Mechanical Prop...

 A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity $$0.8$$). The height of water is $$3\ m$$ and that of kerosene $$2m$$. When the hole opened the velocity of fluid coming out from it is nearly: (take $$g=10\ {ms}^{-2}$$ and density of water $${10}^{3}\ kg\ {m}^{-3}$$)

A container is filled with water, accelerating with acceleration $$10 m/s^2$$, long $$+ve$$ X-axis on a smooth horizontal surface. The velocity of efflux of water at a point $$P$$ at the bottom of the tank and near its left most corner is

Water flow through a vertical tube of variable cross-section. The area of cross-section at $$A$$ and $$B$$ are $$6$$ and $$3\ mm^{2}$$ respectively. If $$12\ cc$$ of water enters per second through $$A$$, find the pressure difference $$\left|P_{A}-P_{B} \right|$$ $$(g=10\ m/s^{2})$$. The separation between the cross-sections at $$A$$ and $$B$$ is $$100\ cm$$.

Water if flowing steadily through a horizontal pipe of non-uniform cross-section. If the velocity of water at a point where cross-section is $$0.02 m^3$$ is $$2m/s$$, what is the velocity of water at another point where the cross-section is $$0.01 m^3$$ ?

A solid sphere falls with a terminal velocity of $$10 cm/sec$$ in air. If its is allowed to fall in vacuum, the terminal velocity will be

In the diagram shown, the difference In the two tubes of the  manometer is $$5\ cm$$, the cross section of the tube at $$A$$ and $$B$$ is $$6\ {mm}^{2}$$ and $$10\ {mm}^{2}$$ respectively. The rate at which liquid flows though the tube is $$(g=10\ {m/s}^{2})$$

An open U-tube contains mercury. When $$13.6 cm$$ of water is pourd into one of the arms of the tube then the mercury rise in the other arm from its initial level is:

When an air bubble of radius $$r$$ rises from the bottom to the surface of a lake, the radius becomes $$\dfrac {5r}{4}$$. Taking the atmospheric pressure to be equal to $$10\ m$$ height of water column, the depth of the lake would approximately be (ignore the surface tension and the effect of temperature):

A hydraulic lift is used to lift a car of mass $$2000\ kg$$. The cross-sectional area of the larger piston on which the car is supported is $$10^{-1} m^{2}$$. The smaller pistion is $$5m$$ below the bigger piston. The cross-sectional area of the smaller piston is $$10^{-2} m^{2}$$. What weight placed on smaller piston will be sufficient to keep the car in equilibrium?

An open U-tube contain mercury when $$13.6cm$$ of water is poured into one of the arms of the mercury rise  in the other its initial level is