Question- Pressure at a point inside a liquid does not depend on:
(a) the depth of the point below the surface of the liquid
(b) the nature of the liquid
(c) the acceleration due to gravity at that point
(d) the shape of the containing vessel
Ans- (d)
Question- Two stretched membranes of area 2 cm2 and 3 cm2 are placed in a liquid at the same depth. The ratio of the pressure on them is:
(a) 1 : 1
(b) 2 : 3
(c) 3 : 2
(d) 22 : 32
Ans-(a)
Question- A dam for water reservoir is built thicker at the bottom than at the top because:
(a) pressure of water is very large at the bottom due to its large depth
(b) water is likely to have more density at the bottom due to its large depth
(c) quantity of water at the bottom is large
(d) none of the above
Ans- (a)
Question- Two communicating vessels contain mercury. The diameter of one vessel is four times larger than the diameter of the other. A column of water of height h0 = 70 cm is poured into the left hand vessel (the narrower one). How much will be mercury level rise in the right hand vessel? (Specific density of mercury = 13.6)
(a) 0.3 cm
(b) 0.7 cm
(c) 0.1 cm
(d) 1.0 cm
Ans- (a)
Question- The pressure of water at bottom in a lake is 3/2 times that at half depth where the water barometer reads 10 m. The depth of the lake is:
(a) 15 m
(b) infinite
(c) 20 m
(d) 10 m
Ans- (a)
Question- A tank 5 m high is half filled with water and then is filled to the top with oil of denisty 0.85 g/cm3. The pressure at the bottom of the tank, due to these liquids, is:
(a) 1.85 gf/cm2
(b) 89.25 gf/cm2
(c) 462.5 gf/cm2
(d) 500 gf/cm2
Ans- (c)
Question- A piston of cross-sectional area 100 cm2 is used in a hydraulic press to exert a force of 107 dyne on the water.The cross-sectional area of the other piston which supports an object having a mass 2000 kg is:
(a) 100 cm2
(b) 109 cm2
(c) 2 × 104 cm2
(d) 2 × 1010 cm2
Ans-(c)
Question- A U-tube is partially filled with water. Oil, which does not mix with water, is next poured into one side until water rises by 25 cm on the other side. If the density of oil be 0.8, the oil level will stand higher than the water level by:
(a) 6.25 cm
(b) 12.50 cm
(c) 31.25 cm
(d) 20 cm
Ans-(b)
Question- The height to which a cylindrical vessel be filed witha homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel, is equal to:
(a) half of the radius of the vessel
(b) radius of the vessel
(c) one-fourth of the radius of th vessel
(d) three-fourths of the radius of the vessel
Ans- (b)
Question- A cylindrical jar of cross-sectional area 0.01 m2 is filled with water to a height of 50 cm. It carries a tight-fitting piston of negligible mass. What is the pressure at the bottom of the jar when a mass of 1 kg is placed on the piston ? Take g = 10 ms–2.
(a) 105 Pa
(b) 6000 Pa
(c) 5000 Pa
(d) 1000 Pa
Ans-(b)
Question- When a body is wholly or partially immersed in a liquid it appears to lose weight. This loss of weight is equal to the weight to:
(a) water displaced by the body
(b) liquid displaced by the body
(c) equal volume of water
(d) equal volume of liquid
Ans- (b)
Question- Two pieces of metal when immersed in a liquid have equal upthrust on them; then:
(a) both pieces must have equal weights
(b) both pieces must have equal densities
(c) both pieces must have equal volumes
(d) both are floating to the same depth
Ans-(c)
Question- When a body is weighed in a liquid, the loss in its weight depends upon:
(a) volume of the body
(b) mass of the body
(c) shape of the body
(d) CG of the body
Ans- (a)
Question- An iron ball is weighed in air and then in water by a spring balance:
(a) its weight in air is more than in water
(b) its weight in water is more than in air
(c) its weight is same both in air and water
(d) its weight is zero in water
Ans- (a)
Question-A body weighs 40 g in air. If its volume is 10 cc, in water it will weigh:
(a) 30 g
(b) 40 g
(c) 50 g
(d) data are insufficient to calculate
Ans-(a)
Question- A block of metal (density 7 g/cc) of size 5 cm × 5 cm × 5 cm is weighed completely submerged in water. What will be its apparent weight (density of water = 1 g/cc)?
(a) (6 × 5 × 5 × 5)g
(b) (4 × 4 × 4 × 7)g
(c) (7 × 5 × 5 × 5)g
(d) (4 × 4 × 4 × 6)g
Ans-(a)
Question- A weightless rubber balloon has 100 g of water in it. Its weight in water will be:
(a) 100 g
(b) 200 g
(c) 50 g
(d) zero
Ans- (d)
Question- A beaker containing water weighs 100 g. It is placed on the pan of a balance and a piece of metal weighing 70 g and having a volume of 10 cm3 is placed inside the water in the beaker. The weight of the beaker and the metal would be:
(a) 170 g
(b) 160 g
(c) 100 g
(d) 30 g
Ans-(a)
Question- A body carries a fish in one hand and a bucket of water in the other hand; if he places the fish in the bucket, the weight now carried by him:
(a) is less than before
(b) is more than before
(c) is the same as before
(d) depends upon his speed
Ans- (c)
Question- The reading of a spring balance when a block is suspended from it in air is 60 N. This reading is changed to 40 N when the block is submerged in water. The specific gravity of the block must therefore be:
(a) 3
(b) 2
(c) 6
(d) 3/2
Ans-(a)
Question- A vessel contains oil of density 0.8 gcm–3 floating over mercury of density 13.6 gcm–3. A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the sphere in gcm–3 is
(a) 3.3
(b) 6.4
(c) 7.2
(d) 12.8
Ans- (c)
Question- When a ship floats on water:
(a) it displaces no water
(b) the mass of water displaced is equal to the mass of the ship
(c) the mass of water displaced is lesser than the mass of the ship
(d) the mass of water displaced is greater than the mass of the ship
Ans- (b)
Question- A block of wood is floating in a lake. The apparent weight of the floating block is
(a) equal to its true weight
(b) less than its true weight
(c) more than its true weight
(d) equal to zero
Ans- (d)
Question-Two bodies with volumes V and 2V are equalized on a balance. The larger body is then immersed in oil of density d1 = 0.9 g/cm3 while the smaller body is immersed in another liquid when it is found that the equilibrium of the balance is not disturbed. The density of the second liquid is then:
(a) 2.4 g/cm3
(b) 1.8 g/cm3
(c) 0.45 g/cm3
(d) 2.7 g/cm3
Ans- (b)
Question- A hydrogen-filled balloon stops rising after it has attained a certain height in the sky. This happens because
(a) the atmospheric pressure decreases with height and becomes zero when maximum height is attained
(b) the temperature of the air at maximum height equals that of the hydrogen in the balloon
(c) viscous effects become negligible
(d) at the highest point, the density of air is such that the buoyant force on the balloon equals its weight
Ans-(d)
Question- An iceberg is floating partially immersed in sea water. If the density of sea water is 1.03 g/cc and that of ice is 0.92 g/cc, the fraction of the total volume of iceberg above the level of sea water is:
(a) 8%
(b) 11%
(c) 34%
(d) 89%
Ans-(b)
Question-Two solids A and B float in a liquid. It is observed that A floats with half its volume immersed and B floats with (2/3) of its volume immersed. Compare the densities of A and B:
(a) 4 : 3
(b) 2 : 3
(c) 3 : 4
(d) 1 : 3
Ans-(c)
Question-A body weights W in air and it loses its weight by 25% in water. The relative density of the body is
(a) 4
(b) 1/4
(c) 3/4
(d) 4/3
Ans-(a)
Question- A body floats with (1/3) of its volume outside water and (3/4) of its volume outside another liquid. The density of the other liquid is:
(a) (9/4) g/cc
(b) (4/9) g/cc
(c) (8/3) g/cc
(d) (3/9) g/cc
Ans-(c)
Question- A raft of wood (density 600 g/m3) of mass 120 kg floats in water. How much weight can be put on the raft to make it just sink?
(a) 120 kg
(b) 200 kg
(c) 40 kg
(d) 80 kg
Ans-(d)
Question- A boat 3m long and 2 m wide is floating in a lake. When a man climbs over it, it sinks 1 cm further into water. The mass of the man is:
(a) 60 kg
(b) 64 kg
(c) 70 kg
(d) 72 kg
Ans-(a)
Question-A cubical block of wood of specific gravity 0.5 and a chunk of concrete of specific gravity 2.5 are fastened together.The ratio of mass of wood to the mass of concrete which makes the combination to float with its entire volume submerged in water is:
(a) 1/5
(b) 1/3
(c) 3/5
(d) 2/5
Ans-(c)
Question-A vessel contains an immiscible mixture of water and a liquid of density 0.8 gm/cc. A cube of side 10 cm is placed in the mixture and it is observed that the water-liquid interface is at the middle of cube height. Mass of the cube is:
(a) 420 gm
(b) 680 gm
(c) 225 gm
(d) 900 gm
Ans-(d)
Question-A metal ball of density 7800 kg/m3 is suspected to have a large number of inner cavities. It weighs 9.8 kg when weighed directly on a balance and 1.5 kg less when immersed in water. The fraction by volume of the cavities in the metal ball is apporximately:
(a) 20%
(b) 30%
(c) 16%
(d) 11%
Ans-(c)
Question- A man is sitting in a boat which is floating in a pond. If the man drinks some water from the pond, the level of water in the pond will:
(a) rise a little
(b) sink a little
(c) remain stationary
(d) none of these
Ans-(a)
Question- A boat carrying a number of large stones is floating in a water tank. What will happen to the water level if the stones are unloaded into the water ? The water level
(a) remains unchanged
(b) rises
(c) falls
(d) rises till half the number of stones are unloaded and then begins to fall
Ans-(c)
Question- A wooden piece floats half submerged in a tub of water. If the system is transferred to a lift ascending with acceleration the wooden piece will:
(a) sink a little more
(b) rise a little
(c) remain half submerged
(d) sink to the bottom
Ans-(c)
Question-A piece of ice, with a stone frozen inside it, is floating in water contained in a beaker. When the ice melts, the level of water in the beaker
(a) rises
(b) falls
(c) remains unchanged
(d) falls at first and then rises to the same height as before.
Ans-(b)
Question- A body is just floating on the surface of a liquid. The density of the body is same as that of the liquid. The body is slightly pushed down. What will happen to the body?
(a) It will come back slowly to its earlier position.
(b) It will remain submerged where it is left.
(c) It will sink.
(d) It will come out violently.
Ans-(c)
Question- A piece of ice floats in a vessel with water above which a layer of lighter oil is poured. When the whole of ice melts,which one of the following statements will be true?
(a) The level of the interface will remain the same.
(b) The total level of the liquids in the vessel will rise.
(c) The total level of the liquids in the vessel will fall while the level of interface will go up.
(d) The level of interface as well as the total level of liquids in the vessel will fall.
Ans-(c)
Question-Bernoulli’s theorem is a consequence of
(a) conservation of mass
(b) conservation of energy
(c) conservation of linear momentum
(d) conservation of angular momentum
Ans-(b)
Question- The velocity of efflux of a liquid through an orifice in the bottom of a tank does not depend upon
(a) density of liquid
(b) height of the liquid column above orifice
(c) acceleration due to gravity
(d) None of these
Ans-(a)
Question- A hole is made at the bottom of the tank filled with water (density = 1000 kg/m3). If the total pressure at the bottom of the tank is three atmospheres (1 atmosphere = 105 N/ m2), then the velocity of efflux is
(a) √400 m / s
(b) √200 m / s
(c) √600 m / s
(d)√ 500 m / s
Ans-(a)
Question- If the velocity head of a stream of water is equal to 10 cm then its speed of flow is approximately
(a) 1.0 m/s
(b) 1.4 m/s
(c) 140 m/s
(d) 10 m/s
Ans-(b)