Fluids Questions and Answers

An aeroplane of total wing area of 120 m is in a level flight at some height Velocity of air below and above the surface of aeroplane are 180 kmph and 90 kmph respectively The dynamic lift on the aeroplane is density of air is 1 2 kg m 3 A 135kN B 270Kn C 100KN D 125KN

A block of density d suspended by a string is submerged completely in a liquid of density p The coefficient of linear expansion of the block is as and coefficient of cubical expansion of the liquid is y and y 2a Assuming that the block is always completely submerged in liquid and string is always stretched as the temperature of both block and the liquid is raised equally A tension in the string increases e tension in string decreases B buoyant force decreases D buoyant force remain constant

3 4 Two glass plates are placed in a liquid vertically with separation between them equal to W If surface tension of liquid is S and density is D then the height of liquid rising between the plates will be assume angle of contact is zero and g is acceleration due to gravity S 1 WDg S 3 2WDg 2 ions 2S WDg WDg 4 2S The temperature of an ideal gas is increased from

An open U tube contains mercury When 11 2 cm of water is poured into one of the arms of the tube how high does the mercury rise in the other arm from its initial level Density of mercury is 13 6 g cm 1 0 56 cm 3 0 41 cm 2 1 35 cm 4 2 32 cm

5 A cubical container is completely filled with water with its top face open to atmosphere If container is accelerated horizontally with 5 m s then find the volume of water spills out edge length of container is 5 m 1 125 m 3 10 m 2 100 m 4 31 25 m Medic

A cube is immersed in kerosene and water at rest without any external force as shown To keep it completely submerged in water we need to apply an extra fo at 4N If it was initially submerged to depth of in kerosene what is the length 4 of the side of cube in cm p 0 8gm cc p 1gm cc kerosene water

25 If weight of container along with water is W then reading of weighing machine will be ieeee 1 W W 3 W W W Weighing Machine 2 W W 4 W W

2 8 A solid ball of density p and radius r falls vertically through a liquid of density p2 Assume that the viscous force acting on the ball is F krv where k is a constant and v its velocity What is the terminal velocity of the ball 1 3 2 4 r P P 3k 2ng P P 3gr k 2 r P P 3gk 4 None of these 2

A large cylindrical tower is kept vertical with its ends closed An ideal gas having molar mass M fills the tower Assume that temperature is constant through out acceleration due to gravity g is constant through out and the pressure at the top of tower is zero A The fraction of total weight of the gas inside the tower that lies above certain Mgh height h is e RT B The fraction of total weight of the gas inside the tower that lies above certain height h is C The height ho at which the quantity of gas above and below in the tower same is equal to Mgh 2RT e RT Mg D The height h at which the quantity of gas above and below in the tower same is equal to log 2 2RT Mg log 2

The flow of blood in a large artery of an anesthetised dog is diverted through a venturi meter The wider part of the meter has cross sectional area equal to that of the artery A 10 mm The narrower part has an area a 5 mm The pressure drop in the artery is 96 Pa The speed of th blood in the artery will be 0 123 m s 0 246 m s 0 646 m s X 0 323 m s

Online Mock Test Series for NEET 2020 6 A mercury drop of radius 1 cm is broken into 106 droplets of equal size The work done in this process is Surface tension of mercury 0 35 N m 1 4 35 x 10 2 J 2 4 35 x 10 J 3 4 35 x 10 J 4 4 35 x 10 8 J

i To what height should a cylindrical vessel be filled with a homogeneous liquid to make the force with which the liquid presses on the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel

the iv A hollow sphere of inner radius 9 cm and outer radius 10 cm floats half submerged in a liquid of specific gravity 0 8 Calculate the density of the material of which the sphere is made What would be the density of a liquid in which the hollow sphere would just float completely submerged a 1 476 gm cm 0 4 gm cm x a

d 0 8 e 0 4 A solid sphere of volume V experiences a viscous force F when descending with a speed v in a liquid If another solid sphere of volum 27 V descends with the same speed v in th same liquid it experiences a viscous force a 12F d F c 9F b 6F e 3 F

A uniform spherical ball of mass m and radius r is dropped in liquid of coefficient of viscosity n Density of liquid is p where as density of ball is 2p The de broglie wavelength of ball when it is moving with terminal speed is 2 hnr m g 2 Find h planck s constant

1 Two soap bubble coalesce to form one bubble If decreases in volume and surface area are Vand S respectively Atmospheric pressure is P and surface tension is 7 then correct relation is 1 3P V TS 0 2 PV TS 0 3 3P V 4TS 0 4 None of these

An object of mass 200 kg is released from rest from a boat into the water and allowed to sink While gravity 1 50 is pulling the object down a buoyancy force of times the weight of the object is pushing the object up weight mg If we assume that water resistance exerts a force on the object that is proportional to the velocity of the object with proportionality constant 10 N sec m find the equation of motion of the object After how many seconds will the velocity of the object be 70 m sec Assume that the acceleration due to gravity is 9 81 m sec Find the equation of motion of the object x t

