JEE Questions for Physics Mechanical Properties Of Fluids Quiz 17 - MCQExams.com

When liquid medicine of testing S is to be put in the eye. It is done with the help of a dropper as the bulb on the top of the dropper is pressed a drop forms at the opening of the dropper we wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because the requires a minimum increase in its surface energy. To determine the size w calculate the net vertical force due to surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop the drop gets detached from the dropper.
If the radius od the opening od the dropper is r ; the vertical force due to the surface tension on the drop of radius R. (cassuming r << R) is
  • 2πrT
  • 2πRT

  • Physics-Mechanical Properties of Fluids-79551.png

  • Physics-Mechanical Properties of Fluids-79552.png
Assertion : When height of a tube is less then liquid rise in the capillary tube the liquid does not overflow.
Reason : Product of radius of meniscus and height of liquid in capilling tube always remains constant.
  • If both assertion and reason are true and the reason is the correct explanation of the assertion
  • If both assertion and reason are true but reason is not the correct explanation of the assertion
  • If assertion is true but reason is false
  • If the assertion and reason both are false
Assertion : The impurities always decrease the surface tension of a liquid.
Reason : The change in surface tension of the liquid depends upon the degree of cont animation of the impurity.
  • If both assertion and reason are true and the reason is the correct explanation of the assertion
  • If both assertion and reason are true but reason is not the correct explanation of the assertion
  • If assertion is true but reason is false
  • If the assertion and reason both are false
Assertion : Tiny drops of liquid resist deforming forces better than bigger drops.
Reason : Excess pressure inside a drop is directly proportional to surface tension.
  • If both assertion and reason are true and the reason is the correct explanation of the assertion
  • If both assertion and reason are true but reason is not the correct explanation of the assertion
  • If assertion is true but reason is false
  • If the assertion and reason both are false
A trangular lamind of area A and, height h is immersed in a liquid of density S in a vertical plane with its base on the surface of the liquid. The thrust on lamina is

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  • 2)
    Physics-Mechanical Properties of Fluids-79556.png

  • Physics-Mechanical Properties of Fluids-79557.png

  • Physics-Mechanical Properties of Fluids-79558.png
The density S of coater of bulk modulus B at a depth y in the ocean is related to the density at surface so by the relation.

  • Physics-Mechanical Properties of Fluids-79560.png
  • 2)
    Physics-Mechanical Properties of Fluids-79561.png

  • Physics-Mechanical Properties of Fluids-79562.png

  • Physics-Mechanical Properties of Fluids-79563.png
The pressure on a swimmer 20 m below the surface of coater at sea level is
  • 1.0 atm
  • 2.0 atm
  • 2.5 atm
  • 3.0 atm
The fraction of floating object of volume Vo and density do above the surface of a Liquid as density d will be

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  • 2)
    Physics-Mechanical Properties of Fluids-79567.png

  • Physics-Mechanical Properties of Fluids-79568.png

  • Physics-Mechanical Properties of Fluids-79569.png
A body floats in water with one-third of its volume above the surface of water. It is placed in oil it floats with half of : Its volume above the surface of the oil. The specific gravity of the oil is.

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  • 2)
    Physics-Mechanical Properties of Fluids-79572.png

  • Physics-Mechanical Properties of Fluids-79573.png
  • 1
A block of ice at -10o C is slowly heated and covered to steam at 100o C which of the following curves represents the phenomenon qualitatively.

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  • 2)
    Physics-Mechanical Properties of Fluids-79576.png

  • Physics-Mechanical Properties of Fluids-79577.png

  • Physics-Mechanical Properties of Fluids-79578.png
A cubical block is floating in a liquid with half of its volume immersed in the liquid.When the whole system accelerates upwards with acceleration of g/3, the fraction of volume immersed in the liquid will be
Physics-Mechanical Properties of Fluids-79579.png

  • Physics-Mechanical Properties of Fluids-79580.png
  • 2)
    Physics-Mechanical Properties of Fluids-79581.png

