Mechanical properties of fluids practice · Medium

A tank is filled to a height $H$. The range of water coming out of a hole which is a depth $H / 4$ from the surface of water level is

A waterproofing agent changes the angle of contact

A body weighs $160g$ in air, $130g$ in water and in oil. The specific gravity of oil is

A small sphere is falling in a viscous liquid with terminal speed. The work done by viscous force on the body in taking it through a finite displacement is;

A solid sphere of radius $R$ acquires a terminal velocity ${v_1}$ when falling (due to gravity) through a viscous fluid having a coefficient of viscosity $\eta$. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, ${v_2}$ when falling through the same fluid, the ratio $\left( {{v_1}/{v_2}} \right)$ equals

If Reynold's number is greater than 3000, the flow of liquid is:

The water flows from a tap of diameter $1.25cm$ with a rate of $5 \times {10^{ - 5}}{m^3}{s^{ - 1}}$. The density and coefficient of viscosity of water are ${10^3}kg{m^{ - 3}}$ and ${10^{ - 3}}$ Pas, respectively. The flow of water is

What is the maximum height (in $\mathrm{m}$ ) of a brick column of uniform cross section for which column deformation due to its own weight is within the elastic limit? $\left[\mathrm{P}_{\text {atmospheric }}=100 \mathrm{kPa}, \rho=1.8 \times 10^3\right.$ $\mathrm{kg} / \mathrm{m}^3$. Elastic limit, $\sigma=3.7 \mathrm{MPa}$.]

The work done in blowing a soap bubble of radius 0.2 m is (Surface tension of water is 0.06 N/m )

Two stretched membranes of area$2\mathrm{c}{\mathrm{m}^2}$ and$3\mathrm{c}{\mathrm{m}^2}$ are placed in a liquid at the same depth. The ratio of pressure on them is

A straw $6\,cm$ long floats on water. The water film on one side has surface tension of $50\,dyne/cm$ on the other side camphor reduces the surface tension to $40\,dyne/cm$.The force is

Sudden fall of pressure at a place indicates:

An object is located at 2 km beneath the surface of the water. If the fractional compression $\frac{{\Delta V}}{V}$ is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be………
(Take, density of water is $1000\,\mathrm{ }kg\mathrm{ }\,{m^{ - 3}}$ and $g = 9.81\,\mathrm{ m}\,{\mathrm{s}^{ - 2}}$ )

A tube of length $3 \mathrm{~m}$ is filled completely with an incompressible liquid of mass $2 \mathrm{~kg}$ and closed at both ends. The tube is rotated in horizontal plane about one of its ends with angular speed of $1 \mathrm{~rad} / \mathrm{s}$. The force exerted by liquid at other end is

With an increase in temperature, surface tension of liquid (except molten copper and cadmium)

Assertion: The contact angle between water and glass is acute.
Reason: The surface of water in the capillary is convex.

A square frame of side $L$ is dipped in a liquid. On taking out, a membrane is formed. If the surface tension of the liquid is $T$, the force acting on one side of the frame will be

A soap bubble of diameter $a$ is produced using the soap solution of surface tension $T$. Find the energy required to double the radius of the bubble without change of temperature.

In a streamline flow if the gravitational head is $h$. The kinetic and pressure heads are

Wax is coated on the inner wall of a capillary tube and the tube is then dipped in water. Then, compared to the unwaxed capillary, the angle of contact $\theta$ and the height $h$ upto which water rises change. These changes are :

An air foil has:

A water drop is divided into eight equal droplets. The pressure difference between the inner and outer side of the big drop will be

A drop of radius $R$ is split under isothermal conditions into $n$ droplets, each of radius $r$ the ratio of surface energies of big and each small drop is

Select the correct statements from the following.

A body of density $\rho$ is dropped from rest from height $h$ (from the surface of water) into a lake of density of water $\sigma(\sigma>\rho)$. Neglecting all dissipative effects, the acceleration of body while it is in the lake is

A cubical block of steel of each side equal to $l$ is floating on mercury in a vessel. The densities of steel and mercury are $\rho_s$ and $\rho_m$. The height of the block above the mercury level is given by

A ball whose density is$0.4 \times {10^3}\mathrm{kg}{\mathrm{m}^{ - 3}}$ falls into water from a height of 9 cm. To what depth does the ball sink?

A boat having a length $3 \mathrm{~m}$ and breadth $2 \mathrm{~m}$ is floating on a lake. The boat sinks by $1 \mathrm{~cm}$ when a man gets on it. The mass of the man is

A sample of metal weight $300 \mathrm{~gm}$ in air, $270 \mathrm{~gm}$ liquid. Then find:

(1) Relative density of metal

(2) Relative density of unknown liquid.

The pressure on a swimmer 20 m below the surface of water at sea level is