A solid cylinder is given a velocity ${\mathrm{\nu }}_0$ and an angular speed ${\mathrm{\omega }}_0$ in the anticlockwise direction and then it is placed gently on a very long rough plank (initially at rest) as shown in the figure. Then, choose  the incorrect statement

The friction  force on the disc is in the backward direction till pure rolling stars

The total momentum of system (disc and plank) is conserved

The angular momentum of the disc about any point on the horizontal surface remains conserved

The friction force between  the disc and the plank is kinetic in nature till pure rolling stars