Step 1: Evaluation of Statement I.
Although the dipole moment of R–CN is greater than that of R–NC, the statement incorrectly mentions that R–NC undergoes acidic hydrolysis to form R–COOH. In reality, nitriles (R–CN) undergo acidic hydrolysis to give carboxylic acids, whereas isocyanides (R–NC) do not. Hence, Statement I is false.
Step 2: Evaluation of Statement II.
R–CN undergoes acidic hydrolysis to form R–COOH. Treatment with SOCl$_2$ converts it into R–COCl, which on reaction with NH$_3$ forms R–CONH$_2$ (amide). The amide undergoes Hofmann degradation with NaOCl/NaOH to form R–NH$_2$, which on treatment with CHCl$_3$/KOH/$\Delta$ gives R–NC via the carbylamine reaction. Thus, Statement II is true.
Step 3: Conclusion.
Statement I is false and Statement II is true.