  Let U^{'s}_{L}(n,d) be the moduli space of stable vector bundles of rank $n$
and fixed determinant L of degree d on a nodal curve Y. The moduli space of
semistable vector bundles of rank n and degree $d$ will be denoted by
U'_Y(n,d). We calculate the Brauer groups of U^{'s}_{L}(n,d)$. We study the
question of rationality of $U^{'s}_{L}(n,d)$ and $U'_Y(n,d)$.
