Question types

Mechanical Properties of Fluids question types

449 questions across 7 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

449
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Sample Questions

Mechanical Properties of Fluids questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A capillary tube of radius $R$ is immersed in water and water rises in it to a height $H.$ Mass of water in capillary tube is $M$. If the radius of the tube is doubled, mass of water that will rise in capillary will be:
  • $2M.$
  • B
    $M.$
  • C
    $\frac{\text{M}}{2}$
  • D
    $4M.$

Answer: A.

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For a ball falling in a liquid with constant velocity, ratio of resistance force due to the liquid to that due to gravity is:
  • $1$
  • B
    $\frac29\frac{\text{a}^2\rho\text{g}}{\eta^2}$
  • C
    $\frac29\frac{\text{a}^2(\rho-\sigma)\text{g}}{\eta}$
  • D
    None of these.

Answer: A.

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When a large bubble rises from the bottom of a lake to the surface, its radius doubles. One atmosphere is equal to that of a column of water of height $H.$ The depth of the lake is:
  • A
    $H.$
  • B
    $2H.$
  • $7H.$
  • D
    $8H$

Answer: C.

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What is the shape when a non$-$wetting liquid in displaced in a capillary tube?
  • A
    Concave upwards.
  • B
    Convex upwards.
  • Concave downwards.
  • D
    Convex downwards.

Answer: C.

