Question 1 :
A liquid is kept in a cylindrical vessel, which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is r and angular velocity of rotation is $\omega$, then the difference in the heights of the liquid at the centre of the vessel and the edge is:<br>
Question 2 :
A liquid is filled upto a height of $20\ m$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $g = 10\ ms^{-2}$).
Question 3 :
The temperature of water at the bottom of a large waterfall is higher than that of the water at the top, because<br>
Question 4 :
Water flows steadily through a horizontal pipe of a variable cross-section. If the pressure of the water is $p$ at a point, where the speed of the flow is $v$. what is the pressure at another point, where the speed of the flow is $2v$ ? Let the density of water be
Question 5 :
When a solid sphere moves through a liquid the liquid opposes is the motion with a force the magnitude of the force depends upon the coefficient of viscosity of the liquid the radius of the sphere find the expression of force using dimension formula:
Question 6 :
A spherical ball of diameter $1$cm and density $5\times 10^3$kg $m^{-3}$ is dropped gently in a large tank containing viscous liquid of density $3\times 10^3$kg $m^{-3}$ and coefficient of viscosity $0.1$Ns $m^{-2}$. The distance, the ball moves in $1$s after attaining terminal velocity is $(g=10ms^{-2})$.
Question 8 :
When a solid ball of volume $V$ is dropped into a viscous liquid, then a viscous force $F$ acts on it. If another ball of volume $2V$ of the same material is dropped in the same liquid then the viscous force experienced by it will be<br>
Question 10 :
Assertion: A liquid will flow faster and more smoothly from a sealed can when two holes are punched in the can than when one hole is punched.
Reason: The flow becomes streamlined with two holes rather than with one hole.
Question 11 :
A water hose of cross sectional area $4$ $\mathrm { cm } ^ { 2 }$ is used to fill a $30$ $Iit$ vessel. If it takes $1$ $minute$ to fill that vessel, the speed at which water leaves the hose is:
Question 12 :
A marble of mass $ x $ and diameter $ 2r $ is gently released a tall cylinder containing honey .If the marble displaces mass $y(<\, x) of the liquid , then the terminal velocity is proportional to
Question 13 :
Water from a tap emerges vertically down with an initial speed of $1.0\ ms^{-1}$. The cross sectional area of tap is $10\ cm^{2}$. Assume that the pressure is constant through out the stream of water,and that the flow is steady, the cross sectional area of the steam $0.15\ m$ below the tap is
Question 14 :
To measure the radius of the drop Millikan used _____ law of freely falling drops.
Question 15 :
A plane is in a level flight at a constant speed and each of its two wings has an area of $25 \ m^{2}$. If the speed of air is $180 \ km h^{-1}$ over the lower wing and $234 \ km h^{-1}$ over the upper wing surface, the plane's mass is : (Take density of air $=1 kg m^{-3}$.)
Question 16 :
The pressure of air inside a soap bubble of diameter $0.7 \ cm$ is $8\ mm$ of water above atmospheric pressure. The surface tension of soap solution is :<br/>
Question 17 :
The velocity head of a stream of water is 40 cm. Then, the velocity of flow of water is :
Question 18 :
In a container having water filled upto a height h, a hole is made in the bottom. The velocity of the water flowing out of the hole is:
Question 19 :
A water tank is filled with water upto height H. A hole is made in a tank wall at a depth D from the surface of water. The distance X from the lower end of wall where the water stream from tank strikes the ground is:<br/>
Question 20 :
A liquid is kept in a cylindrical vessel, which is rotated along its axis. The liquid rises at the side. If the radius of the vessel is 5 cm and the frequency of rotation is 4 rev/s, then the difference in the height of the liquid at the centre of the vessel and its sides is:
Question 21 :
A cylindrical tank stands on a frictionless surface.The seal over a circular hole of radius $0.5 cm$ in the wall of the tank ruptures when the level of water above the hole is $1$ metre. The force that a person must apply on the cylinder to keep it from being set in motion is
Question 22 :
Assertion: A raindrop after falling through some height attains a constant velocity.
Reason: At constant velocity, the viscous drag is just equal to its weight.
Question 23 :
A metal washer has a hole of diameter ${d}_{1}$ and an external diameter ${d}_{2}$, where ${d}_{2}=3{d}_{1}$. On heating ,${d}_{2}$ increases by $0.3\%$. Then ${d}_{1}$ will increase or decrease by what percentage
Question 24 :
Water coming out of a horizontal tube at a speed $v$ strikes normally a vertically was close to the mouth of the tube and falls down vertically after impact. When the speed of water is increased to $2v$.<br/>
Question 25 :
A cylindrical vessel of cross-sectional area $1000 cm^2$, is fitted with a frictionless piston of mass $10 kg$, and filled with water completely. A small hole of cross-sectional area $10 mm^2$ is opened at a point $50 cm$ deep from the lower surface of the piston. The velocity of efflux from the hole will be
Question 26 : <p>STATEMENT-1 : At two different points on the same stream line in streamline flow, velocity of a particle may be different.<br>STATEMENT-2 : Pressure and height may be different at two different points on a streamline.</p>
Question 27 :
If the radius of a soap bubble is four times that of another, then the ratio of their pressure will be.
Question 28 :
Three containers are used in a chemistry lab. All containers have the same bottom area and the same height. A chemistry student fills each of the containers with the same liquid to the maximum volume. Which of the following is true about the pressure on the bottom in each container?
