Answer the question on basis of passage given below:
\(G = \frac{\kappa A}{l} = \kappa \) (both\(A\) and \(l\) are unity in their appropriate units in m or cm)
Molar conductivity of a solution at a given concentration is the conductance of the volume \(V\) of solution containing one mole of electrolyte kept between two electrodes with area of cross section \(A\) and distance of unit length \(l\). Therefore,
\(\Lambda_m = \frac{\kappa A}{l}\)
Since \(l = 1\) and \(A = V\) (volume containing 1 mole of electrolyte) \(\Lambda _m =\kappa V\)
What does \(\kappa \) represent in the paragraph?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Conductivity
The inverse of resistivity is the conductivity (specific conductance), written κ (kappa). It is the conductance of a solution taken between electrodes 1 cm apart with 1 cm2 area of cross section, and its unit is S cm−1 (S m−1 in SI). In the passage it appears in G = κA/l and in Λm = κV.
NCERT (2026-27 edition):
Conductance of Electrolytic Solutions – “… The inverse of resistivity, called conductivity (specific conductance) is represented by the symbol, κ (Greek, kappa). IUPAC has recommended the use of term conductivity over specific conductance and hence we shall use the term conductivity in the rest of the book. The SI units of conductivity are S m–1 but quite often, κ is expressed in S cm–1.”