Physics1) The vertical limbs of a U shaped tube are filled with a liquid of density upto a height h on each side. The horizontal portion of the U tube having length 2h contains a liquid of density 2. The U tube is moved horizontally with an accelerator g/2 parallel to the horizontal arm. The difference in heights in liquid levels in the two vertical limbs, at steady state will be 2) A bucket contains water filled upto a height = 15 cm. The bucket is tied to a rope which is passed over a frictionless light pulley and the other end of the rope is tied to a weight of mass which is half of that of the (bucket + water). The water pressure above atmosphere pressure at the bottom is (A) 0.5 kPa (B) 1 kPa (C) 5 kPa (D) None of these 3) A cone of radius R and height H, is hanging inside a liquid of density by means of a string as shown in the figure. The force, due to the liquid acting on the slant surface of the coin is 4) The area of cross-section of the wider tube shown in figure is 800 cm2. If a mass of 12 kg is placed on the massless piston, the difference in heights h in the level of water in the two tubes is : (A) 10 cm (B) 6 cm (C) 15 cm (D) 2 cm 5) A fluid container is containing a liquid of density is accelerating upward with acceleration a along the inclined place of inclination as shown. Then the angle of inclination of free surface is Harshana Perera(B.Sc(Phy),BIT,SCJP) 2014 T Kit Turn Over Physics 6) Figure shows a three arm tube in which a liquid is filled upto levels of height l.BIT. The acceleration was (A) g/3 (B) 2g/3 (C) 3g/2 (D) None 8) A liquid of mass 1 kg is filled in a flask as shown in figure.. An immiscible liquid of density 4.0 grams/ centimeter3 is added to one arm until a layer 5 Harshana Perera(B. When the tank was accelerated on a horizontal plane along one of its side it was found that one third of volume of water spilled out. The force exerted by the flask on the liquid is (g = 10 m/s2)[Neglect atmospheric pressure]: (A) 10 N (B) greater than 10N (C) less than 10N (D) zero 9) In the figure shown.SCJP) 2014 T Kit Turn Over . The angular frequency at which level of liquid in arm B becomes zero 7) An open cubical tank was initially fully filled with water. If the water is drawn out till the level of water is lowered by one fifth.0 gram/centimeter 3) standing initially 20 centimeters from the bottom in each arm. the pressure at the bottom of the tank will now be (A) 2P (B) (13/5) P (C) (8/5) P (D) (4/5)P 11) An open-ended U-tube of uniform cross-sectional area contains water (density 1. The height ‘h’ for the equilibrium of cylinder must be 10) The pressure at the bottom of a tank of water is 3P where P is the atmospheric pressure .Sc(Phy). the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities 2and 3. It is now rotated at an angular frequency about an axis passing through arm B. as shown in the figure above. one of relative density 0.60 and another of relative density = 1. The specific gravity of the rod is 0. If a coin of mass m is placed gently on the top surface of the block is just submerged. as shown. The relative density (specific gravity)of liquid is: Harshana Perera(B. The combination floats in a liquid of density d with a length L/2 above the surface of the liquid.15 are connected by weightless wire and placed in a large tank of water. If d1 > d2 then: 17) A piece of steel has a weight W in air. Its relative density is d. It is floating in a large body of water such that side a is vertical. b and c. The time period of SHM executed by it is 14) A slender homogeneous rod of length 2L floats partly immersed in water. M is (A) 4m/5 (B) m/5 (C) 4m (D) 5m 16) Two cyllinders of same cross-section and length L but made of two material of densities d1 and d2 are cemented together to form a cylinder of length 2L. It is pushed down a bit and released. W 1 when completely immersed in water and W2 when completely immersed in an unknown liquid.75.0 m sides. being supported by a string fastened to one of its ends. A cubical block of side edge a and mass M is floating in it with four-fifth of its volume submerged. The length of rod that extends out of water is 15) A container of large surface area is filled with liquid of density r.BIT.SCJP) 2014 T Kit Turn Over . Under equilibrium the lighter cube will project above the water surface to a height of (A) 50 cm (B) 25 cm (C) 10 cm (D) zero 13) A cubical piece of wood has dimensions a. What is the ratio h2/h1 of the heights of the liquid in the two arms? (A) 3/1 (B) 5/2 (C) 2/1 (D) 3/2 12) Two cubes of size 1.Physics centimeters high forms.Sc(Phy). Water starts flowing from the tap at t = 0. then the relative density of the block is (a) 5 (b) 6 (c) 10 (d) 2 (5) 4 22) As the figure shows.47 x 104 J/m3 (d) none of these (c) . When it is immersed in another liquid.2.5 kg respectively. What will be the readings of S1 and S2 when block A is pulled up out of the liquid? Harshana Perera(B. The work done per unit volume by the forces of gravity as the fluid flows from point P to Q.5 kg.5 kg and 7. it weighs 13 N.SCJP) 2014 T Kit Turn Over . is (a) 29. The