Shown in the figure, the co-efficient of friction between the flor and the body B is 0.1. The co-efficient of friction between the bodie B and A is 0.2 A force F is applied as shwon on B. The mas of A is m/2 and of b is m. Which of the following statements are true?

Options

A. The bodies will move together if F = 0.25 mg.
B. the body will slip with respect to B if F = 0.5 mg.
C. the bodies will move together if F = 0.5 mg.
D. the bodies will be at rest if F = 0.1 mg.