A hollow sphere of radius R is filled completely with an ideal liquid of density p Sphere is moving horizontally with an acceleration 2g where g is acceleration due to gravity in the space If minimum pressure of liquid is Po then pressure at the centre of sphere is O A P pgR B P pg R 2 2g C P pg R 5 D P PRR 5

CARLOA RET197 ALL INDIA OPEN TEST LEADER ENTHUSIAST COURSE JEE Advanced 03 02 2019 PAPER 2 In a tank filled with water a small hole is made on the side The emerging water jet falls to a distance of 0 8 m from the base as shown 1m 0 8m A As the level falls the range decreases B As the level falls the time of flight for water jet remains the same C y can be 0 8 m Dan he 02m

city ind The 17 A capillary tube of radius r is immersed in water and water rises in it to a height h The mass of the water in the capillary is 5g Another capillary tube of radius 2r is immersed in water The mass of water that will rise in this tube is 1 20 0 g 3 5 0 g Ans 4 2 2 5 g 4 10 0 g

Question A small hole is made at the bottom of the tank if total pre ssure at the bottom of the tank is 5 10 5 find the velocity of efflux Asked by 2282316 aesl id Standard XII Stream NEET Aug 2 2021 a 12 01 PM Add your responses Type Text Type your answer here OR you can upload an attachment from the option below

Q 25 A cylinder of area 300 cm and length 10 cm made of material of specific gravity 0 8 is floated in water with its axis vertical It is then pushed downward so as to be just immersed The work done by the agent who pushes the cylinder into the water is J aw 26

Find the fluid force on the vertical plate submerged in water where the dimensions b 3 and a 5 are given in meters and the weight density of water is 9800 newtons per cubic meter give answer in newtons Use the image below for reference

QU Assertion In the presence of air friction if the ball is thrown vertically upwards then time of ascent is less than time of descent Reason Force due to air friction always acts opposite to the motion o the body If both Assertion and Reason are true and reason is the correct explanation of assertio If both assertion and reason are true and Reason is not correct explanation of assertic assertion is true but reason is false Both assertion and reason are false

A spray gun is shown in the figure where a piston pushes air out of a nozzle A thin tube of uniform cross section is connected to the nozzle The other end of the tube is in a small liquid container As the piston pushes air through the nozzle the liquid from the container rises into the nozzle and is sprayed out For the spray gun shown the radii of the piston and the nozzle are 20mm and 1mm respectively The upper end of the container is open in the atmosphere If the density of air is pand that of the liquid p then for a given piston speed the rate volume per unit time at which the liquid is sprayed will be proportional to a b C Pa Pi Papi Pi V Pa d Pl

A cylindrical block of radius R height h and density ps floating in a liquid of density 2p contained in cylindrical container of radius 2R Time period of small vertical oscillations of the block is Rate this que Answer Your Attempt A 2 B 5h 6g 2 3h 2g h 2g Correct answer

Luciano measured the amount of water that evaporated over a period of time from a container holding w ounces of water where w is greater than 12 By the end of the first day the cup had lost 2 ounces of water By the end of the 7th day the cup had lost an additional 8 ounces of water By the end of the 11th day the cup had lost half of the water that remained after the 7th day Which of he following represents the remaining amount of water in punces in Luciano s container at the end of the 11th day w 2 8 W 2 A 3 C D 1 2 w 10 2 w 10 10

1 The mathematical expression of density is a Density mass volume b Density mass x volume c Density area x mass d Density volume x weight 2 Density of water in SI system is a 1000 b 100 c 10 d 1 3 If the density of object is more than water it will a Float on water b Sink in water c Neither floats nor sinks 4 Which physical quantity is measured in dyne centimetre a Torque b Moment of force c Turning effect of force d Both a and b d All of the above

33 A boat having a length of 3 metre and breadth 2 metre is floating on a lake The boat sinks by one cm when a man gets on it The mass of the man is 1 60 kg 2 62 kg 3 72 kg 4 128 kg

In a horizontal laid pipe line of uniform area of cross sec pressure falls by 18 N m between two points separated by a distar 200 m What is change in kinetic energy per kg of oil flowing at thes points Density of oil is 600 kg m 0 3 x 10 J kg O 10 8 J kg O 0 33 10 3 J kg O 3 x 10 3 J kg

In a horizontal laid pipe line of uniform area of cross section the pressure falls by 18 N m between two points separated by a distance of 200 m What is change in kinetic energy per kg of oil flowing at these points Density of oil is 600 kg m 3x10 J kg 10 8 J kg 0 33 10 J kg 3x 10 J kg 3

Ground Fig 7 12 Water falls without splashing at a rate of 0 250 L s from a height of 2 60 m into a 0 750 kg bucket on a scale If the bucket is originally empty what does the scale read 3 00 s after water starts to accumulate in it

QA vessel is filled with two different liquids of densities p and 2p respectively as shown in the figure The velocity of flow of liquid through a hole at height from bottom is B h A 2 hg h C 3hg c 3hg P 2p h 2

