Given below are two statements:
Statement I: For KI, molar conductivity increases steeply with dilution.
Statement II: For carbonic acid, molar conductivity increases slowly with dilution.
In the light of the above statements, choose the correct answer from the options given below:

We need to evaluate both statements about molar conductivity.

Statement I: For KI, molar conductivity increases steeply with dilution. KI (potassium iodide) is a strong electrolyte, and for such electrolytes, the molar conductivity is already high at moderate concentrations because they are fully dissociated. Upon dilution, the molar conductivity increases only slightly rather than steeply, as this increase is mainly due to decreased inter-ionic interactions. This variation follows the Debye-Huckel-Onsager equation: $$\Lambda_m = \Lambda_m^{\circ} - A\sqrt{c}$$. Statement I is FALSE — the increase is slow, not steep.

Statement II: For carbonic acid, molar conductivity increases slowly with dilution. Carbonic acid ($$H_2CO_3$$) is a weak electrolyte, and in the case of weak electrolytes, molar conductivity increases steeply with dilution because the degree of dissociation increases significantly. At high concentrations, weak electrolytes are poorly dissociated, but dilution shifts the equilibrium towards more ionization, causing a steep rise in molar conductivity. Statement II is FALSE — the increase is steep, not slow.

Since both statements are false, the correct answer is Option B: Both Statement I and Statement II are false.