Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q5. If pressure at half the depth of a lake is equal to 2/3rd the pressure at the bottom of the lake, then the Q1. An airplane of a total wing area of 120 m is in depth of the lake is: a level flight at some height. If the pressure difference 1. 10m between the upper and lower surface is 2.5 kPa, then the 2. 20m 3. 60m mass of the airplane is: [Take g = 10 ms ] 4. 30m 1. 2 x 10 kg Pressure - Level I 2 −2 3 2. 3 x 10 3. 5 x 10 4. 7 x 10 4 4 7 kg kg kg Q2. From the adjacent figure, the correct observation is: 1. Pressure at the bottom of the tank (a) is greater than at the bottom of the tank (b). 2. Pressure at the bottom of the tank (a) is lesser than at the bottom of (b). 3. Pressure depends upon the shape of the container. 4. Pressure at the bottom of (a) and (b) are the same. Q6. The area of cross-section of the wider tube shown in the figure is 800 cm . If a mass of 12 kg is placed on the massless piston, then the difference in heights h of the levels of water in the two tubes will be: 2 1. 10 cm 2. 6 cm 3. 15 cm 4. 2 cm Q7. The value of g at a place decreases by 2%. Then, the barometric height of mercury: Q3. A liquid is poured into three vessels of the 1. increases by 2%. same base area and equal heights as shown in the figure, 2. decreases by 2%. then: 3. remains unchanged. 4. sometimes increases and sometimes decreases. Q8. The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. The ratio of density of mercury to that of air is 10 . The height of the hill is: 1. 250 m 2. 2.5 km 3. 1.25 km 4. 750 m 4 1. Maximum force on the base will be for vessel C 2. Maximum force on the base will be for vessel B 3. Maximum force on the base will be for vessel A 4. Force on the base will be equal for all the vessels Q4. A diver is 10 m below the surface of water. The approximate pressure experienced by the diver is1. 105 Pa 2. 2 × 105 Pa 3. 3 × 105 Pa 4. 4 ×105 Pa Page: 1 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q9. A siphon in use is demonstrated in the following figure. The density of the liquid flowing in the siphon is 1.5 gm/cc. The pressure difference between the point P and S will be: Q11. An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm3 of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be: (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm3) 1. 350 cm3 2. 300 cm3 3. 250 cm3 4. 22 cm3 Q12. A barometer kept in a stationary elevator reads 76 cm. If the elevator starts accelerating up, the reading will be: 1. zero. 2. equal to 76 cm. 3. more than 76 cm. 4. less than 76 cm. 1. 10 N/m 2. 2 × 10 N/m 3. Zero 4. Infinity 5 5 Q13. There are four cylindrical vessels identical in dimensions. If these are filled with equal masses of Q10. A vertical U-tube of uniform inner cross section, four different liquids P, Q, R, and S such that their contains mercury in both its arms. A glycerin (density = densities are ρ > ρ > ρ > ρ , then pressure at 1.3 g/cm ) column of length 10 cm is introduced into the base of vessel will be: one of its arms. Oil of density 0.8 gm/cm is poured into 1. P = P = P = P the other arm until the upper surfaces of the oil and 2. P > P > P > P glycerin are at the same horizontal level. Find the length 3. P < P < P < P 4. Data is insufficient to predict the relation of the oil column. [Density of mercury = 13.6 g/cm ] p Q R S 3 3 p Q R S p Q R S p Q R S 3 Pressure - Level II Q14. A mercury-filled U–tube arrangement is connected to a bulb containing a gas. Atmospheric pressure is 1.012 × 105 Pa and H = 0.05 m. Gauge pressure at R is? 1. 10.4 cm 2. 8.2 cm 3. 7.2 cm 4. 9.6 cm 1. Nil 2. 6.56 × 103 Pa 3. 1.08 × 105 Pa 4. pressure at R, Q, and inside the bulb are the same. Page: 2 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q15. A U tube is partially filled with water. Oil which is immiscible in water is poured into one side until the water rises by 25 cm on the other side. If the oil level is 12.5 cm higher than the water level, then the relative density of the oil is: 1. 0.3 2. 0.5 3. 0.8 4. 1.2 Q19. A tank is filled with water upto a height h and the pressure at the bottom of the tank is 3P where P is the atmospheric pressure. The height of a point from the bottom of the tank where pressure is is11P 5 1. 2h 2. 3h 5 5 4h 3. 4. None of these 5 Q16. A triangular lamina of area A and height h is Types of Flows - Level I immersed in a liquid of density ρ in a vertical plane with its base on the surface of the liquid. The thrust on the Q20. Which of the following diagrams does not lamina is: represent a streamline flow? 1. Aρgh 1 2 2. 1 3. 1 4. 2 3 6 3 Aρgh Aρgh Aρgh Q17. The heart of a man pumps 5L of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury is 13.6 × 10 kg/m3 and g =10 m/s2, then the power of heart in watt is: 1. 1.70 2. 2.35 3. 3.0 4. 1.50 3 Q18. A liquid is filled in a container as shown in the figure. The force exerted by the liquid on the base of the container must be: Q21. When a large bubble rises from the bottom of a lake to the surface, its radius doubles. The atmospheric pressure is equal to that of a column of water of height H. The depth of the lake is: 1. H 2. 2H 3. 7H 4. 8H Properties of Fluids - Level I Q22. Three liquids of densities d, 2d and 3d are mixed in equal proportions of weights. The relative density of the mixture is: 1. 11d 7 1. Equal to the weight of the liquid 2. More than the weight of the liquid 3. Less than the weight of the liquid 4. More or less than the weight of the liquid 2. 18d 3. 13d 4. 23d 11 9 18 Archimedes' Principle - Level I Q23. An iceberg of density 900 kg/m is floating in water of density 1000 Kg/m . The percentage of volume of ice-cube outside the water is: 1. 20% 2. 35% 3. 10% 4. 25% 3 3 Page: 3 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q24. If two iron balls when fully immersed in water experience thrust force in the ratio of 1:2, then the ratio of the masses of the balls will be: 1. 1: 1 2. 1: 2 3. 2: 1 4. 1: 4 Q25. When a man sits on a boat of length 2 m and breadth 1 m floating on a lake, the boat sinks by 2 cm. The mass of the man is: 1. 25 kg 2. 40 kg 3. 60 kg 4. 80 kg Q30. Two non-mixing liquids of densities ρ and nρ (n>1) are put in a container. The height of each liquid is h. A solid cylinder floats with its axis vertical and length pL (p < 1) in the denser liquid. The density of the cylinder is d. The density d is equal to: 1. {2+(n+1)p}ρ 2. {2+(n-1)p}ρ 3. {1+(n-1)p}ρ 4. {1+(n+1)p}ρ Q31. If two pieces of metal when immersed in a liquid have equal upthrust on them, then: 1. Both pieces must have equal weights 2. Both pieces must have equal densities 3. Both pieces must have equal volumes 4. Both are floating in the same depth Q26. A body of density 0.7 gm/cm floats on a lake of water. The fraction of the body which is outside water is1. 30% 2. 70% 3. 25% 4. 50% 3 Q32. A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water ? 1. It will remain unchanged 2. It will rise 3. It will fall Q27. A block weighs 5 N in air and 4.5 N in a liquid 4. First it will first rise and then fall of specific gravity 0.5. Its weight in water will be: 1. 3.5 N Q33. A wooden block with a coin placed on its top, 2. 4.0 N floats in water as shown in fig. The distance l and h are 3. 2.5 N shown there. After some time the coin falls into the 4. 3.0 N water. Then: Q28. The reading of a spring balance when a block is suspended from it in the air is 60 N. This reading is changed to 40 N when the block is submerged in water. The specific gravity of the block, therefore, must be: 1. 3 2. 2 3. 6 4. 3/2 Q29. A beaker full of water is placed on a spring balance. If we put our finger in water without touching the beaker, how will the reading of the balance change? [Take ρ > ρ ] 1. Increase 2. Decrease 3. Remain the same 4. Will be halved finger water 1. l decreases and h increases 2. l increases and h decreases 3. Both l and h increase 4. Both l and h decrease Page: 4 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q34. A candle of diameter d is floating on a liquid in a Q38. A block of ice floats on a liquid of density 1.2 cylindrical container of diameter D (D>>d) as shown in g/cm in a beaker. The level of liquid when ice figure. If it is burning at the rate of 2cm/hour then the completely meltstop of the candle will: 1. Remains same 2. Rises 3. Lowers 4. (1), (2) or (3) 3 Q39. A hemispherical bowl just floats without sinking in a liquid of density 1. 2 × 10 kg /m . If the outer diameter and the density of the material of the bowl are 1 m and 2 × 10 kg /m respectively, then the inner diameter of the bowl will be: 1. 0.94 m 2. 0.97 m 3. 0.98 m 4. 0.99 m 3 4 1. Remain at the same height 2. Fall at the rate of 1 cm/hour 3. Fall at the rate of 2 cm/hour 4. Go up at the rate of 1cm/hour 3 3 Q40. A solid sphere of density η ( > 1) times lighter than water is suspended in a water tank by a string tied to its Q35. A body is just floating on the surface of a liquid. base as shown in fig. If the mass of the sphere is m, then The density of the body is the same as that of the liquid. the tension in the string is given by: The body is slightly pushed down. What will happen to the body ? 1. It will slowly come back to its earlier position 2. It will remain submerged, where it was left 3. It will sink 4. It will come out violently Q36. Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g / cm3. If the mass of the 1. ( )mg other is 48 g, its density in g / cm3 will be: 2. ηmg 1. 3. 2. 4. (η − 1) mg 3. 3 4. 5 Q41. A solid is suspended from an independent support in a liquid placed on a weighing machine, due to which Archimedes' Principle - Level II the weight of the liquid: 1. Increases Q37. A concrete sphere of radius R has a cavity of 2. Decreases radius r which is packed with sawdust. The specific 3. Remain unchanged gravities of concrete and sawdust are respectively 2.4 4. May increase or decrease and 0.3. For this sphere to float with its entire volume submerged underwater, the ratio of mass of concrete to mass of sawdust will be: 1. 8 2. 4 3. 3 4. Zero η−1 η 4 3 3 mg η 2 Page: 5 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q42. A metallic sphere with an internal cavity weighs 40 g wt in air and 20 g wt in water. If the density of the material with the cavity is 8 g/ cm3 , then the volume of the cavity is: 1. 0 cm 2. 5 cm 3. 20 cm 4. 15 cm 3 3 3 3 Equation of Continuity - Level I Q43. From the given diagram, the velocity v is: 3 1. 4 m/s 2. 3 m/s 3. 1 m/s 4. 2 m/s Q45. In a horizontal pipe of non-uniform cross-section, water flows with a velocity of 1 m s at a point where the diameter of the pipe is 20 cm. The velocity of water (m s ) at a point where the diameter of the pipe is 5 cm is1. 8 2. 16 3. 24 4. 32 −1 −1 Q46. An incompressible fluid flows steadily through a cylindrical pipe which has a radius 2r at point A and a radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is: 1. 2v 2. v 3. v/2 4. 4v Q47. The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is v, then the speed of ejection of the liquid through the holes will be: 1. vR2/n2r2 2. vR2/nr2 3. vR2/n3r2 4. v2R/nr Q44. If an incompressible liquid is flowing through Q48. The diameter of a syringe is 4 mm and the a horizontal pipe having branches of area A, 0.4 A, and diameter of its nozzle (opening) is 1 mm. The syringe is 0.5 A as shown in the figure, then the value of v is: placed on the table horizontally at a height of 1.25 m. If the piston is moved at a speed of 0.5 m/s, then considering the liquid in the syringe to be ideal, the horizontal range of liquid is(g = 10 m/s ) 1. 4 m 2. 8 m 3. 0.4 m 4. 0.2 m 2 Equation of Continuity - Level II 1. 3.2 m/s 2. 6.4 m/s 3. 1.6 m/s 4. 0.8 m/s Q49. Equation of continuity is based on : 1. Conservation of mass 2. Conservation of energy 3. Conservation of angular momentum 4. None of these Page: 6 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q50. Water flows through a frictionless duct with a Bernoulli's Theorem - Level I cross-section varying as shown in the figure. Pressure p at points along the axis is represented by: Q51. A large open tank with a square hole of side 0.1 cm in the wall at a depth of 0.2 m from the top is completely filled with a liquid. The rate of flow of liquid (in cm /s) through the hole will be1. 1 2. 2 3. 3 4. 4 3 Q52. A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D 1. 2. 1. x = √D(H − D) 2. x = √ D(H−D) 2 3. 4. x = 4√D(H − D) x = 2√D(H − D) 3. 4. Q53. The pressure of water in a water pipe when tap is opened and closed are respectively 3 × 105 Nm–2 and 3.5 × 105 Nm–2. With open tap, the velocity of water flowing is: 1. 10 ms–1 2. 5 ms–1 3. 20 ms–1 4. 15 ms–1 Page: 7 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q54. The following fig. shows the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the: Q58. In a horizontal pipe line the pressure falls by 16 Nm between two points separated by a distance of 2 km. Density of oil is 800 kg m . Change in kinetic energy per kg of the oil flowing in the tube is: 1. 2 × 10 J/ kg 2. 2 × 10 J/ kg 3. 2 × 10 J/ kg 4. 2 × 10 J/ kg −2 −3 3 2 −2 −3 Q59. A small hole of an area of cross-section 2 mm is present near the bottom of a fully filled open tank of height 2 m. Taking g= 10 m/s , the rate of flow of water through the open hole would be nearly: 1. 6. 4 × 10 m /s 2. 12. 6 × 10 m /s 3. 8. 9 × 10 m /s 4. 2. 23 × 10 m /s 2 2 −6 3 −6 1. Height of the liquid in the tube A is maximum 2. Height of the liquid in the tubes A and B is the same 3. Height of the liquid in all the three tubes is the same 4. Height of the liquid in the tubes A and C is the same −6 −6 3 3 3 Q60. The speed of flow past the lower surface of a wing of an aeroplane is 50 m/s. What speed of flow over the Q55. A horizontal pipe line carries water in a streamline upper surface will give a dynamic lift of 1000 Pa? flow. At a point along the pipe where cross-sectional (Density of air = 1.3 kg/m3): area is 10 cm2, the velocity of water is 1 m/s and pressure is 2000 Pa. The pressure of water at another point where cross-sectional area is 5 cm2, is: (Density of water=1000 kg/m3) 1. 250 Pa 2. 500 Pa 3. 1000 Pa 4. 2000 Pa Q56. There is an orifice at some depth in the water tank. Absolute pressure at the level of the orifice in the water tank is 4 atmospheric pressure. The density of water is 10 kg /m and 1 atm pressure = 10 N/m . The speed of water coming out of the orifice is: 1. 10 m/s 2. 20 m/s 3. 10√6 m/s 4. 10√2 m/s 3 5 3 2 1. 25.55 m/s 2. 63.55 m/s 3. 13.25 m/s 4. 6.355 m/s Q57. The velocity of kerosene oil in a horizontal pipe is 5 m/s. If g = 10m/s , then the velocity head of oil will be: 1. 1.25 m 2. 12.5 m 3. 0.125 m 4. 125 m 2 Page: 8 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q61. Water flows through a frictionless tube with a varying cross-section as shown in the figure. Variation of pressure P at point x along the axis is roughly given by: Q63. An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water? 1. mv 1 3 2 2. mv 3. mv 3 1 2 2 4. 1. 2. 1 2 2 m v 2 Q64. Find the rate of flow of glycerine of density 1.25 × 103 kg/m3 through the conical section of a pipe, if the radii of its ends are 0.1m and 0.04 m and the pressure drop across its length is 10N/m2. 1. 3.14 × 10–4 m3/s 2. 6.28 × 10–4 m3/s 3. 12.56 × 10–4 m3/s 4. 1.57 × 10–4 m3/s Q65. A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m2. 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=1.2kg/m3) 1. 4.8x105N, downwards 2. 4.8x105N, upwards 3. 2.4x105N, upwards 4. 2/4x105N, downwards 3. Q66. The pans of a physical balance are in equilibrium. If Air is blown under the right hand pan then the right hand pan will: 1. Move up 2. Move down 3. Move erratically 4. Remain at the same level 4. Q67. There is a hole in the bottom of a tank having water. If the total pressure at the bottom is 3 atm ( Q62. A tank has an orifice near its bottom. The volume 1 atm = 10 N/m ), then the velocity of water flowing of the liquid flowing per second out of the orifice does from the hole is: not depend upon: 1. √400 m/s 1. the area of the orifice. 2. √600 m/s 2. the height of the liquid level above the orifice. 3. √60 m/s 3. the density of the liquid. 4. None of these 4. acceleration due to gravity. 5 2 Page: 9 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q70. A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The Q68. An L-shaped tube with a small orifice is held in a tank was sealed at 3.10 atm. The stored gasoline has a water stream as shown in fig. The upper end of the tube density of 660 kgm . The velocity with which gasoline is 10.6 cm above the surface of water. What will be the begins to shoot out of the hole will be: height of the jet of water coming from the orifice? 1. 27.8 ms 2. 41.0 ms Velocity of water stream is 2.45 m/s. 3. 9.6 ms 4. 19.7 ms Bernoulli's Theorem - Level II −3 −1 −1 −1 −1 Q71. From the given diagram, the speed with which water leaves the tube B of small diameter is- 1. Zero 2. 20.0 cm 3. 10.6 cm 4. 40.0 cm Q69. A water tank is kept at a height H above the ground and the tank contains depth H of water as 1. √2 gh shown. Find the maximum possible range of water 2. √2 gh current, if there exists a small hole on the sidewall of the 3. √2g(h tank. 4. √2g(h 1 2 1 + h2 ) 2 − h1 ) Q72. Fluid flows through a pipe in a horizontal plane. The fluid has a relative density of 0.9 and its velocity at P (where cross-section area is A) is 4 m/s. What is its pressure at Q (where cross-section area is )? The pressure at P is 2.8 x 10 Pa. A 4 5 1. 2H 2. 3H 2 3. 4. H 5H 2 1. 2.36 x 10 Pa 2. 3.88 x 10 Pa 3. 2.08 x 10 Pa 4. 1.72 x 10 Pa 5 5 5 5 Page: 10 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q73. Water flows through a horizontal tube as shown in figure. If the difference in heights of water column in vertical tubes is 80 cm and the area of cross-section at A and B are 5 cm2 and 3 cm2 respectively, then the rate of flow of water at A( in cc/sec) is:[T ake g = 10 m/s ] 2 1. 15 × 10 2. 15 × 10 3. 150 4. None of these 2 3 Viscosity - Level I Q75. A spherical ball of radius 'r' is falling in a viscous fluid of viscosity 'η' with a velocity 'v'. The retarding viscous force acting on the spherical ball is: 1. inversely proportional to 'r' but directly proportional to velocity 'v'. 2. directly proportional to both radius 'r' and velocity 'v'. 3. inversely proportional to both radius 'r' and velocity 'v'. 4. directly proportional to 'r' but inversely proportional to 'v'. Q76. The relative velocity of two adjacent layers of a liquid is 6 cm/s and the perpendicular distance between layers is 0.1 mm. The velocity gradient for liquid (in per second) is: 1. 6 2. 0.6 3. 0.06 4. 600 Q77. With an increase in temperature, the viscosity of: Q74. An ideal fluid is flowing in a steady-state from a. gases decreases. section A to B through a pipe in a vertical plane as b. liquids increases. shown. Select the incorrect statement. c. gases increases. d. liquids decreases. 1. (b, c) 2. (a, d) 3. (c, d) 4. (a, b) Q78. The velocity of a small ball of mass m and density ρ when dropped in a container filled with glycerine of density σ becomes constant after sometime. The viscous force acting on the ball in the final stage is:1. mg( ) 1. Total energy per unit volume is the same at both sections A and B 2. mg(1 + 2. The incoming flow rate at A is equal to the outgoing 3. mg(1 − flow rate at B 3. Loss in kinetic energy of the fluid is equal to gain in 4. mg potential energy from section A to section B 4. The flow of fluid from A to B is laminar flow σ ρ σ ρ σ ρ ) ) Page: 11 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q79. A metal block of area 0. 10 m is connected to a 0.010 kg mass via a string that passes over an ideal pulley (considered massless and frictionless), as in the figure below. A liquid film with a thickness of 0.30 mm is placed between the block and the table. When released the block moves to the right with a constant speed of 0.085 m/s. The coefficient of viscosity of the liquid is: Stokes' Law - Level I 2 Q82. Two small spherical metal balls, having equal masses, are made from materials of densities ρ and ρ such that ρ = 8ρ and having radii of 1 mm and 2 mm, respectively. They are made to fall vertically (from rest) in a viscous medium whose coefficient of viscosity equals η and whose density is 0.1ρ . The ratio of their terminal velocities would be: 1. 1 1 2 2 2 79 72 2. 19 3. 39 4. 79 36 72 36 Q83. A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by : 1. 2. 3. 4. 4. 45 × 10 4. 45 × 10 3. 45 × 10 3. 45 × 10 −2 −3 −2 −3 Pa − s Pa − s Pa − s Pa − s Viscosity - Level II Q80. With an increase in temperature, the viscosity of liquid and gas, respectively will: 1. increase and increase 2. increase and decrease 3. decrease and increase 4. decrease and decrease 1. Curve A 2. Curve B 3. Curve C 4. Curve D Q84. A small tiny water droplet is falling towards earth at a uniform speed of 1 cm/s. When 27 such identical Q81. A square plate of 0.1 m side moves parallel to a droplets combine together to form a bigger drop, then second plate with a velocity of 0.1 m/s, both plates being with what uniform velocity will this bigger drop fall? immersed in water. If the viscous force is 0.002 N and 1. 27 cm/s the coefficient of viscosity is 0.01 poise, then the 2. 9 cm/s 3. 3 cm/s distance between the plates in m is: 4. 81 cm/s 1. 0.1 2. 0.05 Q85. If a small drop of water falls from rest through a 3. 0.005 large height h in air, then the final velocity is: 4. 0.0005 1. ∝ √h 2. ∝ h 3. ∝ (1/h) 4. Almost independent of h Page: 12 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q86. An iron sphere is dropped into a viscous Surface Tension - Level I liquid. Which of the following represents its acceleration (a) versus time (t) graph? Q88. A spherical drop of water has a radius of 1 mm. If the surface tension of water is 70 × 10 N/m, the difference in pressures inside and outside the spherical drop is: 1. 35 N/m 2. 70 N/m 3. 140 N/m 4. Zero 1. Q89. The property of surface tension of the liquid is due to: 1. the gravitational force of attraction between the molecules. 2. the cohesive forces between the molecules. 3. the adhesive force between the molecules. 4. the formation of ionic bonds between the molecules. −3 2 2 2 Q90. In order to float a ring of area 0.04 m in a liquid of surface tension 75 N/m, the required surface energy will be: 1. 3 J 2. 6.5 J 3. 1.5 J 4. 4 J 2 2. Q91. Small droplets of liquid are usually more spherical in shape than the larger drops of the same liquid because: 1. the force of surface tension is equal and opposite to the force of gravity. 2. the force of surface tension predominates the force of gravity. 3. the force of gravity predominates the force of surface tension. 4. the force of gravity and the force of surface tension act in the same direction and are equal. 3. 4. Q92. If the excess pressure inside a soap bubble is balanced by an oil column of height of 2 mm, then the surface tension of the soap solution will be: Q87. A small sphere of radius 'r' falls from rest in a (radius of the soap bubble,r = 1 cm and density of oil, d viscous liquid. As a result, heat is produced due to the = 0.8 gm/cc) viscous force. The rate of production of heat when the 1. 3.9 N/m sphere attains its terminal velocity is proportional to: 2. 3. 9 × 10 N/m 1. r 3. 3. 9 × 10 N/m 2. r 4. 3.9 dyne/m 3. r Stokes' Law - Level II −2 3 −3 2 5 4. r 4 Page: 13 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q93. The energy needed to break a drop of radius R into Q97. A certain number of spherical drops of a liquid of n drops of radii r is given by: radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then: 1. 4πT(nr − R ) 2 2. 4 3 3 2 2 π(r n − R ) 3. 4πT(R − nr ) 4. 4πT(r n + R ) 2 2 2 1. Energy = 4V T ( 1 2. Energy = 3V T ( 1 3. Energy = 3V T ( 1 r r − + 2 Q94. A wooden stick 2 m long is floating on the surface of the water. The surface tension of water is 0.07 N/m. By putting soap solution on one side of the stick, the surface tension is reduced to 0.06 N/m. The net force on the stick due to surface tension will be: 1. 0.07 N 2. 0.06 N 3. 0.01 N 4. 0.02 N r − 1 R 1 R 1 R ) is released ) is released ) is released 4. Energy is neither released nor absorbed Q98. An air bubble of radius r in water is at a certain depth below the water surface. If P is the pressure inside the bubble, then the depth below the water surface is: (P = Atmospheric pressure, ρ = Density of water, T = surface tension of water] 0 1. P − P0 2. P + P0 − ρg + ρg 4T rρg 2T rρg Q95. The surface tension of a liquid is 5 N m . If a 3. − film is held on a ring of area 0.02 m , then its total 4. + surface energy is: 1. 3 x 10 J Q99. A rectangular film of liquid is extended from (4 cm 2. 2 x 10 J × 2 cm) to (5 cm × 4 cm). If the work done is 3. 3 x 10 J 3 × 10 J, the value of the surface tension of the liquid 4. 10 J is: Q96. Two soap bubbles are connected by a tube as 1. 0.250 Nm-1 shown in the figure. Which of the following statement is 2. 0.125 Nm-1 true? 3. 0.2 Nm-1 4. 8.0 Nm-1 −1 2 P − P0 2T ρg rρg P − P0 2T ρg 2rρg −2 −1 −3 −1 −4 Surface Tension - Level II Q100. The radius of a soap bubble is increased from R to 2 R. Work done in this process (T = surface tension) is: 1. 24 πR T 2. 48 πR T 3. 12 πR T 4. 36 πR T 2 2 2 1. The volume of A will increase. 2. The volume of A will remain constant. 3. The volume of B will increase. 4. The volume of B will decrease. 2 Page: 14 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q101. A soap bubble is blown with the help of a mechanical pump at the mouth of a tube. The pump produces a certain increase per minute in the volume of the bubble, irrespective of its internal pressure. The graph between the pressure inside the soap bubble and time t will be- 1. Q103. A soap bubble, having a radius of 1 mm, is blown from a detergent solution having a surface tension of 2. 5 × 10 N /m. The pressure inside the bubble equals at a point Z below the free surface of the water in a container. Taking g= 10 m/s , density of water = 10 kg/m , the value of Z is: 1. 0.5 cm 2. 100 cm 3. 10 cm 4. 1 cm −2 0 2 3 3 0 Q104. There is a horizontal film of soap solution. On it, a thread is placed in the form of a loop. The film is pierced inside the loop and the thread becomes a circular loop of radius R. If the surface tension of the loop is T, then what will be the tension in the thread? 1. πR /T 2. πR T 3. 2πRT 4. 2 RT 2 2 2. 3. 4. Q102. A liquid drop at temperature T, isolated from its surroundings, breaks into a number of droplets. The temperature of the droplets will be– 1. equal to T 2. greater than T 3. less than T 4. either (1), (2) or (3) depending on the surface tension of the liquid. Page: 15 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q107. Water rises to height h in a capillary tube. If the length of the capillary tube above the surface of water is Q105. Which of the following graph represents the made less than h, then: variation of capillary rise of liquid with radius of the 1. water does not rise at all. 2. water rises up to the top of the capillary tube, then capillary tube? starts overflowing like a fountain. 3. water rises up to the top of the capillary tube and stays there without overflowing. 4. water rises up to a point a little below the top and stays there. Capillary Rise - Level I Q108. The wettability of a surface by a liquid depends primarily on: 1. viscosity 2. surface tension 3. density 4. angle of contact between the surface and the liquid 1. Q109. If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are same, then the angle of contact is 1. 90° 2. 30° 3. 45° 4. 0° 2. Q110. Water rises to a height h in a capillary at the surface of earth. On the surface of the moon, the height of water column in the same capillary will be1. 6h 2. h 3. h 4. Zero 1 3. 6 Q111. A liquid filled in a container has plane meniscus. If θ is the angle of contact, then: 1. θ = 0° 2. θ = 90° 3. θ < 90° 4. θ = 180° 4. Q106. If the surface tension of water is 0.06 Nm , then the capillary rise in a tube of diameter 1 mm is:( θ=0° ) 1. 1.22 cm 2. 2.44 cm 3. 3.12 cm 4. 3.86 cm −1 Q112. If the capillary experiment is performed in a vacuum, then for a liquid the capillary will: 1. rise 2. remain the same 3. fall 4. Rise to the top Page: 16 Recommended MCQs - 120 Questions - Mechanical Contact Number: 9667591930 / 8527521718 Properties of Fluids Q113. Three liquids of densities ρ , ρ and ρ (with ρ > ρ > ρ ), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact θ , θ and θ obey 1. > θ > θ > θ ≥ 0 2. 0 ≤ θ < θ < θ < 3. < θ < θ < θ < π 4. π > θ > θ > θ > 1 1 2 2 3 3 1 2 3 π 2 1 2 3 π 1 2 3 2 π 2 1 2 3 1 2 3 π 2 Capillary Rise - Level II Q114. 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. 5.0 g 2. 10.0 g 3. 20.0 g 4. 2.5 g Q115. Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75 × 10 N force due to the weight of the liquid. If the surface tension of water is 6 × 10 Nm , the inner circumference of the capillary must be 1. 1. 25 × 10 m 2. 0. 50 × 10 m 3. 6. 5 × 10 m 4. 12. 5 × 10 m −4 −2 −1 −2 −2 −2 −2 Q116. In a capillary tube experiment, a vertical 30 cm long capillary tube is dipped in water. The water rises up to a height of 10cm due to capillary action. If this experiment is conducted in a freely falling elevator, the length of the water column becomes1. 10 cm 2. 20 cm 3. 30 cm 4. Zero Q117. In a capillary tube, pressure below the curved surface of the water will be: 1. equal to atmospheric pressure. 2. equal to upper side pressure. 3. more than upper side pressure. 4. lesser than upper side pressure. CLICK HERE to get FREE ACCESS for 2 days of ANY NEETprep course Answers 1. (2) 6. (3) 11. (2) 16. (2) 21. (3) 26. (1) 31. (3) 36. (3) 41. (1) 46. (4) 51. (2) 56. (3) 61. (3) 66. (2) 71. (2) 76. (4) 81. (4) 86. (4) 91. (2) 96. (3) 101. (1) 106. (2) 111. (2) 116. (3) 2. (4) 7. (1) 12. (4) 17. (1) 22. (2) 27. (2) 32. (3) 37. (2) 42. (4) 47. (2) 52. (3) 57. (1) 62. (3) 67. (1) 72. (4) 77. (3) 82. (4) 87. (3) 92. (2) 97. (3) 102. (3) 107. (3) 112. (2) 117. (4) 3. (4) 8. (2) 13. (1) 18. (2) 23. (3) 28. (1) 33. (4) 38. (2) 43. (3) 48. (1) 53. (1) 58. (3) 63. (1) 68. (2) 73. (1) 78. (3) 83. (3) 88. (3) 93. (1) 98. (3) 103. (4) 108. (4) 113. (2) 4. (2) 9. (3) 14. (1) 19. (1) 24. (2) 29. (1) 34. (2) 39. (3) 44. (2) 49. (1) 54. (4) 59. (2) 64. (2) 69. (1) 74. (3) 79. (4) 84. (2) 89. (2) 94. (4) 99. (2) 104. (4) 109. (1) 114. (2) 5. (2) 10. (4) 15. (3) 20. (4) 25. (2) 30. (3) 35. (2) 40. (4) 45. (2) 50. (1) 55. (2) 60. (2) 65. (3) 70. (2) 75. (2) 80. (3) 85. (4) 90. (1) 95. (2) 100. (1) 105. (4) 110. (1) 115. (4) Page: 17