mass of a beaker B is 1 kg and mass of liquid L is 1.Sc(Phy). The height H above the surface of water up to which the ball will jump out of water is 19) A cylindrical tank of height 1 m and cross section area A = 4000 cm 2 is initially empty when it is kept under a tap of cross sectional area 1 cm2. The area of cross-section of the tube at two points P and Q at heights of 3 m and 6 m are 2 x 10-3 m3 and 4 x 10-3 m3 respectively.BIT.94 x 104 J/m3 21) A block weighs 15 N and 12 N in air and water respectively. The S1 and S2 balances read 2. with a speed = 2 m/s. A block A is hanging from spring balance S) and immersed in a liquid L which is contained in a beaker B.1.Physics 18) A small wooden ball of density r is immersed in water of density s to depth h and then released.4 J/m3 (b) . The variation of height of water in tank (in meters) with time t is best depicted by 20) A non viscous liquid of constant density 500 kg/m flows in a variable cross-sectional tube. There is a small hole in the base of the tank of cross-sectional area 0.5 cm 2. S 1 and S2 are spring balances. SCJP) 2014 T Kit Turn Over . Density of the liquid is d(>). there are two holes in the side walls at heights of h 1 and h2 respectively such that the range of efflux at the bottom of the vessel is same. Two small holes are punched at depth h/ 2 and 3h/2 from the surface of lighter liquid.Sc(Phy).5 kg (c) S1 will read 2. will be 25) Equal volumes of two immiscible liquids of densities and 2are filled in a vessel as shown in figure. If v 1 and v2 are the velocities of a flux at these two holes.5 kg (d) S1 will read 10 kg and S2 will read 2.5 kg 23) A body having volume V and density is attached to the bottom of a container as shown.5 kg and S2 will read 7.BIT. The height of a hole. for which the range of efflux would be maximum.Physics (a) S1 will read 5 kg and S2 will read 5 kg (b) S1 will read 7.5 kg and S2 will read 2. Container has a constant upward acceleration a. Tension in the string is 24) In a cylindrical vessel containing liquid of density . then v1/v2 is : Harshana Perera(B. 18b. as shown in FigureP15. the slab floats in fresh water with its top at the same level as the water’s surface.0-kg swimmer is resting on it. as shown in Figure P15. 29) A Styrofoam slab has thickness h and density ÞS . 28) A Styrofoam slab has a thickness of 10. If small identical holes are punched near this bottom.28). If the equilibrium configuration of the tube is as shown in Figure P15. when a swimmer of mass m is on top 30) Mercury is poured into a U-tube. 31) A frog in a hemispherical pod finds that he just floats without sinking into a sea of blue-green ooze having a density of 1.Physics (26) The three water filled tanks shown have the same volume and height. What is the area of the slab if it floats with its upper surface just awash in fresh water. Find the area of the slab.18a.SCJP) 2014 T Kit Turn Over .0 cm2. and the right arm has a cross-sectional area A2 of 5. (A) (i) (B) (ii) (C) (iii) (D) All will take same time (27) A U-tube of uniform cross-sectional area and open to the atmosphere is partially filled with mercury.35 g/cm3 (Fig. which one will be the first to get empty. determine the value of h1 . The left arm of the tube has a cross-sectional area A1 of 10. If the pod has a radius of 6.Sc(Phy). When a 75. (a) determines the length of the water column and find h. One-hundred grams of water are then poured into the right arm. with h2 = 1.BIT.00 cm2. P15.00 cm.0 cm and a density of 300 kg/m3. Water is then poured into both arms. what is the mass of the frog? Harshana Perera(B.19.00 cm and a negligible mass. the pressure everywhere is 1 atm. this submarine takes on mass in the form of seawater.0 m below the water level. 36) A siphon is used to drain water from a tank.20 m/s. Determine the speed of the medicine as it leaves the needle’s tip. A force F of magnitude 2.44).00 min to fill the bucket.) (b) If the hose has a nozzle 1. The siphon has a uniform diameter. open at the top and filled with water.43.00 *104 Pa and the pressure in the smaller pipe is 6. as illustrated in Figure P15. (a) If the distance h 1. making the medicine squirt horizontally from the needle.00 *104 Pa. If the pressure of the water in the larger pipe is 8. develops a small hole in its side at a point 16.50 * 10-5 m2.SCJP) 2014 T Kit Turn Over .20 * 10 4 kg. find the speed of outflow at the end of the siphon. Harshana Perera(B. determine (a) the speed at which the water leaves the hole and (b) the diameter of the hole. Determine the amount of mass that the submarine must take on if it is to descend at a constant speed of 1. If the rate of flow from the leak is 2.00 cm in diameter.00 cm in diameter.0 cm in diameter has a smooth reduction to a pipe 5. find the speed of the water at the nozzle. when the resistive force on it is 1 100 N in the upward direction. If it takes 1. The barrel of the syringe has a cross-sectional area A =2. the pressure must not drop below the vapor pressure of the liquid.50 * 10 -3 m3/min. at what rate does water flow through the pipes? 35) A large storage tank.0-L bucket.BIT. In the absence of a force on the plunger. To dive. 34) A horizontal pipe 10. P15.Sc(Phy).Physics 32) A bathysphere used for deep-sea exploration has a radius of 1. Assume steady flow without friction.0*10 3 kg/m3 as the density of seawater 33) A water hose 2.00 N acts on the plunger. and the needle has a cross-sectional area a =1.00 * 10-8 m 2. (b) What is the limitation on the height of the top of the siphon above the water surface?(For the flow of liquid to be continuous. Take 1. what is the speed v at which water moves through the hose? (Note: 1 L =1 000 cm3.00 cm in diameter is used to fill a 20.50 m and a mass of 1.) 37) A hypodermic syringe contains a medicine with the density of water (Fig.0 m. The balloon is spherical with a radius of 0.400 m.50. what is the maximum height attained by the water stream exiting the right side of the tank? Assume that h=10 m L = 2 m . and that the cross-sectional area at point A is very large compared with that at point B.Sc(Phy). and ϴ= 300 . 0. as shown in Figure P15. as shown in Figure P15. Determine the value of h. If this valve is opened. the balloon lifts a length h of string and then remains in equilibrium. (41)Write down the Bernoulli’s equation for a fluid flow (a) State the conditions under which the Bernoulli’s equation valid (b)Show that the above equation dimensionally correct Harshana Perera(B.49.500 m below the nozzle? 40) Figure P15.SCJP) 2014 T Kit Turn Over . The envelope of the balloon has a mass of 0.050 0-kg uniform string. How much gauge air pressure in the tank (above atmospheric) is required for the water jet to have a speed of 30. When released.BIT. 39) Water is forced out of a fire extinguisher by air pressure.00-m-long.Physics 38) A helium-filled balloon is tied to a 2.250 kg.0 m/s when the water level is 0.48 shows a tank of water with a valve at the bottom. P15. One end of a 0. P15. Determine the speed of the air being blown across the left arm.Sc(Phy).69c).69b).SCJP) 2014 T Kit Turn Over . P15. (Take the density of air as 1. (a) Determine the difference h in the heights of the two liquid surfaces.25cm diameter plastic hose is inserted into the bottle placed on a high stand. 1) Determine how long will it take at the minimum to fill an glass of volume 200cm-3 2) When the bottle almost empty Harshana Perera(B. while the other end an on/of valve is maintained 60cm below the bottom of the bottle.69a).00 cm in height (Fig.BIT.Physics A U-tube open at both ends is partially filled with water (Fig. Oil having a density of 750 kg/m3 is then poured into the right arm and forms a column L =5.29 kg/m3. If the water level in the bottle is 45cm when it is full.) 42) The drinking water needs of an office are met by large water bottles. (b) The right arm is shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Fig. BIT.Sc(Phy).SCJP) 2014 T Kit Turn Over .Physics 43) Calculate static and dynamic pressures 44) Write down the Bernoulli’s equation for a fluid flow State the conditions under which the Bernoulli’s equation valid Show that the above equation dimensionally correct Harshana Perera(B. SCJP) 2014 T Kit Turn Over .27 and density of the oil is 900 kgm-3 and height of the oil column is 2cm. 2) Determine the difference between the stagnation pressure on the front of the automobile and the pressure in the test section 46) Water flows from a large tank through a large pipe that splits into two smaller pipes of Harshana Perera(B.Sc(Phy). 1) Determine the nanometer reading h when the velocity in the test section is 60kmh-1.Physics 45) Write down the Bernoulli’s equation for a fluid flow State the conditions under which the Bernoulli’s equation valid Show that the above equation dimensionally correct Air is drawn into a wind tunnel used for testing automobile as shown below Fig P3.BIT. and then place the other end in a gas can below the level of the gas tank. determine the flowrate from the tank and the pressure at point (1) a) Determine the maximum height attain by the water 47) Write down the Bernoulli’s equation for a fluid flow State the conditions under which the Bernoulli’s equation valid Show that the above equation dimensionally correct During trip to the beach( P atm atm) a car runs out of gasoline and it become necessary to siphon gas out of the car of a good Samaritan.Sc(Phy). The siphon is small diameter hose.83. and to start the siphon it is necessary to insert one siphon end into the full gas tank.Physics diameter 0.SCJP) 2014 T Kit Turn Over . The pressure different between point 1 and point 2 will cause the liquid to flow from the higher to the lower elevation a) The minimum time to withdraw 4Lof gasoline from the tank to can end b) The pressure at point 3 the density of gasoline is 750kgm-3 Harshana Perera(B. if viscous effect are negligible.03 respectively as shown below picture Fig P3.02m and 0.BIT. fill the hose with gasoline via suction. Physics Harshana Perera(B.BIT.SCJP) 2014 T Kit Turn Over .Sc(Phy). Sc(Phy).SCJP) 2014 T Kit Turn Over .Physics Harshana Perera(B.BIT.
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