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Questions and Answers
What happens to the surface tension of a liquid as the temperature increases?
What happens to the surface tension of a liquid as the temperature increases?
What is the effect of contamination on the surface tension of a liquid?
What is the effect of contamination on the surface tension of a liquid?
What shape does a liquid take when it is weightless?
What shape does a liquid take when it is weightless?
What is the angle of contact between pure water and glass?
What is the angle of contact between pure water and glass?
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What is the critical temperature of a liquid?
What is the critical temperature of a liquid?
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What effect do wetting agents have on the angle of contact between a liquid and a solid surface?
What effect do wetting agents have on the angle of contact between a liquid and a solid surface?
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What is the relationship between the angle of contact and temperature?
What is the relationship between the angle of contact and temperature?
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What is the effect of surface tension on the shape of a liquid drop?
What is the effect of surface tension on the shape of a liquid drop?
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What are the two main forces acting on a liquid droplet?
What are the two main forces acting on a liquid droplet?
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Which force is more dominant for smaller liquid droplets?
Which force is more dominant for smaller liquid droplets?
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Which of the following statements is TRUE about the relationship between the angle of contact and capillary action?
Which of the following statements is TRUE about the relationship between the angle of contact and capillary action?
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Which of the following factors DOES NOT affect the flow of a liquid through porous media?
Which of the following factors DOES NOT affect the flow of a liquid through porous media?
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Consider a liquid contained in a vessel where adhesive forces are weak compared to cohesive forces. What will be the shape of the liquid surface near the solid?
Consider a liquid contained in a vessel where adhesive forces are weak compared to cohesive forces. What will be the shape of the liquid surface near the solid?
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Why does mercury not wet glass, wood, or iron?
Why does mercury not wet glass, wood, or iron?
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Which of the following is NOT an example of capillarity in everyday life?
Which of the following is NOT an example of capillarity in everyday life?
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How does ploughing fields help preserve moisture in the soil?
How does ploughing fields help preserve moisture in the soil?
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What effect does ploughing have on soil porosity?
What effect does ploughing have on soil porosity?
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How does ploughing improve soil structure?
How does ploughing improve soil structure?
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Why is it important for soil to hold onto moisture?
Why is it important for soil to hold onto moisture?
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In the ascent formula, what represents the liquid's density?
In the ascent formula, what represents the liquid's density?
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What does the term 'capillary rise' refer to in the context of the ascent formula?
What does the term 'capillary rise' refer to in the context of the ascent formula?
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What does the coefficient of viscosity represent?
What does the coefficient of viscosity represent?
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How does viscosity change with temperature for liquids?
How does viscosity change with temperature for liquids?
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What is the dimensional formula of viscosity?
What is the dimensional formula of viscosity?
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In the context of viscosity, which statement is true about gases compared to liquids?
In the context of viscosity, which statement is true about gases compared to liquids?
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What does shear stress relate to in a fluid?
What does shear stress relate to in a fluid?
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Which factor does NOT affect the viscosity of a fluid?
Which factor does NOT affect the viscosity of a fluid?
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When measuring the rate of shear strain, what is typically measured over time?
When measuring the rate of shear strain, what is typically measured over time?
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For a fluid with a unit area of parallel layers, what defines the strain rate?
For a fluid with a unit area of parallel layers, what defines the strain rate?
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What effect does decreasing the area of the cross section of a pipe have on the velocity of water?
What effect does decreasing the area of the cross section of a pipe have on the velocity of water?
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Which of the following best describes Poiseuille’s law?
Which of the following best describes Poiseuille’s law?
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If Pema wants to increase the speed of water flowing from a pipe, what should she do?
If Pema wants to increase the speed of water flowing from a pipe, what should she do?
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What is the relationship between the pressure and the volume flow rate in a pipe according to Poiseuille's law?
What is the relationship between the pressure and the volume flow rate in a pipe according to Poiseuille's law?
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What does the term 'Q' represent in the context of Poiseuille’s law?
What does the term 'Q' represent in the context of Poiseuille’s law?
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What is the formula used to calculate the height of liquid raised in a capillary tube?
What is the formula used to calculate the height of liquid raised in a capillary tube?
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What is the significance of radius 'R' in Poiseuille’s law?
What is the significance of radius 'R' in Poiseuille’s law?
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In the scenario of a capillary tube on an artificial satellite, how does the rise of water compare to an Earth experiment?
In the scenario of a capillary tube on an artificial satellite, how does the rise of water compare to an Earth experiment?
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In Pema's observation, what happens to the distance the water can travel when she presses the pipe's mouth?
In Pema's observation, what happens to the distance the water can travel when she presses the pipe's mouth?
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Which factor is NOT considered in determining volume flow rate according to Poiseuille’s law?
Which factor is NOT considered in determining volume flow rate according to Poiseuille’s law?
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What is the primary characteristic of laminar flow?
What is the primary characteristic of laminar flow?
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Which of the following best describes turbulent flow?
Which of the following best describes turbulent flow?
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What is the effect of surface tension on the height of liquid in a capillary tube?
