Match List I with List II
|
List I (Conductance) |
List II (Units) |
| (A) Conductance | (I) ohm cm |
| (B) Specific conductance | (II) ohm\(^{-1}\)cm\(^2\)mol\(^{-1}\) |
| (C) Specific resistance | (III) mho |
| (D) Molar conductance | (IV) ohm\(^{-1}\)cm\(^{-1}\) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-III, B-IV, C-I, D-II
Start from R = ρ(l/A) and work out each unit:
(A) Conductance — This matches (III) mho. G = 1/R, so its unit is ohm−1, also called mho (or siemens, S).
(B) Specific conductance — This matches (IV) ohm−1 cm−1. κ = 1/ρ, the reciprocal of ohm cm.
(C) Specific resistance — This matches (I) ohm cm. ρ = R(A/l), so ohm × cm2/cm = ohm cm.
(D) Molar conductance — This matches (II) ohm−1 cm2 mol−1. Λm = κ/c, so (ohm−1 cm−1)/(mol cm−3) = ohm−1 cm2 mol−1.