A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A force $P$ is applied at mid-height on the wardrobe so as to tip it about point $Q$ without slipping. What are the minimum values of the force (in newton) and the static coefficient of friction $μ$ between the floor and the wardrobe, respectively?
- $490.5$ and $0.5$
- $981$ and $0.5$
- $1000.5$ and $0.15$
- $1000.5$ and $0.25$