JEE Questions for Physics Mechanical Properties Of Fluids Quiz 11 - MCQExams.com

When two soap bubbles of radii r1 and r2 (r2 > r1) coalesce, the radius of curvature of common surface is
  • r2 – r1
  • 2)
    Physics-Mechanical Properties of Fluids-79033.png

  • Physics-Mechanical Properties of Fluids-79034.png
  • r2 + r1
If the surface tension of a soap solution is 0.03 MKS units, then the excess of pressure inside a soap bubble of diameter 6 mm over the atmospheric pressure will be
  • Less than 40 N/m2
  • Greater than 40 N/m2
  • Less than 20 N/m2
  • Greater than 20 N/m2
The pressure of air in a soap bubble of 0.7 cm diameter is 8 mm of water above the pressure outside. The surface tension of the soap solution is
  • 100 dyne/cm
  • 68.66 dyne/cm
  • 137 dyne/cm
  • 150 dyne/cm
A capillary tube of radius r is dipped in a liquid of density ρ and surface tension S. If the angle of contact is θ, the pressure difference between the two surfaces in the beaker and the capillary is

  • Physics-Mechanical Properties of Fluids-79037.png
  • 2)
    Physics-Mechanical Properties of Fluids-79038.png

  • Physics-Mechanical Properties of Fluids-79039.png

  • Physics-Mechanical Properties of Fluids-79040.png
Soap bubbles can be formed floating in air by blowing soap solution in air, with the help of a glass tube, but not water bubbles. It is because
  • The excess pressure inside water bubble being more due to large surface tension
  • The excess pressure inside water bubble being less due to large surface tension
  • The excess pressure inside water bubble being more due to large viscosity
  • The excess pressure inside water bubble being less due to less viscosity
The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercury, the depth of the lake is
  • 5 m
  • 10 m
  • 15 m
  • 20 m
There are two liquid drops of different radii. The excess pressure inside over the outside is
  • More in the big drop
  • More in the small drop
  • Equal in both drops
  • There is no excess pressure inside the drops
The pressure at the bottom of a tank containing a liquid does not depend on
  • Acceleration due to gravity
  • Height of the liquid column
  • Area of the bottom surface
  • Nature of the liquid
In capillary pressure below the curved surface of water will be
  • Equal to atmospheric
  • Equal to upper side pressure
  • More than upper side pressure
  • Lesser than upper side pressure
The pressure inside a small air bubble of radius 0.1 mm situated just below the surface of water will be equal to [Take surface tension of water 70 × 10–3 N/m–1 and atmospheric pressure = 1.013 × 105 Nm–2]
  • 2.054 × 103 Pa
  • 1.027 × 103 Pa
  • 1.027 × 105 Pa
  • 2.054 × 105 Pa
If the excess pressure inside a soap bubble is balanced by oil column of height 2 mm, then the surface tension of soap solution will be (r = 1 cm and density d = 0.8 gm/cc)
  • 3.9 N/m
  • 3.9 × 10–2 N/m
  • 3.9 × 10–3 N/m
  • 3.9 dyne/m
In Jager\'s method , at the time of bursting of the bubble
  • The internal pressure of the bubble is always greater than external pressure
  • The internal pressure of the bubble is always equal to external pressure
  • The internal pressure of the bubble is always less than external pressure
  • The internal pressure of the bubble is always slightly greater than external pressure
A capillary tube (A) is dipped in water. Another identical tube (B) is dipped in a soap - water solution. Which of the following shows the relative nature of the liquid columns in the two tubes ?

  • Physics-Mechanical Properties of Fluids-79047.png
  • 2)
    Physics-Mechanical Properties of Fluids-79048.png

  • Physics-Mechanical Properties of Fluids-79049.png

  • Physics-Mechanical Properties of Fluids-79050.png
Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 7.5 × 10–4 N force due to the weight of the liquid . If the surface tension of water is 6 × 10–2 Nm–1, the inner circumference of the capillary must be
  • 1.25 × 10–2 m
  • 0.50 × 10–2 m
  • 6.5 × 10–2 m
  • 12.5 × 10–2 m
In a capillary rise experiment, the water level rises to a height of 5 cm .If the same capillary tube is placed in water such that only 3 cm of the tube projects outside the water level, then
  • Water will begin to overflow through the capillary
  • Angle of contact decreases
  • Angle of contact increases
  • The meniscus completely vanishes
  • Water will rise to a level less than 3 cm
Two capillaries made of same material but of different radii are dipped in a liquid . The rise of liquid in one capillary is 2.2 cm and that in the other is 6.6 cm. The ratio of their radii is
  • 9 : 1
  • 1 : 9
  • 3 : 1
  • 1 : 3
Water rises upto 10 cm height in a long capillary tube. If this tube is immersed in water so that the height above the water surface is only 8 cm, then
  • Water flows out continuously from the upper end
  • Water rises upto upper end and forms a spherical surface
  • Water only rises upto 6 cm height
  • Water does not rise at all
A vessel, whose bottom has round holes with diameter of 0.1 mm , is filled with water. The maximum height to which the water can be filled without leakage (S.T of water = 75 dyne/cm , g = 1000 cm/s2) is
  • 100 cm
  • 75 cm
  • 50 cm
  • 30 cm
Water rises in a capillary tube when its one end is dipped vertically in it, is 3 cm. If the surface tension of water is 75 × 10–3 N/m, then the diameter of capillary will be
  • 0.1 mm
  • 0.5 mm
  • 1.0 mm
  • 2.0 mm
A capillary tube made of glass is dipped into mercury.Then
  • Mercury rises in the capillary tube
  • Mercury rises and flows out of the capillary tube
  • Mercury descends in the capillary tube
  • Mercury neither rises nor descends in the capillary tube
The correct relation is

