Mechanical Prop...

The area of cross-section of the wider tube shown in figure is $$800{ cm }^{ 2 }$$. if mass of $$12 kg$$ is placed on the massless piston, the difference in heights h in the level of water in the two tubes is:

A large cylindrical tank has a hole of area $$A$$ at its bottom and water is poured into the tank through a tube of cross-sectional area $$A$$ ejecting water at the speed $$v$$. Which of the following is true?

A solid metallic sphere of radius $$r$$ is allowed to fall freely through air. If the frictional resistance due to air is proportional to the cross-sectional area and to the square of the velocity, then the terminal velocity of the sphere is proportional to which of the following?

Equal volumes of two immiscible liquids of densities $$\rho$$ and $$2\rho$$ are filled in a vessel as shown in figure. Two small holes are punched at depth h/2 and 3h/2 from the surface of lighter liquid. If $$V_{1}$$ and $$V_{2}$$ are the velocities of a flux at these two holes, then $$V_{1}/V_{2}$$ is :

The area of cross-section of the wider tube shown in figure is $$800 cm^2$$. If a mass of 12 kg is placed on the massless piston, the difference in heights h in the level of water in the two tubes is :

A tube is attached as shown in closed vessel containing water. The velocity of water coming out from a small hole is

A water barrel stands on a table of height $$h$$. If a small hole is punched in the side of the barrel at its base, it is found that the resultant stream of water strikes the ground at a horizontal distance $$R$$ from the barrel. The depth of water in the barrel is

Some liquid is filled in a cylindrical vessel of radius $$R$$. Let $${ F }_{ 1 }$$ be the force applied by the liquid on the bottom of the cylinder. Now the same liquid is poured into a vessel of uniform square cross-section of side $$R$$. Let $${ F }_{ 2 }$$ be the force applied by the liquid on the bottom of this new vessel. (Neglect atmosphere pressure). Then

 Water is flowing steadily through a horizontal tube of non-uniform cross-section.If the pressure of water is $$4\times10^4N/mm^2$$ at a point when cross section is $$0.02m^2$$ velocity of flow is 2m/s what is pressure at a point where cross section reduces to $$0.01m^2$$.

A rectangular tank is placed on a horizontal ground and is filled with water to a height $$H$$ above the base. A small hole is made on one vertical side at a depth $$D$$ below the level of water in the tank. The distance $$x$$ from the bottom of the tank at which the water jet from the tank will hit the ground is