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Fill in the blanks using the word (s) from the list appended with statement: For solids with elastic modulus of rigidity, the shearing force is proportional to . . . while for fluids it is proportional to . . . (shear strain/ rate of shear strain).
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Fill in the blanks using the word (s) from the list appended with statement: For solids with elastic modulus of rigidity, the shearing force is proportional to . . . while for fluids it is proportional to . . . (shear strain/ rate of shear strain).
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A tank with a square base of area $1.0 \mathrm{~m}^2$ is divided by a vertical partition in the middle. The bottom of the partition has a small-hinged door of area $20 \mathrm{~cm}^2$. The tank is filled with water in one compartment, and an acid (of relative density 1.7 ) in the other, both to a height of 4.0 m . compute the force necessary to keep the door close.
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During blood transfusion the needle is inserted in a vein where the gauge pressure is 2000Pa. At what height must the blood container be placed so that blood may just enter the vein? [Use the density of whole blood from Table 10.1].
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Fill in the blanks using the word (s) from the list appended with statement: For a fluid in steady flow, the increases inflow speed at a constriction follows from…… while the decrease of pressure there follows from….....(conservation of mass/ Bernoulli’s principle).
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Fill in the blanks using the word (s) from the list appended with statement: Viscosity of gases . . . with temperature, whereas viscosity of liquids . . . with temperature. (increases/ decreases)
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Explain why Water on a clean glass surface tends to spread out while mercury on the same surface tends to form drops. (Put differently, water wets glass while mercury does not.)
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Q 213 Marks Question3 Marks
What is the pressure inside the drop of mercury of radius $3.00mm$ at room temperature? Surface tension of mercury at that temperature $(20^\circ C) is 4.65 \times 10^{–1}N m^{–1}$. The atmospheric pressure is $1.01 × 105Pa$. Also give the excess pressure inside the drop.
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Q 223 Marks Question3 Marks
In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are $70m s^{–1}$ and $63m s^{-1}$ respectively. What is the lift on the wing if its area is $2.5m^2$? Take the density of air to be $1.3kg m^{–3}$.
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Q 233 Marks Question3 Marks
A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with $10.0cm$ of water in one arm and $12.5cm$ of spirit in the other. What is the specific gravity of spirit?
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Q 243 Marks Question3 Marks
A vertical off-shore structure is built to withstand a maximum stress of $109 Pa$. Is the structure suitable for putting up on top of an oil well in the ocean? Take the depth of the ocean to be roughly $3km$, and ignore ocean currents.
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Q 253 Marks Question3 Marks
A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000kg$. The area of cross-section of the piston carrying the load is $425cm^2$. What maximum pressure would the smaller piston have to bear?
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  1. It is known that density r of air decreases with height y as $\rho_0\text{e}^{-\frac{\text{y}}{\text{y}_0}}$ where $\rho=1.25\text{kg m}^{-3}$ is the density at sea level, and $y_0$ is a constant. This density variation is called the law of atmospheres. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions). Also assume that the value of g remains constant.
  2. A large He balloon of volume $1425m^3$ is used to lift a payload of 400kg. Assume that the balloon maintains constant radius as it rises. How high does it rise? [Take $y^0 = 8000m$ and $rHe = 0.18 kgm^{–3}​​​​​​​$].
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What is the excess pressure inside a bubble of soap solution of radius 5.00 mm , given that the surface tension of soap solution at the temperature $\left(20^{\circ} \mathrm{C}\right)$ is $2.50 \times 10-2 \mathrm{Nm}^{-1}$ ? If an air bubble of the same dimension were formed at depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20 ), what would be the pressure inside the bubble? ( 1 atmospheric pressure is $1.01 \times 105 \mathrm{~Pa})$.
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Glycerine flows steadily through a horizontal tube of length 1.5 m and radius 1.0 cm . If the amount of glycerine collected per second at one end is $4.0 \times 10^{-3} \mathrm{~kg} \mathrm{~s}^{-1}$, what is the pressure difference between the two ends of the tube? (Density of glycerine $=1.3 \times 103 \mathrm{~kg} \mathrm{~m}^{-3}$ and viscosity of glycerine $=0.83 \mathrm{~Pa}$ ). [You may also like to check if the assumption of laminar flow in the tube is correct].
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  1. What is the largest average velocity of blood flow in an artery of radius $2×10 – 3m$ if the flow must remain lanimar?
  2. What is the corresponding flow rate ? (Take viscosity of blood to be $2.084 × 10–3 Pa/ s$).
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Read the passage given below and answer the following questions from 1 to 3. Bernoulli's Theorem It states that for the streamline flow of an ideal liquid through a tube, the total energy (the sum of pressure energy, the potential energy and kinetic energy) per unit volume remains constant at every cross-section throughout the tube.$\text{P}+\text{pgh}+\frac{1}{2}\text{pv}^2$ = constant
or $\frac{\text{P}}{\text{pg}}+\text{h}+\frac{1}{2}\frac{\text{v}^2}{\text{g}}$ = another constant Here, $\frac{\text{P}}{\text{pg}}$ = pressure head; h = potential head and $\frac{1}{2}\frac{\text{v}^2}{\text{g}}$ velocity head. If the liquid is flowing through a horizontal tube, then h is constant, then according to Bernoulli’s theorem,$\frac{\text{P}}{\text{pg}}+\frac{1}{2}\frac{\text{v}^2}{\text{g}}$ constant
Bernoulli’s theorem is based on law of conser - vation of energy.
  1. Bernoulli’s equation for steady, non-viscous, incompressible flow expresses the:
  1. Conservation of linear momentum
  2. Conservation of angular momentum
  3. Conservation of energy
  4. Conservation of mass
  1. Applications of Bernoulli’s theorem can be seen in:
  1. Dynamic lift of aeroplane
  2. Hydraulic press
  3. Helicopter
  4. None of these
  1. A tank filled with fresh water has a hole in its bottom and water is flowing out of it. If the size of the hole is increased, then:
  1. The volume of water flowing out per second will decrease.
  2. The velocity of outflow of water remains unchanged.
  3. The volume of water flowing out per second remains zero.
  4. Both (b) and (c)
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Read the passage given below and answer the following questions from $1$ to $5$. Surface Tension The property due to which the free surface of liquid tends to have minimum surface area and behaves like a stretched membrane is called surface tension. It is a force per unit length acting in the plane of interface between the liquid and the bounding surface i.e., $\text{S}=\frac{\text{F}}{\text{L}},$ where F = force acting on either side of imaginary line on surface and L = length of imaginary line. Surface tension decreases with rise in temperature. Highly soluble impurities increases surface tension and sparingly soluble impurities decreases surface tension.
  1. The excess pressure inside a soap bubble is three times than excess pressure inside a second soap bubble, then the ratio of their surface area is:
  1. 9 : 1
  2. 1 : 3
  3. 1 : 9
  4. 3 : 1
  1. Which of the following statements is not true about surface tension?
  1. A small liquid drop takes spherical shape due to surface tension.
  2. Surface tension is a vector quantity.
  3. Surface tension of liquid is a molecular phenomenon.
  4. Surface tension of liquid depends on length but not on the area.
  1. Which of the following statement is not true about angle of contact?
  1. The value of angle of contact for pure water and glass is zero.
  2. Angle of contact increases with increase in temperature of liquid.
  3. If the angle of contact of a liquid anda solid surface is less than 90°, then the liquid spreads on the surface of solid.
  4. Angle of contact depend upon the inclination of the solid surface to the liquid surface.
  1. Which of the following statements is correct?
  1. Viscosity is a vector quantity.
  2. Surface tension is a vector quantity.
  3. Reynolds number is a dimensionless quantity.
  4. Angle of contact is a vector quantity.
  1. A liquid does not wet the solid surface if the angle of contact is:
  1. Equal to 90°
  2. Equal to 45°
  3. Greater than 90°
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