  The boson mass and the condensate in two dimensional QCD with $SU(N_c)$
colors are numerically evaluated with the Bogoliubov vacuum. It is found that
the boson mass is finite at the massless limit, and it is well described by the
phenomenological expression $ {\cal M}_{N_c}={2\over
3}\sqrt{{N_cg^2\over{3\pi}}} $ for large $N_c$. Also, the condensate values
agree very well with the prediction by the $1/N_c$ expansion. The validity of
the naive light cone method is examined, and it turns out that the light cone
prescription of the boson mass with the trivial vacuum is accidentally good for
QED$_2$. But it is not valid for QCD$_2$. Further, at the massless fermion
limit, the chiral symmetry is spontaneouly broken without anomaly, and the
Goldstone theorem does not hold for QCD$_2$.
