$A_1$ and $A_2$ represent area of cross-section of bottom and top of tank which is completely filled with water.

 

If $A_1=10{\mathrm{cm}}^2$ and $A_2=30{\mathrm{cm}}^2$ and volume is $1$ litre. The force exerted by the water on the bottom.

A uniformly tapering vessel shown in figure is filled with a liquid of density $1000\mathrm{kg}{\mathrm{m}}^{-3}$. The force that acts on the base of the vessel due to the liquid is (Take $g=10{\mathrm{ms}}^{-2}$)

A cubical block having side length $10\mathrm{cm}$ is floating at the interface of water and oil as shown. Density of oil is $0.6 \mathrm{g}/\mathrm{cc}$ and $2\mathrm{cm}$ length of the cube is inside the water then the mass of the block will be

A slender homogeneous rod of length $2\mathrm{L}$ floats partly immersed in water being supported by a string fastened to one of its end. The specific gravity of the rod is $0.75$. The length of rod that extends out of water is

If the container is accelerating along a direction as shown in figure. Find the angle $\theta$ made by liquid surface as shown.

Liquid filled in the container has density $5 {\mathrm{kgm}}^{-3}$. If the container is moving horizontally with acceleration $a=$ $2 {\mathrm{ms}}^{-2}$ then pressure difference between two points $A$ and $B$, which are at the same level with separation between them $50\mathrm{cm}$, will be

When at rest, a liquid stands at the same level in the tube shown in figure. But as indicated a height difference $h$ occurs when the system is given an acceleration a towards the right. Then $h$ is equal to