  • Physics-Mechanical Properties of Fluids-79582.png

  • Physics-Mechanical Properties of Fluids-79583.png
An uniformly tapering vessel is filled with a liquid of density 900 kg/m3. The force that acts on the base of the vessel due to the liquid is (g =10 cm-2)
Physics-Mechanical Properties of Fluids-79585.png
  • 3.6 N
  • 7.2 N
  • 9.0 N
  • 14.4 N
A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is 1.5 gm/cc. The pressure difference between the point P and S will be
Physics-Mechanical Properties of Fluids-79587.png
  • 105 N/m
  • 2 × 105
  • Zero
  • Infinity
A vertical U-tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density 1.3 g/cm3) column of length 10 cm is introduced into one of its arms. Oil of density 0.8gm/cm3 is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the oil column, (Density of mercury = 13.6 g/cm3)
Physics-Mechanical Properties of Fluids-79588.png
  • 10.4 cm
  • 8.2 cm
  • 7.2 cm
  • 9.6 cm
The density ρ of water of bulk modulus B at a depth y in the ocean is related to the density at surface ρ0 by the relation

  • Physics-Mechanical Properties of Fluids-79590.png
  • 2)
    Physics-Mechanical Properties of Fluids-79591.png

  • Physics-Mechanical Properties of Fluids-79592.png

  • Physics-Mechanical Properties of Fluids-79593.png
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
  • Inversely proportional to ‘r’ but directly proportional to velocity ‘v'
  • Directly proportional to both radius ‘r’ and velocity ‘v'
  • Inversely proportional to both radius ‘r’ and velocity ‘v'
  • Directly proportional to ‘r’ but inversely proportional to ‘v'
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section A1 and A2, are V1 and V2 respectively. The difference in the levels of the liquid in the two vertical tubes is h
Physics-Mechanical Properties of Fluids-79596.png
  • The volume of the liquid flowing through the tube in unit time is A1v1
  • 2)
    Physics-Mechanical Properties of Fluids-79597.png

  • Physics-Mechanical Properties of Fluids-79598.png
  • The energy per unit mass of the liquid is the same in both sections of the tube
  • All ((and (4)
A vessel of area of cross-section A has liquid to a height H. There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from H1 to H2 will be

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  • 2)
    Physics-Mechanical Properties of Fluids-79601.png

  • Physics-Mechanical Properties of Fluids-79602.png

  • Physics-Mechanical Properties of Fluids-79603.png
The diagram shows a cup of tea seen from above. The tea has been stirred and is now rotating without turbulence. A graph showing the speed t’ with which the liquid is crossing points at a distance X from O along a radius XO would look like
Physics-Mechanical Properties of Fluids-79604.png

  • Physics-Mechanical Properties of Fluids-79605.png
  • 2)
    Physics-Mechanical Properties of Fluids-79606.png

  • Physics-Mechanical Properties of Fluids-79607.png

  • Physics-Mechanical Properties of Fluids-79608.png
Water flows through a frictionless duct with a cross-section varying as shown in fig. Pressure P at points along the axis is represented by
Physics-Mechanical Properties of Fluids-79609.png

  • Physics-Mechanical Properties of Fluids-79610.png
  • 2)
    Physics-Mechanical Properties of Fluids-79611.png

  • Physics-Mechanical Properties of Fluids-79612.png

  • Physics-Mechanical Properties of Fluids-79613.png

Physics-Mechanical Properties of Fluids-79614.png
  • Cylinder will not move up and remains at its original position
  • 2)
    Physics-Mechanical Properties of Fluids-79615.png

  • Physics-Mechanical Properties of Fluids-79616.png

  • Physics-Mechanical Properties of Fluids-79617.png
Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II
Physics-Mechanical Properties of Fluids-79618.png
  • A → p,t ; B → q,s,t ; C → p,r,t ; D → q,t ;
  • A → p,r ; B → q,s ; C → r,t ; D → t ;
  • A → p,s ; B → q,t ; C → p,t ; D → q ;
  • A → p ; B → s,t ; C → p,r ; D → q,t ;
A spherical ball of radius r and relative density 0.5 is floating in equilibrium in water with half of it immersed in water. The work done in pushing the ball down so that whole of it is just immersed in water is : (where ρ is the density of water)

  • Physics-Mechanical Properties of Fluids-79620.png
  • 0.5 ρrg

  • Physics-Mechanical Properties of Fluids-79621.png

  • Physics-Mechanical Properties of Fluids-79622.png
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
Physics-Mechanical Properties of Fluids-79623.png
  • Air from end 1 flows towards end 2. No change in the volume of the soap bubbles
  • Air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases
  • No change occurs
  • Air from end 2 flows towards end 1. Volume of the soap bubble at end 1 increases
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

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  • 2)
    Physics-Mechanical Properties of Fluids-79626.png

  • Physics-Mechanical Properties of Fluids-79627.png

  • Physics-Mechanical Properties of Fluids-79628.png
Which graph represents the variation of surface tension with temperature over small temperature ranges for water ?

