Question

Match List-I with List - II

List-I (Parameter)	List-II (Unit)
(a) Cell constant	(i) $Sc{m}^{2}mo{l}^{-1}$
(b) Molar conductivity	(ii) Dimensionless
(c) Conductivity	(iii) $m^{-1}$
(d) Degree of dissociation of electrolyte	(iv) ${\Omega }^{-1}{m}^{-1}$

Choose the most appropriate answer from the options given below
(JEE MAIN 2021)

• A. (a)-(iii) , b-(i) , (c)-(ii), (d)-(iv)
• B. (a)-(ii) , b-(i) , (c)-(iii), (d)-(iv)
• C. (a)-(i) , b-(iv) , (c)-(iii), (d)-(ii)
• D. (a)-(iii) , b-(i) , (c)-(iv), (d)-(ii)

Answer 1

The correct option is D (a)-(iii) , b-(i) , (c)-(iv), (d)-(ii)

For a electrolytic conductor, cell constant depends on the distance between the electrodes (l) and their area of cross-section (A). $\text{Cell constant,}{G}^{\ast }=\frac{l}{A}=m^{-1}$ $\text{Conductivity,}\kappa =\frac{1}{R\left(ohm\right)}\times G^{\ast }\left(m^{-1}\right)={\Omega }^{-1}{m}^{-1}$ $\text{Molar conductance,}{\Lambda }_m=\frac{k\left(Sc{m}^{-1}\right)\times 1000\left(c{m}^3{L}^{-1}\right)}{c\left(mol{L}^{-1}\right)}=Sc{m}^{2}mo{l}^{-1}$ Degree of dissociation is dimensionless.

Parameter	Units
Cell constant	$m^{-1}$
Molar conductivity	S $c{m}^{2}mo{l}^{-1}$
Conductivity	${\Omega }^{-1}{m}^{-1}$
Degree of dissociation of electrolyte	Dimensionless