In the given figure an impulse $J$ is given to the block of mass $m$ in the downward direction. As a result of the impulse both started moving with speed v, then

both the blocks start moving with $\frac{J}{3m}$ in opposite directions

both the blocks start moving with $\frac{J}{m}$ in opposite direction

both blocks start moving with $\frac{J}{2m}$ in opposite direction.

the system is not moving.