Fluids Questions and Answers

Two pieces of metal when immersed in liquid completely have equal upthrust on them Then A Both pieces have equal weight in air C Both pieces have equal density S B Both pieces have equal volumes D Both are floated to the same depth is found that the loss of weight of each bo

36 A stream of water flowing horizontally with a speed of 15 m s gushes out of a tube of cross sectional area 10 2 m and hits a vertical wall normally Assuming that it does not rebound from the wall the force exerted on the wall by the impact of water is a 1 25 x 10 N b 2 25 x 10 N c 3 25 x 10 N d 4 25 x 10 N

2 Hig 1 Then t is equal to 3 2FF 3g 33 When a hole is made in the side of a container holding water water flows out and follows a parabolic trajectory If a hole is made in the side of the container and the container is dropped in free fall just before the water starts coming out the water flow neglect effect of surface tension 1 Diminishes 3 Goes out in a straight line 34 A concrete spher rest at a height H R above the earth s surface and 2 Stops altogether 4 Curves upward

A solid sphere of volume V and density p floats at the interface of two immiscible liquids of densities p and p respectively If p p p then the ratio of volume of the parts of the sphere in upper and lower liquids is 1 2 1 3 P P P P P P2 P P 2 4 P P P P P1 P p

17 A wooden ball of density D is immersed in water of density d to a depth h below the surface of water and then released Upto what height will the ball jump out of water dn 1 3 h 2 1 4 Zero 17633156

mv The U tube in fig of uniform cross section 1 cm2 contains mercury to the depth shown The barometric pressure is 75 cm of mercury The left side of the tube is now closed at the top and the right side is connected to a good vacuum pump How far in cm does the mercury level fall in the left side The temperature remains constant h b Sem Hirove Soun press I four 50 cm 50 cm 750 top 81 5 50 275 1mm Hg The ator lamecting he h 75 hat he 100 the 195

D More Information is needed to decide 10 Water is being poured in a vessel at a constant rate of m s There is a small hole of area a at the bottom of the tank The maximum level of water in the vessel is proportional to A a B O C m F Da

A spherical solid ball of volume V is made of a material of density p It is falling through a liquid of density p P2P Assume that the liquid applies a viscous force on the ball such that F kv then the terminal speed of the ball is 1 2 3 Vg P P k Vg P P k Vp g k

Two solid pieces one of steel and the other of aluminium when immersed completely in water have equal weights When the solid pieces are weighed in air 1 The weight of aluminium is half the weight of steel 2 Steel peice will weigh more 3 They have the same weight LAX Aluminium pieco will weigh more

The rate of flow of glycerin of density p through conical section of a pipe if the area of cross sectional of its ends are A and A and pressure drop across its length be AP is given by A A A 2AP B A A 2 P A A C AP P A A 2AP 2 VP A A D A A 2 2AP 3p A A

2 A rod is of length 6 m and of specific gravity p 25 36 One end of the rod is tied to a 5 m long light rope which in turn is tied to the floor of a pool 10 m deep as shown Find the length of the part of rod in metres which is out of water 10m 5m A

A block is connected to a light string attached to the bottom of a large container of water The tension in the string is 30 N and the mass of the block is 5 kg What is the volume of the block water O 0 008 m O 0 08 m O 0 8 m O 8 0 m 4 block string

At 35 C the vapour pressure of CS is 512 mm Hg and that of acetone is 344 mm Hg A solution of CS in acetone has a total vapour pressure of 600 mm Hg The false statement amongst the following is 1 A mixture of 100 mL CS2 and 100 ml acetone has a volume 200 mL 2 Roult s law is not obeyed by this system 3 CS and acetone are less attracted to each other than to themselves 4 Heat must be absorbed in order to produce the solution at 35 C 1

Expre Oil enters the bend of a pipe in the horizontal plane with velocity 4 ms and pressure 280 10 Nm 2 as shown in the figure Find the pressure of oil at the point Q in KNm2 Take specific gravity of oil as 0 9 and sin 37 0 6 A 0 2m v 4ms P 37 1 A

2 If terminal speed of a sphere of gold p 19 5 kg m is 2 m s in a viscous liquid p 11 5 kg m then the terminal speed of a sphere of silver p 15 5 kg m of same size in same liquid is 1 2 m s 2 1 m s 3 4 m s 4 5 m s

A liquid of density p is filled in a cubical container OABCDEFG The point O is assumed to be origin A small ball of density po is kept at bbb 222 as shown in figure and an acceleration 2gi gi is given to container Uniform gravity exists along negative y axis Now choose the correct option s A B C D If p po then acceleration of small ball is 5g If p 2po then small ball will hit the mid of edge GF If p 3po then small ball will hit the mid of edge GF If p po then net force on the small ball is zero D C E 01 of the particles at antinoc b B G A X

5 7 Given sea level standard day conditions a wind tunnel has an inlet area of 105 n2 and a test section area of 2 7 2 This allows the air that goes through the inst ist 650 to accelerate to 2 950 ft s in the test section What is the density in the test section 1 93 x 103 slugm b204 x 103 slugm C 2 38 x 10 slug It is not possible to calculate the density in the test section with the given information ed

A square gate of size 1 mx 1 m is hinged at its mid point A fluid of density p fills the space to the left of the gate The force Frequired to hold the gate stationary is pg 3 B 1 2 pg BUKO BANNAD ARRANGERED P www TO INICACATAN START Hinge F C pg 6 D none of these

A glass tube of uniform internal radius r has a valve separating the two identical ends Initially the valve is in a tightly closed position End 1 has a hemispherical soap bubble of radius r End 2 has sub hemispherical soap bubble as shown in figure Just after opening the valve IIT JEE 2008 WB JEE 2013 2 H 1945 1 a Air from end 1 flows towards end 2 No change in the volume of the soap bubbles b Air from end 1 flows towards end 2 Volume of the soap bubble at end 1 decreases c No change occurs d Air from end 2 flows towards end 1 Volume of the soap bubble at end 1 increases

Ice pieces are floating in a beaker A containing wate and also in a beaker B containing miscible liquid c specific gravity 1 2 When ice melts the level of 1 Water increases in A 2 Water decreases in A 3 Liquid in B decreases 4 Liquid in B increases

In the figure shown the heavy cylinder radius m kept on a smooth surface separates two liquids of densities 2p and 3p The height h in meter for the translational equilibrium of the cylinder must be 2p R

If it takes 5 minutes to fill a 15 litre bucket 2 from a water tap of diameter TT the Reynolds number for the flow is density of water 103 kg m and viscosity of water 10 3 Pa s close to 1 5500 2 11 000 3 550 4 1100 cm then

21 The lower end of a capillary tube is dipped in water Water rises upto height 10 cm The tube is broken upto 8 cm Then new angle of contact will be 1 53 3 30 2 37 4 0

1 Bernoulli s Equation in Scalar Form Assume no viscous effects 25 Points The siphon is used to draw water from a large open tank The diameter of the tube is 50 mm Given p 1000 ks for water A For L 8 m determine the velocity of the water at C 10 points 8 Determine the pressure at 8 Pa 15 points 0 5m D

Relative density of a metal may be found with the help of spring balance In air the spring balance reads 5 00 0 05 N and in water it reads 4 00 0 05 N Then the relative density along with the maximum permissible percentage error would be a 5 00 0 05 c 5 00 010 b 5 00 11 d 5 00 60

In the figure shown the total height of the floating cylinder is 10 cm and its cross sectional area is 10 cm The cross sectional area of the beaker is 20 cm The uppermost liquid has a density 1 g cc the middle 2 g cc and the lowest 3 g cc The three liquids are immiscible The heights indicated in the figure are at equilibrium Find the angular frequency in rad sec of up down oscillations of the cylinder assuming small amplitude Neglect viscosity and surface tension Given g 9 8 m s al wif g f 98 DX 10 x 101 10 2V1X10 6x2981 2x3g G P lo wit ofly out of cyber 12cm 6cm 2cm 1 of 100 0 1 2 12 6 20 DE 1

11 A cube of edge length 10 cm is just balanced at the interface of two liquids A and B as shown in figure If A and B has specific gravity 0 6 and 0 4 respectively then mass of cube is 4 Zero

A cube of edge length 10 cm is just balanced at the interface of two liquids A and B as shown in figure If A and B has specific gravity 0 6 and 0 4 respectively then mass of cube is 20 4 Zero

3 An air bubble of 20 cm volume is at the bottom of a lake 40 m deep where the temperature is 4 C The bubble rises to the surface which is at a temperature of 20 C Take the temperature to be the same as that of the surrounding water and find its volume just before it reaches the surface

III MATCH THE COLUMN A cubical box is completely filled with mass m of a liquid and is given horizontal acceleration as shown in the figure Match the force due to fluid pressure on the faces of the cube with their appropria values assume zero pressure as minimum pressure E Column I A force on face ABFE B force on face BFHD q C force on face ACGE D force on face CGHD gal A C G O B D D F a H Column II p q ma 2 mg 2 ma mg 2 2 r ma s mg 2 mg

A hemispherical bowl of radius R is completely filled with liquid of density d Atmospheric pressure is Po Pressure at centre of mass of the liquid is R 2 Rdg A Podg D Po 3 The vertically down wards component of the pressure force applied by liquid on the half side curved wall of the hemisphere is A 3 Rdg R2 A Po Rdg 31 3R B Po TR 2 7t TR TR C Po B 3P 2Rdg 2 The pressure force which the liquid exerts on half curved side wall of the hemisphere has a horizontal component equal to 3 Rdg 8 0 C 2 Rdg R2 T B 4 Rdg 2R dg 3 D None of these

2 When an aqueous solution freezes A B C D Usually it is the solute that solidifies first The solvent and the solute solidify at the same time It is the water that solidifies first The vapour pressure of the solvent becomes abnormally high

A cylindrical flask has a mass of 12 g when empty When it is filled with water its mass is 93 g and when it is filled with vegetable oil its mass is 60 g Determine the density of the oil Round your answer to 0 decimal places

When a skydiver free falls from an airplane her downward velocity in feet per second is given as v t 240 1 0 85 where t is the number of seconds since the jump a b 4 Points Determine how long it takes the jumper to reach a velocity within 1 foot second of the terminal velocity Round to the nearest tenth of a second

14 6 Points DETAILS HINT A 24 4 kg iron mass rests on the bottom of a pool The density of iron is 7 86 x 103 kg m and the density of water is 1 00 x 103 kg m SERCP11 9 5 P 018 a What is the volume of the iron in m m3 m b What buoyant force acts on the iron in N Enter the magnitude N c Find the iron s weight in N Enter the magnitude N

Water flows through a garden hose at 178 cm s It fills a 20 0 liter bucket 1 liter 1000 cm with water in a total time of 45 0 seconds What is the cross sectional area of the hose 4 01 cm 0 025 cm2 2 50 cm 5 06 cm

Water flows through a pipe with decreasing cross sectional area Which one of the following statements is true The speed of the water remains constant while its pressure increases The speed of the water increases while its pressure remains constant O The speed of the water increases while its pressure decreases The speed of the water decreases while its pressure increases

5 5 N 1 2 3 0 N 01 TWO IDENTICAL OBJECTS ARE WEIGHED ONE IN THE AIR AND ONE UNDER WATER p 1 000 KG M A WHAT IS THE BUOYANT FORCE ON THE SECOND MASS B WHAT IS THE VOLUME OF DISPLACED LIQUID C WHAT IS THE DENSITY OF THE METAL D WHAT WOULD BE THE NEW SCALE READING IF THE OBJECT WAS IMMERSED IN OIL p 920 KG M

A 61 0 kg man lies on his back on a bed of nails with 1 204 of the nails in contact with his body The end of each nail has area 1 15 x 10 6 m What average pressure is exerted by each nail on the man s body Pa

Water flowing through a garden hose of diameter 2 78 cm fills a 20 0 L bucket in 1 45 min a What is the speed of the water leaving the end of the hose m s b A nozzle is now attached to the end of the hose If the nozzle diameter is one third the diameter of the hose what is the speed of the water leaving the m s

An hydraulic press has an input piston of area 24 in If the output piston has an area of 110 in2 how much input force is required to lift a car of 3500 lbs 1600 lbs 71 lbs 760 lbs 16 000 lbs

At a Wawa fill station the air in a truck tire is measured to have a pressure of 80 0 psi If the total area of the tire s sidewalls is 1200 in2 what is the gauge pressure in the tires 110 000 psi 94 7 psi 18 000 psi 80 0 psi

Three column barometers are built One uses glycerin one uses freshwater and one uses seawater If all three are measured side by side and at the same time in which will the column be tallest The glycerin barometer The freshwater barometer The seawater barometer They all have the same height

A hollow ball with a diameter of 3 79 cm has an average density of 0 0837 g cm What force must be applied to hold it stationary while it is completely submerged under water Enter the magnitude in N and select the direction from the options given magnitude direction Select N

A 2 5 kg plastic tank that has a volume of 0 2 m is filled with liquid water Assuming the density of water is 1000 kg m determine the weight of the combined system

3 attempts left SG Check my work A sample of the mineral halite measures 17 49 cm long by 16 83 cm wide by 15 35 cm high and has a mass of 9 774 53 g What is its specific gravity The cleavage of halite causes it to break into a rectangular solid

In a viscous fluid flowing vertically upward through a uniform pipe of length L the difference in fluid pressure between the top and bottom of the pipe is AP pgL 8 LQ R4 If the fluid were flowing vertically downward would the pressure difference be greater than less than or equal to pgL 8 LQ R4 greater than less than equal to

Three blocks with identical sizes and hanging from strings are submerged in water block A is half submerged and blocks B and C are fully submerged The blocks are all at rest and the strings are all taut they have non zero tension The masses of the blocks are A 20 g B 20 g C 20 g Which block has the largest tension force If two or more blocks are tied for the largest tension force you must select all of them B

7 A liquid p 1 65 g cm flows through two horizontal sections of tubing joined end to end In the first section the cross sectional area is 10 0 cm the flow speed is 255 cm s and the pressure is 1 20 x 105 Pa In the second section the cross sectional area is 4 50 cm a Calculate the smaller section s flow speed b Calculate the smaller section s pressure P

The Mariana trench is located in the floor of the Pacific Ocean at a depth of about 12000 m below the surface of the water density of seawater is 1025 kg m a If an underwater vehicle were to explore such a depth what force would the water exert on the vehicle s observation window radius 0 14 m N b For comparison determine the weight of a jetliner whose mass is 1 00 x 105 kg N