Mechanical Prop...

A piston of cross-sectional area $$100 cm^2$$ is used in a hydraulic press to exert a force of $$10^7$$ dyne on the water. The cross-sectional area of the other piston which supports an object having a mass of 2000 kg is :

A solid sphere falls with a terminal velocity of 10 m/s in air. If it is allowed to fall in vacuum:

A uniformly tapering vessel shown in figure, is filled with liquid of density  $$900 kg/m^3$$. The force that acts on the base of the vessel due to liquid is :

A girl stands on a box having 60 cm length, 40 cm breadth and 20 cm width in three ways. The pressure exerted by the box will be:

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 $$\frac{h}{2}$$ and $$\dfrac{3h}{2}$$ 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:

With the increase in the area of contact of an object, the pressure:
(Note : Thrust remains same)

Figure shows water filled in a symmetrical container. Four pistons of equal area $$A$$ are used at the four openings to keep the water in equilibrium. Now an additional force $$F$$ is applied at each piston. The increase in the pressure at the centre of the container due to this addition is

A Cylindrical vessel of cross-sectional area $$1000cm^{2}$$, is fitted with a frictionless piston of mass 10 kg, and filled with water completely. A small hole of cross-sectional area $$10mm^{2}$$ is opened at a point 50 cm deep from the lower surface of the piston. The velocity of effluent from the hole will be

Match column I with column II :

The velocity of the liquid coming out of a small hole of a vessel containing two different liquids of densities $$2\rho$$ and $$\rho$$ as shown in the figure is