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

What are three types of energies possessed by a liquid?

Define viscosity and coefficient of viscosity. Write SI unit and dimensional formula of coefficient of viscosity.

Oil is flowing in a circular pipe of radius $5.0 \mathrm{cm}$  at the rate of $10 \mathrm{lt}/\sec .$Calculate (i) the speed of oil in the pipe. (II) If the radius of the pipe is reduced to $3.0 \mathrm{cm}$, Calculate the speed and the volume flow rate in the narrow pipe.

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

State and prove Bernoulli's principle for non viscous fluids and give its limitations

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

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 )