Step 1: Understanding the Concept
Molar conductivity is the conductance of all ions produced from 1 mole of electrolyte.
Step 2: Derivation
Conductivity \(\kappa\) is in \(\text{S cm}^{-1}\) and concentration \(c\) in \(\text{mol L}^{-1}\). One litre is 1000 \(\text{cm}^{3}\), so the volume containing 1 mole is \(\dfrac{1000}{c}\text{ cm}^{3}\).
Step 3: Result
\(\Lambda_m=\kappa\times\dfrac{1000}{c}\), in \(\text{S cm}^{2}\text{ mol}^{-1}\).
Final Answer:
Molar conductivity equals conductivity times 1000 divided by molar concentration.
\[ \boxed{\text{(B) }\text{electrolytic conductivity}\times1000/\text{molar concentration}} \]