A silt is cut at the bottom, along the right bottom edge of a rectangular tank. The slit is closed by a wooden wedge of mass `m` and apex angle `theta` as shown in figure. The vertical plane surface of the wedge is in contact with the right vertical wall of the container. coefficient of static friction between these two surfaces is `mu`. To what maximum height can water be filled in the tank without leakage from the slit ? The width of tank is b and density of water is `rho`.