Fluid Mechanics

A jet of water having velocity$=10 \mathrm{m} {\mathrm{s}}^{-1}$ and stream cross-section$=2 {\mathrm{cm}}^2$ hits a flat plate perpendicularly, with the water splashing out parallel to plate. Find the force that the plate experiences

A beaker is half filled with water. It is allowed to slip down an inclined plane with angle of inclination to the horizontal. The level of water in the beaker will be :-

Which one of given option is more suitable for studying about fluid mechanics?

Which of the following is an example of fluid statics?

Which of given is example of the fluid dynamics?

Bernoulli's theorem is a restatement of :

At the time of the terminal velocity,the acceleration of the object is:

Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density $984 \mathrm{kg} {\mathrm{m}}^{-3}$. Determine the height of the wine column for normal atmospheric pressure.

A bubble of radius $R$ in water of density $\rho$ is expanding uniformly at speed $v$. Given that water is incompressible, the kinetic energy of water being pushed is

Consider the configuration of a stationary water tank of cross-section area $A_0$ and a small bucket as shown in figure below;

What should be the speed $v$ of the bucket, so that the water leaking out of a hole of cross-section area $A$ (as shown) from the water tank does not fall outside the bucket?

(Take, $h=5 \mathrm{m}, H=5 \mathrm{m}, \mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}, A=5 {\mathrm{cm}}^2$ and $A_0=500 {\mathrm{cm}}^2$).

Consider the wall of a dam to be straight with height $H$ and length $L$. It holds a lake of water of height $h\left(h<H\right)$ on one side. Let the density of water be ${\rho }_w$ Denote the torque about the axis along the bottom length of the wall by ${\tau }_1$. Denote also a similar torque due to the water up to height $\frac{h}{2}$ and wall length $\frac{L}{2}$ by ${\tau }_2$. Then, $\frac{{\tau }_1}{{\tau }_2}$ (ignore atmospheric pressure) is

Air (density $\rho$ ) is being blown on a soap film (surface tension $T$ ) by a pipe of radius $R$ with its opening right next to the film. The film is deformed and a bubble detaches from the film when the shape of the deformed surface is a hemisphere. Given that the dynamic pressure on the film due to the air blown at speed $v$ is $\frac{1}{2}\rho v^2,$ the speed at which the bubble formed is

A very large block of ice of the size of a volleyball court and of uniform thickness of $8 m$ is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about

Water is moving with a speed of $5.18 \mathrm{m} {\mathrm{s}}^{-1}$ through a pipe with a cross-sectional area of $4.20 {\mathrm{cm}}^2$. The water gradually descends $9.66 \mathrm{m}$ as the pipe increases in area to $7.60 {\mathrm{cm}}^2$. The speed of flow at the lower level is

Physical processes are sometimes described visually by lines. Only the following can cross

A container with square base of side $a$ hight $H$ with a liquid. A hole is made at a depth $h$ from the free surface of water. With what acceleration the container must be accelerated, so that the water does not come out?

Two capillaries of length $L \mathrm{a}\mathrm{n}\mathrm{d}\mathrm{ }2\mathrm{L}$ and of radii $R \mathrm{a}\mathrm{n}\mathrm{d}\mathrm{ }2\mathrm{R}$ respectively are connected in series. The net rate of flow of fluid through them will be (Given, rate of the flow through single capillary, $X=\pi p{R}^4$/8ɳL )