Two masses move on a collision path as shown. Before the collision the object with mass $$2M$$ moves with a speed $$v$$ making an angle $$\theta = \sin^{-1}(3/5)$$ with the $$x$$-axis while the object with mass $$M$$ moves with a speed $$\frac{3}{2}v$$ making an angle $$\phi = \sin^{-1}(4/5)$$ with the $$x$$-axis. After the collision the object of mass $$2M$$ is observed to be moving to the right along the $$x$$-axis with a speed $$\frac{4}{5}v$$. There are no external forces acting during the collision. The correct option is