A fluid flows through a pipe of varying cross-section. At point A, the cross-sectional area is $4 ext{cm}^2$ and the velocity is $2 ext{m/s}$. At point B, the velocity is $4 ext{m/s}$. If the fluid has a density of $1000 ext{kg/m}^3$, and the pressure difference between points A and B is $4800 ext{Pa}$, what is the area at point B?

A man is carrying a block of a certain substance (of density $1000kg{m^{ - 3}}$) weighing $1kg$ in his left hand and a bucket filled with water and weighing $10kg$ in the right hand. He drops the block into the bucket. How much load does he carry in his right hand now

A venturimeter is connected to a horizontal pipe. The radius of the pipe is $r$ and the radius of the throat of the venturimeter is $r/2$. The pressure difference between the two sections is $40ext{ cm}$ of Hg. What is the speed of water in the pipe (density of Hg = $13.6 imes 10^3 ext{kg/m}^3$, density of water = $10^3 ext{kg/m}^3$, $g=10 ext{m/s}^2$)?

Consider an iceberg floating in sea water. The density of sea water is $1.03{\rm{gc}}{{\rm{c}}^{ - 1}}$ and that ice is $0.92{\rm{gc}}{{\rm{c}}^{ - 1}}$ The fraction of total volume of iceberg above the level of sea water is nearby

A garden hose with radius $R$ is attached to a sprinkler head with $n$ small holes, each of radius $r$. If the water flows through the hose at speed $V$, with what speed does the water exit each hole in the sprinkler head?

A block of ice floats on a liquid of density 1.2 in a beaker then level of liquid when ice completely melt

A boat carrying a number of large stones is floating in a water tank. What would happen to the water level, if a few stones are unloaded into water?

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

A wooden ball of density $\rho$ is immersed in water of density ${\rho _0}$ to depth $h$ and then released. The height $H$ above the surface of water upto which the ball jump out of water is

A pipe of radius $2R$ branches into three smaller pipes, each of radius $R$. If the velocity of the liquid in the larger pipe is $V$, what is the velocity of the liquid in each of the smaller pipes?

An inverted bell lying at the bottom of a lake $47.6m$ deep has $50c{m^3}$ of air trapped in it. The ball is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure $= 70cm$ of $Hg$ and density of $Hg = 13.6g/c{m^3}$)