Water flows steadily through a horizontal pipe of varying cross-section. At one section, the pressure is $120 ext{kPa}$ and the speed is $0.6 ext{m/s}$. At another section where the area is one-third the first, the pressure drops by $20 ext{kPa}$. What is the water speed at the second section (density of water = $1000 ext{kg/m}^3$)?

Two cubes each weighing 22 g exactly are taken. One is of iron $\left( {d = 8 imes {{10}^3}{\rm{kg}}{{\rm{m}}^{ - 3}}} \right)$ and the other is of marble$\left( {D = 3 imes {{10}^3}{\rm{kg}}{{\rm{m}}^{ - 3}}} \right)$. They are immersed in alcohol and then weighed again

A $10{\rm{c}}{{\rm{m}}^3}$ cube floats in water with a height of $4\,\,{\rm{c}}{{\rm{m}}^3}$ remaining above the surface. The density of the material form which the cube is made is

The fraction of a floating object of volume ${V_0}$ and density ${d_0}$ above the surface of a liquid of density $d$ will be

Which principle explains the lift of an airplane wing?

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?

Two pieces of metal when immersed in a liquid have equal upthrust on them; then

A bird is sitting in a large closed cage which is placed on a spring balance. It records a weight of 5N. The bird of mass 0.5 kg files upward in the cage with an acceleration of $2{\rm{m}}{{\rm{s}}^{ - 2}}$. The spring balance will now record a weight of

A solid floats in water has $\frac{1}{5}\,th$ of its volume immersed in it. What fraction of its volume will be immersed if it floats in a liquid of specific gravity 1.4?

A weightless bag is filled with 5 kg of water and then weighed in water. The reading of spring balance is

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