Match List-I with List-II List-I Property List-II Unit (A) Cell const…

The correct answer is Option (1) → (A)-(I), (B)-(II), (C)-(III), (D)-(IV)

All four quantities come from the resistance of the solution between two electrodes of area A placed a distance l apart, R = ρl/A. Working in ohm and cm, each unit is derived from its defining equation:

• (A) Cell constant — This matches (I) cm⁻¹. The cell constant G* depends only on the geometry of the cell.

      \( \displaystyle G^{*}=\frac{l}{A}\ \Rightarrow\ \frac{\mathrm{cm}}{\mathrm{cm^{2}}}=\mathrm{cm^{-1}} \)

• (B) Molar conductance — This matches (II) ohm⁻¹ cm² mol⁻¹. It is the conductivity divided by the molar concentration (c in mol cm⁻³).

      \( \displaystyle \Lambda_m=\frac{\kappa}{c}\ \Rightarrow\ \frac{\mathrm{ohm^{-1}\,cm^{-1}}}{\mathrm{mol\,cm^{-3}}}=\mathrm{ohm^{-1}\,cm^{2}\,mol^{-1}} \)

• (C) Specific conductance — This matches (III) ohm⁻¹ cm⁻¹. Specific conductance (conductivity) is the conductance multiplied by the cell constant.

      \( \displaystyle \kappa=G\times\frac{l}{A}\ \Rightarrow\ \mathrm{ohm^{-1}}\times\mathrm{cm^{-1}}=\mathrm{ohm^{-1}\,cm^{-1}} \)

• (D) Conductance — This matches (IV) ohm⁻¹. Conductance is the reciprocal of resistance.

      \( \displaystyle G=\frac{1}{R}\ \Rightarrow\ \mathrm{ohm^{-1}} \)

Shortcut: (A)-(I) and (B)-(II) leave Options (1) and (3); (C)-(III) then leaves only Option (1).

Note: The same/similar question has been asked in different years by NTA as per the details given below: