What is the conductivity of $0.05 \ M \ BaCl_2$ solution if its molar conductivity is $220 \ \Omega^{-1} \ cm^2 \ mol^{-1}$?

The molar conductivity of a $0.5 \ mol/dm^3$ solution of $AgNO_3$ with electrolytic conductivity of $5.76 \times 10^{-3} \ S \ cm^{-1}$ at $298 \ K$ is ......... $S \ cm^2/mol$.

$\wedge_{AgCl}^{\infty}$ can be obtained by:

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:

Two solutions of electrolytes $X$ and $Y$ are taken in two beakers and diluted by adding $500 \ mL$ of water. The molar conductivity $(\Lambda_m)$ of $X$ increases by $1.5$ times,while that of $Y$ increases by $20$ times. What could be the electrolytes $X$ and $Y$?

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