  • Physics-Mechanical Properties of Fluids-79630.png
  • 2)
    Physics-Mechanical Properties of Fluids-79631.png

  • Physics-Mechanical Properties of Fluids-79632.png

  • Physics-Mechanical Properties of Fluids-79633.png
Two soap bubbles of radii r1 and r2 equal to 4 cm and 5 cm are touching each other over a common surface S1S2 (Shown in figure). Its radius will be
Physics-Mechanical Properties of Fluids-79635.png
  • 4 cm
  • 20 cm
  • 5 cm
  • 4.5 cm
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 Nm–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
Two soap bubbles have different radii but their surface tension is the same. Mark the correct statement
  • Internal pressure of the smaller bubble is higher than the internal pressure of the larger bubble
  • Pressure of the larger bubble is higher than the smaller bubble
  • Both bubbles have the same internal pressure
  • None of the above
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 ?

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  • 2)
    Physics-Mechanical Properties of Fluids-79640.png

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  • Physics-Mechanical Properties of Fluids-79642.png
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-79644.png

  • Physics-Mechanical Properties of Fluids-79645.png

  • Physics-Mechanical Properties of Fluids-79646.png
A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ω then
Physics-Mechanical Properties of Fluids-79647.png
  • Water levels in both sections A and B go up
  • Water level in Section A goes up and that in B comes down
  • Water level in Section A comes down and that in B it goes up
  • Water levels remain same in both sections
If the atmospheric pressure is Pa, then the pressure P at depth h below the surface of a liquid of density ρ open to the atmosphere is

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  • 2)
    Physics-Mechanical Properties of Fluids-79649.png

  • Physics-Mechanical Properties of Fluids-79650.png

  • Physics-Mechanical Properties of Fluids-79651.png

  • Physics-Mechanical Properties of Fluids-79652.png
In making an alloy, a substance of specific gravity s1 and mass m1 is mixed with another substance of specific gravity s2 and mass m2 ; then the specific gravity of the alloy is

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  • 2)
    Physics-Mechanical Properties of Fluids-79654.png

  • Physics-Mechanical Properties of Fluids-79655.png

  • Physics-Mechanical Properties of Fluids-79656.png
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 other is 48 g, its density in g/cm3 is
  • 4/3
  • 3/2
  • 3
  • 5
In the figure, the velocity V3 will be
Physics-Mechanical Properties of Fluids-79664.png
  • Zero
  • 4 ms–1
  • 1 ms–1
  • 3 ms–1
  • 2 ms–1

Physics-Mechanical Properties of Fluids-79666.png
  • Gravitational head, pressure head and velocity head
  • Gravity, gravitational head and velocity head
  • Pressure head, gravitational head and velocity head
  • Gravity, pressure and velocity head
An L-shaped tube with a small orifice is held in a water stream as shown in fig. The upper end of the tube is 10.6 cm above the surface of water. What will be the height of the jet of water coming from the orifice? Velocity of water stream is 2.45 m/s
Physics-Mechanical Properties of Fluids-79667.png
  • Zero
  • 20.0 cm
  • 10.6 cm
  • 40.0 cm
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
Physics-Mechanical Properties of Fluids-79669.png

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    Physics-Mechanical Properties of Fluids-79671.png

  • Physics-Mechanical Properties of Fluids-79672.png

  • Physics-Mechanical Properties of Fluids-79673.png
When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation? (The cross sectional areas are the same).
Physics-Mechanical Properties of Fluids-79675.png
  • 1 < 2 < 3
  • 2 < 3 < 1
  • 3 < 2 < 1
  • 3 < 1 < 2

Physics-Mechanical Properties of Fluids-79676.png
  • Thrust
  • Pressure
  • Angle
  • Viscosity
Choose the correct statement(s) for a cricket ball that is spinning clockwise through air
S1 : Streamlines of air are symmetric around the ball.
S2 : The velocity of air above the ball relative to it is larger than that below the ball.
S3 : The velocity of air above the ball relative to it is smaller than that below the ball.
S4 : There is a net upward force on the ball.
  • S1, S2 and S4
  • S1 and S4
  • S4 only
  • S3 only
The velocity of the surface layer of water in a river of depth 10 m is 5 m s–1. The shearing stress between the surface layer and the bottom layer is (Coefficient of viscosity of water, η = 10–3 SI units)
  • 0.6 × 10–3 Nm–2
  • 0.8 × 10–3 Nm–2
  • 0.5 × 10–3 Nm–2
  • 10–3 Nm–2
  • 1 Nm–2
0:0:1


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