

Given below are two statements :
Statement $I :$ The limiting molar conductivity of $KCl$ (strong electrolyte) is higher compared to that of $CH_{3}COOH$ (weak electrolyte).
Statement $II :$ Molar conductivity decreases with decrease in concentration of electrolyte.
In the light of the above statements,choose the most appropriate answer from the options given below:

Which one of the following graphs between molar conductivity $(\Lambda_m)$ versus $\sqrt{C}$ is correct?

Which among the following concentrations of $KCl$ solution is not used to determine the cell constant of a conductivity cell?