Embibe Experts Solutions for Chapter: Fluid Mechanics, Exercise 1: Exercise - 1

An incompressible liquid flows through a horizontal tube as shown in the figure. Then the velocity $v$ of the fluid is :

For a fluid that is flowing steadily in a horizontal tube as shown in the figure, the level in the vertical tubes is best represented by

There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height of the two holes is $h$ as shown in the figure. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to:

A cylindrical tank of height $0.4 \mathrm{m}$ is open at the top and has a diameter $0.16 \mathrm{m}.$ Water is filled in it up to a height of $0.16 \mathrm{m}.$ How long it will take to empty the tank through a hole of radius $5\times {10}^{–3}$ m at its bottom?

A large cylindrical vessel contains water to a height of $10 \mathrm{m}$. It is found that the thrust acting on the curved surface is equal to that at the bottom. If atmospheric pressure can support a water column of $10 \mathrm{m}$, the radius of the vessel is

A jet of water of cross-sectional area $A$ hits a plate normally with velocity $v$. The plate is moving in the direction of the jet with velocity $V$, therefore, the force exerted on the plate is proportional to

When a large bubble rises from the bottom of a lake to the surface. Its radius triples. If atmospheric pressure is equal to that of column of water height $H$, then the depth of lake is :

Water is filled up to a height $\mathrm{h}$ in a beaker of radius $\mathrm{R}$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $P_0$. Consider a vertical section $ABCD$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude