Fluids Questions and Answers

Two sound waves one in air and the other in fresh water are equal in intensity a Find the ratio of pressure amplitude of the wave in water to that of the wave in air b If the pressure amplitudes of the waves are equal then what will be the ratio of the intensities of the waves V sound 340m s in air density of air 1 25kg m Vsound 1530m s in water density of water 1000kg m

A cubical block of side 10 cm of wood is floating in water oil interface such that density of water is 1 g cm and density of oil is 0 5 g cm If density of wood is 0 7 g cm find the length of wood inside oil 1 4 cm 3 6 cm Water 2 5 cm 4 7 cm

With her advanced education Angela decides to become a nuclear engineer for the U S Navy and is currently on a submarine off the coast of North Korea If the pressure of the water outside of Angela s submarine is 32 atm how deep is her submarine the density of sea water is 1 025 kg m 3 277 2 m 311 7 m 117 6 m

A piece of aluminum has density 2 70 g cm3 and mass 775 g The aluminum is submerged in a container of oil of density 0 650 g cm A spring balance is attached with string to the piece of aluminum What reading will the balance register in grams g for the submerged metal O 775 g 960 g 588 g 190 g

A cube of iron and a cube of wood each having a volume of V 2 65 x 10 4 m3 are each placed in a large beaker of water The density of the wood is Pwood 3 73 x 102 kg m and the density of the iron is Piron 7 86 x 10 kg m Calculate the buoyant force on each The cube of wood is allowed to float at the surface Biron B wood N N

11 12 4 points In a hydraulic system an input piston has an area of 22 0 in and an output piston with an area 70 6 in A weight or resistance of 150 pounds is on the output piston What is the pressure 5 261 psi 1 445 psi 2 12 psi 792 3 psi 4 points A hydraulic advantage 8 0 5 89 7 16 13 2 tem has two pistons Input force on one piston is 15 8 lb and the other piston can lift a weight of 93 lb What is the mechanical

Water is hard to compress as its bulk modulus is 2 0 x 109 pascals If a volume of water is subjected to a pressure Encrease of 150 pascals and its initial volume is 480 cubic meters a What will be the fractional decrease in the volume b What would be the change in volume

Imagine holding two identical bricks in place under water Brick 1 is just beneath the surface of the water while brick 2 is held about 2 feet down The force needed to hold brick 2 in place is 1 2 a greater b the same c smaller d depends on the water

A rectangular tank of mass m and charge Q is placed over a smooth horizontal floor A horizontal electric field E exist in the region Rain drops are falling vertically in the tank at the constant rate of n drops per second Mass of each drop is m Find velocity of tank as function of time

A tensile force F is applied on all six surfaces of a cube of side unity then increase in length of each side will be Y RPMT 2010 Pieson ratio young measurement o 1 F Y 1 0 2 F Y 1 0 3 F 1 20 Y F 4 Y 1 20 will have the largest extension when the sam

Pw 7 25 A large block of ice cuboid of edge length 7 and density Pice 0 9 Pw has a large vertical hole along its axis This block is floating in a lake Find out the length of the rope required to raise a bucket of water through the hole A 1 2 B 1 4 C 1 8 D 1 10

uniform tube If speed of liquid at end 1 is 20 m s then speed at end 2 is v 20 m s R 4 cm end 1 1 3 9 m s 3 8 9 m s K R 6 cm end 2 2 6 9 m s 4 12 9 m s

a A 7 22 A vessel contains oil density 0 8 gm cm over mercury density 13 6 gm cm A uniform sphere floats with half its volume immersed in mercury and the other half in oil The density of the material of sphere in gm cm is A 3 3 C 7 2 B 6 4 D 12 8

The water is flowing through a tapering pipe having diameter 300 mm and 150 mm at section 1 and 2 respectively The discharge through the pipe is 40 litres sec The section 1 is 10 m above datum and section 2 is 6 m above datum Find the intensity of pressure at section 2 if that at section 1 is 400 kN m

differential c Fig below shows a U tube manometer connecting two pressure pipes at A Yand B The pipe A contains a liquid of specific gravity 1 6 under a pressure of 110 kN m The pipe B contains oil of specific gravity 0 8 under a pressure of 200 kN m Find the difference of pressure measured by mercury as fluid filling U tube Prin 10 for fut 1 fuis ilan Da FATE T yak X 555 1 0 m 2 6 m fem fen put to st 5 12 fors by th 202

A horizontal venturimeter with inlet diameter 200 mm and throat diameter 100 mm is employed to measure the flow of water The reading of the 100 differential manometer connected to the inlet is 180 mm of mercury If the co efficient of discharge is 0 98 determine the rate of flow 10 Rice

6 The area of cross section of the two vertical arms of a hydraulic press are 1 cm and 10 cm respectively A force of 10 N applied as shown in the figure to a tight fitting light piston in the thinner arm balances a force F applied to the corresponding piston in the thicker arm Assuming that the levels of water in both the arms are the same we can conclude 10N vertical F applied vertically 1 F 100 N 2 F 50 N Vater Q 96 3 F 25 N 4 F as applied cannot balance the effect of the force on the first piston 7 A particle executes simple harmonic motion Q 97 gif arguter and 10 H fu la 1 F 100 N 2 F 50 N 3 F 25 N 4 for 1 cm 10 cm 1 ziyar vacht auch you fe you fe Fagf F ren fa atat gunait 84 PA PA ION vertical fa fe Trade den applied vertically

for turbulent flow past a flat plate when no form drag is present the friction factor f and the chilton colburn factor jd are related as O f and jd cannot be related Of is equal to jd Of is greater than jd

2 141 Two raindrops of different radii and having Q 141 fm i en farm V different terminal velocities V and V respectively are falling through air having same density If the drops merged and become one without change in temperature the new terminal velocity is 1 V V v 212 3 2 V V V 1 2 3 V V V 3 2 4 v v fefe e fa un any tarde at da 1 V v V 21 2 V V V 2 3 V V V 4 V 13 2

bmerged at height Neglect Find the ter to a 7 40 A uniform rod of length b capable of tuning about its end which is out of water rests inclined to the vertical If its specific gravity is 5 9 find the length immersed in water 0 Figure 7 110

on a At ong 7 16 A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right Pressure is i maximum at and ii minimum at A i B ii D C i B ii C A B D C Figure 7 71 B i C ii D D i B ii A a

7 A wind with speed 40 m s blows parallel to the roof of a house The area of the roof is 250 m Assuming that the pressure inside the house is atmospheric pressure the force exerted by the wind on the roof and the direction of the force will be Pair 1 2 kg m a 2 4 x 105 N upwards b 2 4 x 105 N downwards c 48 x 105

A cubical box is completely filled with liquid of mass m and is given a horizontal acceleration a ignore atmospheric pressure Ich dacht dat c m 4a a gufa Ha auf zu a f a Myzuzmu Ag D A ADHE is B BCGF is D E C ABFE The force due to the liquid on the face mg ma 2 ADHEz za crzu da ma Correct Answer The force due to the liquid on the face mg 2 BCGFz za cru d Correct Answer The force on ABFE is ma F Correct Answer The force on DCGH is mg 2 a mg 2 ma 2 ma ma

7 28 A circular cylinder of height h 10 cm and radius r 2 cm is opened at the top and filled with liquid It is rotated about its vertical axis Determine the speed of rotation so that half the area of the bottom gets exposed g 10 m sec A 25 rad s B 50 rad s D 200 rad s C 100 rad s

and its 7 8 A large open tank has two holes in the wall One is a square hole of side L at a depth y from the top and the other is a circular very hole of radius R at a depth 4y from the top When the tank is completely filled with water the quantities of water flowing out per second from both holes are the same Find the value of R