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  • 2)
    Physics-Mechanical Properties of Fluids-79057.png

  • Physics-Mechanical Properties of Fluids-79058.png

  • Physics-Mechanical Properties of Fluids-79059.png
Water rises upto a height h in a capillary on the surface of earth in stationary condition.Value of h increases if this tube is taken
  • On sun
  • On poles
  • In a lift going upward with acceleration
  • In a lift going downward with acceleration
Water rises in a vertical capillary tube upto a height of 2.0 cm.If the tube is inclined at an angle of 60o with the vertical,then upto what length the water will rise in the tube ?
  • 2.0 cm
  • 4.0 cm

  • Physics-Mechanical Properties of Fluids-79061.png

  • Physics-Mechanical Properties of Fluids-79062.png
The surface tension for pure water in a capillary tube experiment is

  • Physics-Mechanical Properties of Fluids-79064.png
  • 2)
    Physics-Mechanical Properties of Fluids-79065.png

  • Physics-Mechanical Properties of Fluids-79066.png

  • Physics-Mechanical Properties of Fluids-79067.png
In a capillary tube experiment, a vertical 30 cm long capillary tube is dipped in water. The water rises up to a height of 10 cm due to capillary action. If this experiment is conducted in a freely falling elevator, the length of the water column becomes
  • 10 cm
  • 20 cm
  • 30 cm
  • zero
Radius of a capillary is 2 × 10–3 m. A liquid of weight 6.28 × 10–4 N may remain in the capillary, then the surface tension of liquid will be
  • 5 × 10–3 N/m
  • 5 × 10–2 N/m
  • 5 N/m
  • 50 N/m
The lower end of a glass capillary tube is dipped in water.Water rises to a height of 8 cm. The tube is then broken at a height of 6 cm. The height of water column and angle of contact will be

  • Physics-Mechanical Properties of Fluids-79070.png
  • 2)
    Physics-Mechanical Properties of Fluids-79071.png

  • Physics-Mechanical Properties of Fluids-79072.png

  • Physics-Mechanical Properties of Fluids-79073.png
In a hydraulic press the small cylinder has a diameter of \'d1\' cm, while the large piston has a diameter of \'d2\' cm. If a force \'F1\' is applied to a small piston, the force on the large piston \'F2\' is given by

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  • 2)
    Physics-Mechanical Properties of Fluids-79076.png

  • Physics-Mechanical Properties of Fluids-79077.png

  • Physics-Mechanical Properties of Fluids-79078.png
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.
  • The weight of aluminium is half the weight of steel
  • Steel piece will weigh more
  • They have the same weight
  • None of the above
A spherical solid ball of volume V is made of a material of density ρ1. It is falling through a liquid of density ρ2 (ρ2 < ρ1). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e ., Fviscous = – kv2 (k >. The terminal speed of the ball is

  • Physics-Mechanical Properties of Fluids-79080.png
  • 2)
    Physics-Mechanical Properties of Fluids-79081.png

  • Physics-Mechanical Properties of Fluids-79082.png

  • Physics-Mechanical Properties of Fluids-79083.png
A sample of metal weighs 210 gm in air, 180 gm in water and 120 gm in liquid. Then, relative density (RD) of
  • Metal is 3
  • Metal is 7
  • Liquid is 3
  • Liquid is 1/3
  • Both (and (4)
A piece of wood is floating in water, When the temperature of water rises, the apparent weight of the wood will
  • Increase
  • Decreases
  • May increase or decrease
  • Remain same
The fraction of a floating object of volume V0 and density d0 above the surface of a liquid of density d will be

  • Physics-Mechanical Properties of Fluids-79085.png
  • 2)
    Physics-Mechanical Properties of Fluids-79086.png

  • Physics-Mechanical Properties of Fluids-79087.png

  • Physics-Mechanical Properties of Fluids-79088.png
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 ?
  • It will slowly come back to its earlier position
  • It will remain submerged, where it is left
  • It will sink
  • It will come out violently
A solid sphere of density η ( >times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m, then the tension in the string is given by
Physics-Mechanical Properties of Fluids-79090.png

  • Physics-Mechanical Properties of Fluids-79091.png
  • η mg

  • Physics-Mechanical Properties of Fluids-79092.png

  • Physics-Mechanical Properties of Fluids-79093.png
Two spherical planets P and Q have the same uniform density ρ , masses MP and MQ, and surface areas A and 4A, respectivly. A spherical planet R also has uniform density ρ and its mass is (MP + MQ). The escape velocities from the planets P, Q and R are VP , VQ and VR, respectively.Then,
  • VQ > VR > VP
  • VR > VQ > VP

  • Physics-Mechanical Properties of Fluids-79095.png

  • Physics-Mechanical Properties of Fluids-79096.png
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 ?
  • It will remain unchanged
  • It will rise
  • It will fall
  • First it will first rise and then fall
Two pieces of metal when immersed in a liquid have equal uptrust on them ; then
  • Both pieces must have equal weights
  • Both pieces must have equal densities
  • Both pieces must have equal volumes
  • Both are floating to the same depth
A man is carrying a block of a certain substance (of density 1000 kgm-3) weighing 1 kg in his left hand and a bucket filled with water and weighing 10 kg in his right hand. He drops the block into the bucket. How much load does he carry in his right hand now ?
  • 9 kg
  • 10 kg
  • 11 kg
  • 12 kg
If there were no gravity , which of the following will not be there for a fluid ?
  • Viscosity
  • Surface tension
  • Pressure
  • Archimedes's upward thrust
A wooden piece can float both in mercury (of density 13.6 gm/cc) and in water (of density 1 gm/cc). The ratio of mass of mercury displaced to the mass of water displaced is
  • 1
  • 13.6

  • Physics-Mechanical Properties of Fluids-79100.png

  • Physics-Mechanical Properties of Fluids-79101.png
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)
  • 350 cm3
  • 300 cm3
  • 250 cm3
  • 22 cm3
Density of ice is ρ and that of water is σ . What will be the decrease in volume when a mass M of ice melts ?

  • Physics-Mechanical Properties of Fluids-79103.png
  • 2)
    Physics-Mechanical Properties of Fluids-79104.png

  • Physics-Mechanical Properties of Fluids-79105.png

  • Physics-Mechanical Properties of Fluids-79106.png
A jar is filled with two non-mixing liquids 1 and 2 having densities ρ1 and ρ2 respectively. A solid ball,made of a material of density ρ3, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ρ1 , ρ2 and ρ3 ?
Physics-Mechanical Properties of Fluids-79108.png
  • ρ1 > ρ3 > ρ2
  • ρ1 > ρ2 > ρ3
  • ρ1 < ρ3 < ρ2
  • ρ3 < ρ1 < ρ2
A body of density d1 is counterpoised by Mg of weights of density d2 in air of density d. Then, the true mass of the body is
  • M
  • 2)
    Physics-Mechanical Properties of Fluids-79110.png

  • Physics-Mechanical Properties of Fluids-79111.png

  • Physics-Mechanical Properties of Fluids-79112.png
A closcd rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is (j) maximum at and (ii) minimum at
Physics-Mechanical Properties of Fluids-79114.png
  • (i) B (ii) D
  • (i) C (ii) D
  • (i) B (ii) C
  • (i) B (ii) A
The height to which a cylindrical vessel be filled with a 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
  • Half of the radius of the vessel
  • Radius of the vessel
  • One-fourth of the radius of the vessel
  • Three-fourth of the radius of the vessel
A liquid X of density 3.36 g/cm3 is poured in a U-tube, which contains Hg. Another liquid Y is pourcd in left arm with height 8 cm, upper levels of X and Y are same. What is density of Y?
Physics-Mechanical Properties of Fluids-79117.png
  • 0.8 g/cc
  • 1.2 g/cc
  • 1.4 g/cc
  • 1.6 g/cc
Three liquids of equal masses are taken in three identical cubical vessels A, B and C. Their densities are ρA, ρB and ρC respectively. But ρA < ρB < ρC.The force exerted by the liquid on the base of the cubical vessel is
  • Maximum in vessel C
  • Minimum in vessel C
  • The same in all the vessels
  • Maximum in vessel A
A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ρc is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is
  • More than half filled if ρc is less then 0.5
  • More than half filled if ρc is less then 1.0
  • half filled if ρc is less than 0.5
  • Less than half filled if ρc is less than 0.5
0:0:1


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