  Electron scattering Coulomb form factors for the single-particle quadrupole
transitions in $p$-shell $^{10}$B nucleus have been studied. Core polarization
effects are included through a microscopic theory that includes excitations
from the core orbits up to higher orbits with 2$\hbar$$\omega$ excitations. The
modified surface delta interaction (MSDI) is employed as a residual
interaction. The effect of core polarization is found essential in both the
transition strengths and momentum transfer dependence of form factors, and
gives a remarkably good agreement with the measured data with no adjustable
parameters.
