A large tank is filled with water to a height $H$. A small hole is punched in the side of the tank at a depth $h$ below the water surface. If $h = H/4$, what is the horizontal distance $x$ from the base of the tank to where the stream of water strikes the ground?

An adulterated sample of milk has density of $1032{\rm{kg}}{{\rm{m}}^{ - 3}}$, while pure milk has a density of $1080{\rm{kg}}{{\rm{m}}^{ - 3}}$. Then the volume of pure milk in a sample of 10 L of adulterated milk is

A large tank is filled with water to a height $H$. A small hole is punched in the side of the tank at a depth $h$ below the water surface. If $h = H/4$, what is the horizontal distance $x$ from the base of the tank to where the stream of water strikes the ground?

A piece of ice is floating in a jar containing water. When the ice melts, then the level of water

A solid of density $D$ is floating in a liquid of densityd. If $v$ is the volume of solid submerged in the liquid and $V$ is the total volume of the solid, then $v/V$ is equal to

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 cylindrical pipe of radius $R$ carries water. At one point, the pipe narrows to $n$ smaller, identical cylindrical pipes, each with a radius $r$. If the speed of water in the larger pipe is $V$, what is the speed of the water in each of the smaller pipes?

A solid sphere of volume V and density ${\rm{\rho }}$ floats at the interface of two immiscible liquids of densities ${{\rm{\rho }}_1}$and ${{\rm{\rho }}_2}$respectively. If ${{\rm{\rho }}_1} < \rho < {\rho _{2,}}$ then the ratio of volume of the parts of the sphere in upper and lower liquid is

A glass flask having mass 390 g and an interior volume of $500{\rm{c}}{{\rm{m}}^3}$ floats on water when it is less than half filled with water. The density of the material of the flask is

Two solids $A$ and $B$ float in water. It is observed that A floats with$\frac{1}{2}$ of its body immersed in water and $B$ floats with $\frac{1}{4}$ of its volume above the water level. The ratio of the density of $A$ to that of $B$is