Mechanical Prop...

A large vessel open at the top contains a liquid. If a hole is made at depth of $$5\ m$$ from the free surface, the velocity of efflux is $$(g = 10\ ms^{-2})$$.

Water is flowing through a tube whose one end is closed with a valve. Gauge pressure inside the tube is  $$5 \times 10 ^ { 3 } \mathrm { N } / \mathrm { m } ^ { 2 }.$$  When the valve is opened, this gauge pressure falls to  $$0.5 \times 10 ^ { 5 } \mathrm { N } / \mathrm { m } ^ { 2 } .$$  If density of water is  $$10 ^ { 3 } \mathrm { kg } / \mathrm { m } ^ { 3 }$$  then the then the initial speed of water flowing in the tube is

Water is streaming downward from a faucet opening with an area of $$3.0\times 10^{ -5 }{ m }^{ 2 }$$. It leaves the faucet with a speed of 5.0 m/s. The cross sectional area of the stream 0.50 m below the faucet is :

Which of the following devices directly measures the rate of flow of liquid?

Which of the following devices directly measures the rate of flow of liquid? 

A block of wood floats in water with $$\dfrac{4}{5}$$th of its volume submerged, but it just floats in another liquid. The density of liquid is? (in kg$$/m^3$$)

A cylinderical vessel is filled with equal amount of weight of mercury and water.The overall height of the two layer is 29.2 cm,specific gravity of mercury is 13.6.Then the pressure of the liquid at the bottom of the vessel is:

Water enters a pipe of diameter $$3.0\ cm$$ with a velocity of $$3.0$$ to m/s. The water encounters a constriction where its velocity is $$12\ m/ s$$. What is the diameter of the constricted portion of the pipe? 

Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.