A thin V-shaped glass tube is bent through the right angle and is fixed in the vertical plane as shown. Initially, the left part of the tube contains a column of water of length $d=\sqrt{2}m.$  A valve at the bottom of the tube prevents the water from moving to right part. At some time, the valve is quickly opened. Neglecting friction, find the time (in seconds) it takes for the water to move completely into the right part of the tube. $(Takeg={\pi }^{2}m/s^2)$