Question 1 :
Answer true or false. 'Faster the movement of the air greater is the drop in pressure'.
Question 3 :
The surface energy of liquid film on a ring of area $0.15 m^{2}$ is (Surface tension of liquid $5Nm^{-1}$)<br>
Question 4 :
If two soap bubbles of different radii are connected by a tube,
Question 6 :
What is ratio of surface energy of $1$ small drop and $1$ large drop, if $1000$ small drops combined to form $1$ large drop<br>
Question 7 :
A small steel ball falls through a syrup at a constant speed of $10 cm/sec.$ If the steel ball is pulled upwards with a force equal to twice its effective weight; how fast will it move upwards?
Question 8 :
Two liquid drops have their diameters as $1 \ mm$ and $2 \ mm$. The ratio of excess pressures in them is :
Question 10 :
Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is $P$ where the velocity of flow is $v$. At another point, where the pressure is $P/2$, the velocity of flow is:<br/>[Density of water $=\rho$]
Question 11 :
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 12 :
Let air be at rest at the front edge of a wing and air passing over the surface of wing at a fast speed v. If density of air is $\rho$, the highest value for v in streamline flow when atmospheric pressure is $P_{atmosphere}$ is:<br/>
Question 13 :
Air of density $1.3 kg m^{-3}$ blows horizontally with a speed of $108 km h^{-1}$. A house has a plane roof of area $40 m^{2}$. The magnitude of aerodynamic lift on the roof is.
Question 14 :
A large cylindrical tank has a hole of area $A$ at its bottom and water is poured into the tank through a tube of cross-sectional area $A$ ejecting water at the speed $v$. Which of the following is true?
Question 15 :
The work done to split a liquid drop of radius R into N identical drops is (take $\sigma$ as the surface tension of the liquid):
Question 16 :
If the surface of a liquid is plane, then the angle of contact of the liquid with the walls of container is
Question 17 :
A metal ball of radius $1 mm$ and density $10^{4}$kg m$^{-3}$. falls freely in air through a height '$h$' before falling in a tank full of water. If on falling in water its velocity remains unchanged, then the value of h will be (Coefficient of viscosity of water $= 10^{-3}$ Pa.s and $  g = 10ms^{-2}$)
Question 18 :
If the excess pressure inside a soap bubble is three times that of other bubble, then the ratio of their volumes will be
Question 19 :
If a number of little droplets of liquid of density $\rho$ surface tension $T$ and specific heat $C$, each of radius $r$ coalesce to form a single drop of radius $R$ then the rise in temperature will be:
Question 22 :
Two small drops of mercury, each of radius R, coalesce to form a single large drop. The ratio of the total surface energies before and after the change is :-<br>
Question 23 :
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 24 :
One drop of soap bubble of diameter $D$ breaks into $27$ drops having surface tension $\sigma$. The change in surface energy is
Question 25 :
A number of small drops of mercury coalesce adiabatically to form a single drop. The temperature of drop:<br/>
Question 26 :
Assertion: The velocity of horizontal flow of a ideal liquid is smaller where pressure is large and vice versa.
Reason: According to Bernoulli's theorem for the stream line flow of an ideal liquid, the total energy per unit mass remains constant.
Question 27 :
A water drop is divided into eight equal droplets. The pressure difference between inner and outer sides of the big drop:<br>
Question 28 :
A number of little droplets of a liquid of surface T density p, all of same redius r, combine to form a single drop of radius R if the total energy released in this process is converted into kinetic energy of the bigger drop velocity of the bigger drop is:
Question 29 :
In a horizontal pipe line of uniform cross-section,pressure falls by $5\ Pa$ between two points separated by $1\ km$. The change in the kinetic energy per kg of the oil flowing at these points is :(Density of oil $= 800\ kgm^{-3}$)
Question 30 :
The velocity of a ball of mass m density d1d1 becomes constant after some time.The viscous force acting on the ball will be:
Question 31 :
For tap water and clean glass, the angle of contact is<br/>
Question 32 :
The excess of pressure inside the first soap bubble is two tines that inside the second bubble The ratio of radii of the first to that of the second bubble is
Question 33 :
A large number of droplets, each of radius $a$, coalesce to form a bigger drop of radius $b$. Assume that the energy released in the process is converted into the kinetic energy of the drop. The velocity of the drop is ($\sigma=$surface tension, $\rho=$density)<br>
Question 34 :
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 35 :
A cylidrical drum, open at the top, contains 30 litres of water. It drains out through a small opening at the bottom. 10 litres of water comes out in time $t_1$, the next 10 litres in further time $t_2$ and the last 10 litres in further time $t_3$. Then,<br><br>
Question 36 :
 $1m^3$ water is brought inside the lake upto $200 m$ depth from the surface of the lake. What will be change in the volume when the bulk modulus of elasticity of water is $22000 atm$?<br/>(density of water is $1 \times 10^3 kg/m^3$ atmosphere pressure = $10^5 N/m^2$ and $g = 10 m/s^2$
Question 37 :
A small steel ball falls through a syrup at a constant speed of 10 m/s. If the steel ball is pulled upwards with a force equal to twice its effective weight, how fast will it move upwards?
Question 38 :
The surface tension of a liquid is $5 N/m$. If a film of this liquid is held on a ring of area $0.02  {m}^{2} $, its surface energy is about :
Question 39 :
The work done to get n smaller equal size spherical drops from a bigger size spherical drop of water is proportional to
Question 40 :
If the excess pressure inside a soap bubble of radius ${ r }_{ 1 }$ in air is equal to the excess pressure inside air bubble of radius ${ r }_{ 2 }$ inside the soap solution, then ${ r }_{ 1 }:{ r }_{ 2 }$ is
Question 41 :
A cylinder with a movable piston contains air under a pressure $\displaystyle P_{1}$ and a soap bubble of radius 'r'. The pressure $\displaystyle P_{2}$ to which the air should be compressed by slowly pushing the piston into the cylinder for the soap bubble to reduce its size by half will be (The surface tension is $\displaystyle \sigma$ and the temperature T is maintained constant)
Question 42 :
If the radius of a soap bubble is four times that of another, then the ratio of their pressure will be.
Question 43 :
A capillary tube of radius $r$ is immersed in water and water rises to a height of $h$. Mass of water in the capillary tube is $5\times 10^{-3}kg$. The same capillary tube is now immersed in a liquid whose surface tension is $\sqrt{2}$ times the surface tension of water. The angle of contact between the capillary tube and this liquid is $45^o$. The mass of liquid which rises into the capillary tube now is (in kg):
Question 44 :
The angle of contact at the interface of water glass is ${0^ \circ }$, Ethyl-alcohol glass is ${0^ \circ }$ Mercury glass is ${140^ \circ }$ and Methyl iodide is ${30^ \circ }$. A glass capillary is put in a trough containing one of these for liquids it is observed that the meniscus is convex. the liquid in the trough is :      
Question 45 :
A tank is filled with two immiscible  liquids of densities $2\rho$ and $\rho$ each of height $h$. Two holes are made to the side wall at $\dfrac{h}{2}$ and $\dfrac{3h}{2}$ from upper surface of the liquid, then the ratio of velocity of efflux of the liquids through the holes
