${\left({\mathrm{CH}}_3\right)}_2 {\mathrm{SiCl}}_2$ undergoes hydrolysis but  ${\left({\mathrm{CH}}_3\right)}_2{\mathrm{CCl}}_2$ does not this is because

d – orbitals are present in valence shell of Si but not in ‘C’

Silicon is more acidic

Si – Cl bond is more polar than C – Cl bond

Only 3P – orbital is involved in ‘C’