Question 21 A rod of cross sectional area A is floating as shown in figure below The density of liquid A is p that of liquid B is p2 and that of the body is po Find the buoyant force on the rod due to liquid A and liquid B A B h2

A cylinder of density d is floating with th of its volume inside a liquid A of density d and the remaining in a liquid B of density d Then d cd i lc i d ica i l A UR A R I a su math 34 34 43 am 20 mn d uaca a B 21 a 4 A B C d d Your Answer 4d d 3d Correct Answer Your Answer 3d 4d d

1 53 3 E E 2 4 E E Ideal liquid is flowing through the tube of Q 53 uniform cross section The liquid has velocities v and v and pressure P and P at vertically separated points X and Y respectively then I 3 E za af X 17 1 V V P P 3 V V P P 4 E E P geraa V2 1 V V P P 2 V V P P 4 V V P P 3 v V P P 1 54 A man standing on a rail road car throws a 0 54 Rf 20 m s 2 V V2 P P 4 V V P P

A cylindrical tank of height 0 4 m is open at the top and has a diameter 0 16 m Water is filled in it up to a height of 0 16 m How long it will take to empty the tank through a hole of radius 3 5x10 m at its bottom 46 26 sec 4 6 sec 462 6 sec

Air at standard atmospheric condition flows through a pipe at a velocity of spoint 20 m s which then narrows down to smaller size The velocity at the throat becomes 45 m s What is the difference between the pressures at two points O 490 Pa O995 Pa O 1179 Pa O 1065 Pa O 1197 Pa O 987 Pa

A rod of length 6 m has specific gravity p 25 36 One end of the rod is tied to 5 m long rope which in turn is tied to the floor of a pool 10 m deep Find the length of the part of rod which is out of water 6 m ai v chi 34fic i7cd p 25 36 1 A 5 m 39 10 167 ya ef de 1 03 HI H az d na Mfg j ja ge 10 m 5 m

EXPLAIN THE CONCEPT THE FORMULA AND THE REASON FOR APPLYING IT HERE PLS EXPLAIN IN DETAIL 22 Air density p is being blown o 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 flim due to the air blown at speed v is pv the speed at which the bubble is formed is T A B PR 2T PR 4T VPR D 8T PR

A capillary tube of radius r is mounted vertically with its bottom end inside water The surface tension of water is o and its density is p Inside the capillary tube water rises up to a height h Then Auch fichi afachi Gefuz 54 faz ay zuh Aza Au ja 362 I GA CI 48 fich fach A Potential energy of liquid column is 2 Tr h pg a z Kuldu Gf 1 2 r h s ach zda si C B The work done by surface tension of 4 2 water is pg D TT pg Correct Answer Your Answer o Correct Answer futu Your Answer Work done by gravity is 22 pg 4 pg 20 pg 2 Quantity of heat liberated 22 pg A ma 2 O

solid sphere of radius r and density po is Id inside a liquid of density 3po with the Ip of a string whose other end is fixed to e bottom of the container Now the ntainer is accelerated horizontally wards right with acceleration Then in e stable position of the sphere ou du pa 3 yg du na s y 34 ch ych za h zigz ZU GA 4 i CHRI fHRIU17 a i i 35 115 2011 qd 3 z Af u su aka fhu la 2 MA A KUR KA 3L The string is tilted towards right with the ertical AREER 3 33 Correct Answer 3L The string is tilted towards left with the ertical Refer 3 The tension in the string is 17 Pog 7 og 3 Correct Answer 17 r 0 Force by the liquid on the sphere is

An open vessel whose bottom has round hole of diameter 0 1 mm is filled with water The maximum height upto which water can be filled without leakage is Surface tension of water is 0 075 N m 1 30 cm 2 50 cm 3 75 cm 4 100 cm In the given diagram shown all three rods are of equal

