  The nuclear effects in the spin-dependent structure function $g_1$ of the
deuteron are studied in the kinematics of future experiments at CEBAF, ($\nu
\leq 3~GeV, ~Q^2 \leq 2~GeV^2$). The magnitude of the nuclear effects is found
to be significantly larger than the one occurring in deep inelastic scattering
($\nu\to \infty, ~Q^2\to \infty$). We discuss the mechanism leading to large
effects in the region of the nucleon resonances. A possibility to measure the
neutron structure functions in the CEBAF experiments with deuterium is
analysed, and conclusions about the experimental study of the $Q^2$ dependence
of the Gerasimov-Drell-Hearn Sum Rule for the neutron are drawn.