An airplane is flying at a standard altitude of 16000 ft with a velocity of 270 m s At a point on the wing of the airplane the velocity is 330 m s Calculate the pressure at this point in Sl units

41 Four holes A B C D are made in an empty Cans at different levels as shown in the figure The holes are closed temporarily with adhesive tapes The Can is then filled with water a What is observed when tapes are removed b Justify your answer B PC

49 A liquid is filled upto a height of 20 cm in a cylindrical vessel The speed of liquid coming out of a small hole at the bottom of the vessel is g 10 m s CO 1 2 m s 3 4 m s 2 1 m s 4 6 m s

Figure shows cone of mass 200 gm suspended by a vertical jet of water from a garden hose The flow rate is 0 2 kg sec The water rises 8m if unimpeded Find the height of the cone top surface h in m at which water strike Assume the water emerges horizontally from holes at the top of cone 00 00 0 00 h

A syringe is filled with water Its volume is 20 cm3 and cross section of its interior part is 4cm2 The syringe is held vertically such that its nozzle is at its top and its 100g piston is pressed by external agent and moves it with a constant speed The ejected water has a initial upward velocity of 2m s and cross section of the beam of water at the nozzle is Imm2 Options 1 The speed with which the piston is moving is 5 mm sec 2 O The external force acting on the piston is 42 N 3 The total work done by external agent in emptying the syringe is 0 095 J 4 The external force remains constant during the process

sa to of in 7 53 A small tube is bent in the form of a circle whose plane is vertical Equal quantities by volume of two fluids of densities p and o fill half the tube Find the angle o that the radius passing through the common surface makes with the vertical pi B M Figure 7 117 6

33 Water density p is flowing through horizontal tube of cross sectional area A with a constant speed v as shown in the figure 7 89 The magnitude of force exerted by the water on the curved corner of the tube is neglect viscous forces A 3 p4v C 2pAv P V A 770 60 Huyu Figure 7 89 B 2p4v pAv 2 D

A spherical object of mass 1 kg and radius 1 m is falling vertically downward inside a viscous liquid in a gravity free space At a certain instant the velocity of the sphere is 2 m s If the coefficient of viscosity of the liquid is N S m then velocity of ball 1 18TT will become 0 5 m s after a time Your Answer 1 1 Correct Answer Rate this question

A glass capillary tube open at both ends is dipped in water we can see that the water first rises in the tube and finally remains at rest at certain height as shown in figure If this capillary tube is cut from B then the diagram of part AB is B is the point where water level intersects the tube Question Type Single Correct Type 1 2 3 Y B B

5 In a vessel having liquid filled up to height h a small hole is made at its bottom The velocity of liquid coming out of hole 1 Is proportional to h 2 Is proportional to density of mercury 3 Is proportional to area of cross section of hole 4 Is proportional to h 2

pressure exerted by the elephant on the bridge Given acceleration due to gravity is 9 8 m s d A hydraulic jack is used to lift a car of mass 1032 kg The lift piston has a radius of 25 cm What is the pressure exerted on the piston Given acceleration due to gravity is 9 8 m s e A swimming pool has a length of 30 m and a breadth of 10 m Water is filled the tanku 3144

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 SE 4 SX WIR 1 1 2 3 YIS 3 2 1 SE 2 27 13 1 4 1 2

2 20 In a hydraulic press there is a larger piston of diameter 35 cm at a height of 1 5 m relative to the smaller piston of diameter 10 cm A 20 kg mass is loaded on the smaller piston Density of oil in the press is 750 kg m The thrust on the load by the larger piston is SATA 1 1 1 10 N 3 1 1 10 N 1 5 m 20 kg BARA 2 1 3 10 N 4 1 3 10 N

und by n 33 The liquids shown in figure in the two arms are mercury specific gravity 13 6 and water If the difference of heights of the mercury columns is 2 cm What will be the height h of the water column a 27 cm A3 b 30 cm B 2 cm 40 cm d 47 cm

34 A water drop of radius 10 2m is broken into 1000 equal droplets Calculate the gain in surface energy Surface tension of water is 0 075 N m b 9 5x10 4 J d None of these a 8 5 104 J c 10 10 4 J

To demonstrate Bernoulli s principle an instructor arranges two circular horizontal plates of radii b each with distance d d b between them see figure The upper plate has a hole of radius a in the middle On blowing air at a speed v through the hole so that the flow rate of air is ra v it is seen that the lower plate does not fall If the density of air is p the upward force on the lower plate is well approximated by the formula assume that the region with r a does not contribute to the upward force and the speed of air at the edges is negligible take a b A C v 4d apvid In a In a B v b 4d In a 27pa n D d

Q 1 Two non mixing liquids of densities P and np n 1 are put in a container The height of each liquids is h A solid cylinder of length L and density d is put in this container The cylinder floats with its axis vertical and length pL p 1 in the denser liquids The density d is equal to Option 1 1 n 1 p p Option 2 2 n 1 p p Option 3 2 n 1 p p Option 4 1 n 1 p p Correct Answer 1 n 1 p p Colution tnquilibrium weight of cylinder Force of Buoyancy