Diameter of sphere 1 9 cm 0 45 Radius of sphere 0 95 cm 0 025 Mass of sphere 28 236 g 0 003 Length of sphere diameter 1 9cm 0 019m Density of water 1000kg m Viscosity of 40 sucrose water at 23 C temp is 5 7x10 3Pa s 6 22 3 1 82 10 6 22 0 546 5 7 x 10 Pa Terminal Velocity 64 5cm s 0 645m s Question What is the Reynold s number Re and its uncertainty for this experiment

3 A large open tank has two holes in the wall One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same Then R is equal to 1 2T L 3 L 2 4 L 2 L

B 300K 400K Vapour pressure of liquid at 300 K is 20 mm of Hg and 400 K is 40 mm of Hg Very long time after opening the stopper the total pressure will be 1 20 mm of Hg 2 40 mm of Hg 3 30 mm of Hg 4 50 mm of Hg

12 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 5mm The pressure drop in the artery is 96 Pa The speed of the blood in the artery will be 1 0 123 m s 2 0 246 m s 3 0 646 m s 4 0 323 m s

Q15 A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity If P r is the pressure at r r R then the correct option s is are 2015 A P r 0 0 P r 3R 5 P r 2R 5 21 16 63 P r 3R 4 P r 2R 3 80 P r R 2 20 27 D P r R 3

Q33 A wooden stick of length L radius R and den sity p has a small metal piece of mass m of negligible volume attached to its one end Find the minimum value for the mass m in terms of given parameters that would make the stick float vertically in equilib rium in a liquid of density o p 1999

the top er is 18 A hollow cylinder of mass m made heavy at its bottom is floating vertically in water It is tilted from its vertical position through an angle and is left The respecting force acting on it is 1 mg cos 0 3 mg cos e 2 mg COS e 4 mg 1 cos e

Q1 A thin uniform cylindrical shell closed at both ends is partially filled with water It is floating ver tically in water in half submerged state If pe is the Pc relative density of the material of the shell with respect to water then the correct statement is that the shell is 2012 A more than half filled if pc is less than 0 5 B more than half filled if pe is more than 1 0 C half filled if pe is more than 0 5 D less than half filled if pe is less than 0 5

Q5 A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R The vol ume of the remaining cylinder is V and mass M It is suspended by a string in a liquid of density p where it stays vertical The upper surface of the cylinder is at a depth h below the liquid surface The force on the bottom of the cylinder by the liquid is 2001 A Mg 100 2R B Mg Vpg DA

18 Two small drops of mercury each of radius coalesce to form a single large drop The ratio the total surface energies before and after change is 1 1 21 3 2 7 88 19 10 270 R 2 213 1 283 3 2 1 4 1 2 2 3 R

A solid cylinder radius 0 150 m height 0 120 m has a mass of 7 00 kg This cylinder is floating in water Then oil of density 725 kg is poured on top of m the water until the situation shown in the drawing results How much of the height of the cylinder is in the oil Oil Water

iroda 7 A ball falling in a lake of 200 m shows a decrease of 0 1 in its volume at the base of the lake The bulk modulus of elasticity of the material of the ball is take g 10 m s 1 10 N m 3 3 x 10 N m 2 2 10 N m 4 4 10 N m

A small ball is left in a viscous liquid in a tall container from large height Correct graph of its speed with time is Assume clock starts when ball hits the liquid surface 1 Question Type Single Correct Type 2 A Speed B time B A D

9 What is the velocity v of a metallic ball of radius r falling in a tank of liquid at the instant when its acceleration is one half that of a freely falling body The densities of metal and of liquid are p and o respectively and the viscosity coefficient of the liquid is n r 8 1 p 20 2 9n 3 2 2 g 9n p 2 reg 9m 2p o A0 4 2r 8 9n p

Force on a Tube ejecting a Liquid Figure shows a tank of which side wall is having an attached narrowing tube of which cross sectional area decreases from S to S Find the horizontal force acting on tube due to ejection of liquid