The arrangement shown in the figure, the systme of masses `m_(1), m_(2)` and `m_(3)` is being pushed by a force F applied on `m_(1)` horizontally. In order to prevent the downwards slipping of `m_(2)` between `m_(1)` and `m_(3)` if coefficient of friction between `m_(2)` and `m_(3)` is `mu` and all the other surface are smooth, the minimum value of F `:`

Options

A. `F ge ( m_(1)+m_(2)+m_(3)) ( m_(2)g)/(mum_(3))`
B. `F le ( m_(1)+m_(2)+m_(3)) ( m_(2)g)/(mum_(3))`
C. `F ge ( m_(1)+m_(2)+m_(3)) mug`
D. `F le ( m_(1)+m_(2)+m_(3)) mug`

Answer

1