Mechanical Prop...

A narrow tube completely filled with a liquid is lying on a series of cylinders as shown in the figure. Assuming no sliding between any surfaces, the value of acceleration of the cylinders for which liquid will not come out of the tube from anywhere is given by

A liquid flows through a horizontal tube as shown in figure. The velocities of the liquid in the two sections, which have areas of cross-section $$A_1$$ and $$A_2$$, are $$v_1$$ and $$v_2$$, respectively The difference in the levels of the liquid in the two vertical tubes is h. then

Find the speed with which water comes out of the hole.

A vertical cylinder is filled with liquid. A small hole is made in the wall of the cylinder at a depth $$H$$ below the free surface of the liquid. The force exerted on the cylinder by the liquid flowing out of the hole initially will be proportional to :

What is the reading of the scale when the ball is fully immersed?

A large open top container of negligible mass and uniform cross-sectional area-A has a small hole of cross-sectional area A/100 in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains a liquid of density $$\rho$$ and mass $$m_0$$. Assuming that the liquid starts flowing out horizontally through the hole at t = 0, calculate the acceleration of the container

A fixed thermally conducting cylinder has a radius $$R$$ and height $$L_{0}$$. The cylinder is open at its bottom and has a small hole at its top. A piston of mass $$M$$ is held at a distance $$L$$ from the top surface as shown in Fig. The atmospheric pressure is $$p_{0}$$.
The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in Fig. The density of the water is $$\rho$$. In equilibrium, the height $$H$$ of the water column in the cylinder satisfies.

The excess pressure inside on soap bubble is three times inside that of the second soap bubble.The ratio of their surface area is:

 A capillary tube $$(A)$$ is dropped in water . Another identical tube $$(B)$$ is dipped in a soap water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?

Water pressure at the bottom of centre of the box is equal to (atmospheric pressure =$${10}^{5}\ N/{m}^{2}$$, density of water= $$1000\ kg/{m}^{3}, g= 10\ m/{s}^{2}$$)