Deactivating groups are substituents that decrease the reactivity of the aromatic ring towards electrophilic aromatic substitution. They do this by withdrawing electron density from the ring, making it less attractive to electrophiles.
For example, both bromine and chlorine are deactivating groups because they have high electronegativity and withdraw electron density through an inductive effect, even though they also act as ortho/para directors.
In the nitration of m-bromochlorobenzene, the presence of these deactivating groups means that the ring is generally less reactive than an unsubstituted benzene ring. However, because they also direct new substituents to the ortho and para positions, the meta positions (relative to these groups) still get less electron density and thus are least favored for a nitration reaction.
- Therefore, in the problem, the position least nitrated is meta to chlorine.