Mechanical Prop...

A hemispherical bowl of radius  "R" is placed on a flat horizontal surface on its circular base. There is a small hole at the top of the inverted bowl. Through the hole, a liquid of density " P" is poured slowly. When the bowl just gets filled, water starts flowing on to the table from its base. The bowl is 

The diameter of two pistons of hydraulic press are $$0.1 m$$ and $$0.6 m$$ respectively. Advantage of the hydraulic press assuming effort is applied directly on pump plunger.

A wire of length 'l' meters, made of material of specific gravity 8 is floating horizontally on the surface of water. If it is not wet by water, the maximum diameter of the wire (in milli meters) upto which it can continue to float is (surface tension of water is $$T = 70\times { 10 }^{ -3 }{ Nm }^{ -1 })$$ 

A rain drop of radius $$1.5 mm$$, experiences a drag force $$F =$$ $$12\times 10^{-5}\times v \:N$$, while falling through air from a height $$2 km$$, with a velocity $$v$$. The terminal velocity of the rain drop will be nearly (use $$g=10 m/s^2)$$ : 

Water is flowing through two horizontal pipes of different radii which are connected together. In the first pipe speed of water is 4 $${ ms }^{ -1 }$$ and the pressure is $$1.25\times { 10 }^{ 4 }{ Nm }^{ -2 }$$. Then pressure of water in the second pipe is 
( radii of those pipes are in the ratio 1:2)

The minimum horizontal acceleration of the container so that the pressure at the point A of the container becomes atmospheric is (the tank is of sufficient height)

An incompressible fluid flows steadily through a cyindrical pipe which has radius 2$$R$$ at point $$A$$ an radius $$R$$ at point $$B$$ further along the flow direction. If the velocity at point $$A$$ is $$v$$ , its velocity at point will be

The work done by pressure in forcing $$2{ m }^{ 3 }$$ of water through a pipe of radius $$1 m$$, if the pressure difference across a pipe is $${ 10 }^{ 5 }$$ Pa is

Why the dam of water reservoir is thick at the bottom ?

A water drop of radius $$1.5\ mm$$ is falling from height $$\ 1 \ km$$ having drag constant $$0.5$$ density of water drop is $$1000 kg/m^{ 3 }$$ and density of air is $$1.29\ kg/m^{ 3 }$$.Find its terminal velocity.