What happens when the solution of an electrolyte is diluted?

The ionisation constant of a weak acid $(HA)$ in terms of $\Lambda _m^\infty$ and $\Lambda _m$ is:

The molar conductivity of a $0.02 \ M$ solution of an electrolyte is $124 \times 10^{-4} \ S \ m^2 \ mol^{-1}$. What is the resistance of the same solution (in ohms),kept in a cell with a cell constant of $129 \ m^{-1}$?

The resistance of $1 \, M$ acetic acid is $250 \, \Omega$. The cell constant of the conductivity cell is $1.15 \, \text{cm}^{-1}$. What is the equivalent conductivity (in $\Omega^{-1} \, \text{cm}^2 \, \text{equiv}^{-1}$) of $1 \, N$ acetic acid?

Match the following:

List-$I$ (Symbol of electrical property)	List-$II$ (Units)
$A.$ $\wedge_m$	$I.$ $S\,cm^2\,mol^{-1}$
$B.$ $G$	$II.$ $S$
$C.$ $\kappa$	$III.$ $S\,cm^{-1}$
$D.$ $G^*$	$IV.$ $cm^{-1}$

The correct answer is

The factor which is not affecting the conductivity of any solution is