A boat carrying a number of large stones is floating in a water tank. What will happen to the water level if the stones are unloaded into the water:-

An object of weight $W$ has a uniform rectangular cross-section of $a\times 2a$ and density of $0.25 \mathrm{g} {\mathrm{cm}}^{-3}$. Part of it is immersed in water and the rectangle is tilted by $45°$, while one of its corners is just at the water surface. Find the torque of the buoyancy force to the center of mass of the object.

Water is flowing through a rectangular cross-sectional channel that is $12 \mathrm{m}$ wide with a speed of $0.75 \mathrm{m} {\mathrm{s}}^{-1}.$ The water then flows into four identical channels that have a width of $4.0 \mathrm{m}.$ The depth of the water does not change as it flows into the four channels. What is the speed of the water in one of the smaller channels?

A U-tube of small and uniform cross section contains water of total length $4H$. The height difference between the water columns on the left and on the right is $H$ when the valve $K$ is closed. The valve is suddenly open, and water is flowing from left to right. Ignore friction. Find the speed of water when the heights of the left and the right water columns are the same,