What is the effect of surface tension on the height of liquid in a capillary tube?
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How is the rise of sap in a capillary tube related to its radius?
How is the rise of sap in a capillary tube related to its radius?
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What factors must be considered when calculating the radius of a capillary tube that raises sap?
What factors must be considered when calculating the radius of a capillary tube that raises sap?
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If water rises to 0.1m in a capillary tube on Earth, what happens to this behavior in space?
If water rises to 0.1m in a capillary tube on Earth, what happens to this behavior in space?
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Study Notes
Chapter 2: Force & Motion in Fluids (7%)
- Fluids adapt to container boundaries, unlike solids. They flow when external force is applied.
- Examples include water, honey, water vapor, and oxygen.
- Acceleration due to gravity (g) is calculated using Newton's law of gravitation.
- The acceleration 'g' is independent of the body's mass.
- Acceleration 'g' also remains relatively constant near the earth's surface.
- Acceleration due to gravity varies with altitude. It decreases as the distance from the Earth's surface increases.
- At sea level, 'g' is approximately 9.81m/s².
- For Earth, G ≈ 6.67 x 10⁻¹¹ Nm²/kg², R ≈ 6.38 x 10⁶ m, Me ≈ 5.98 x 10²⁴ kg.
- For Moon, G ≈ 6.67 x 10⁻¹¹ Nm²/kg², R ≈ 1.74 x 10⁶ m, Mm ≈ 7.35 x 10²² kg.
- The body's mass remains the same regardless of location, but weight differs due to 'g' variations.
- On the Moon, a 1kg object weighs about 1.67 N compared to 9.8N on Earth.
Motion of a Body Falling in Uniform Gravitational Field with Fluid (Air) Resistance
- A falling body experiences gravitational and resisting forces in opposite directions.
- Terminal velocity is the maximum constant velocity reached when resisting force equals the weight.
- Terminal velocity (vt) is calculated using the equation vt = mg/k, where k is a constant.
- Velocity increases exponentially initially and approaches a constant value (terminal velocity).
- Acceleration decreases exponentially with time. As the body reaches terminal velocity, acceleration becomes zero.
Surface Tension
- Surface tension (s) is a property of a liquid's free surface. It tends to minimize surface area.
- The surface acts like a stretched membrane due to cohesive forces within the liquid.
- Spheres have the least surface area for a given volume.
- Surface tension is force per unit length perpendicular to an imaginary line on the liquid's surface (SI unit: N/m).
- Surface tension decreases with increasing temperature.
- Highly soluble substances increase surface tension, while sparingly soluble ones decrease it.
- Examples of surface tension applications include: droplet formation, soap bubbles, insects walking on water.
- Molecular theory of surface tension: Surface molecules are pulled inward by cohesive forces.
- Surface molecules have higher potential energy than molecules inside the liquid.
Molecular Theory for Surface Tension
- Molecules at the surface experience a net downward force to the interior.
- Moving a molecule from the interior to the surface requires work (increase in potential energy).
- Liquid surfaces tend to have minimum surface area.
Surface Film
- Surface film is a thin layer of liquid near the surface, with a thickness equal to the molecular range of the liquid.
- Molecules in this film experience an inward cohesive force.
Factors Affecting Surface Tension
- Surface tension is inversely proportional to temperature.
- Highly soluble substances increase surface tension, while sparingly-soluble substances decrease it.
- Examples include detergent effects, which reduce surface tension, thereby improving cloth cleaning efficiency.
Applications of Surface Tension
- Washing cloths with soap
- Adding flux in soldering
- Spreading of antiseptics
- Floating of objects like ducks on water.
Relation between Surface Tension and Surface Energy
- Surface energy is potential energy per unit area of a liquid's surface.
- The work required to increase a liquid's surface area is stored as surface energy.
- Surface energy is equal to surface tension: T = W/ΔA
Rotation Between Liquid Tension and Surface Energy
- Liquid films have two free surfaces, so work done is double the surface tension times the change in area (2TΔA).
- Surface energy and surface tension relate as T = W/ΔA.
Types of Fluid Flow
- Streamline flow: All particles follow the same path and have same velocity at a given point.
- Tube of flow: Streamlines enclosed by a tube through which a fluid moves.
Laminar Flow
- A continuous flow in parallel layers. Adjacent layers do not mix. Ideal condition for a uniform flow pattern. Velocity is constant.
Turbulent Flow
- Disordered flow with mixing of layers. High speeds and irregularities. Velocity is not constant.
Critical Velocity
- Velocity beyond which fluid flow becomes turbulent.
Viscosity of Fluids
- Resistance to flow due to friction between adjacent layers.
- Affected by temperature and fluid nature (liquids are more viscous than gases).
- Laminar flow is ideal for low velocities and high viscosity.
- Turbulent flow results from high speeds and low viscosity. (Low viscosity means more mixing.)
Reynolds Number
- A dimensionless quantity that predicts the flow pattern (laminar or turbulent).
Bernoulli's Principle
- In a steady streamline flow of an ideal fluid, the total energy (pressure + kinetic + potential) per unit mass remains constant throughout the liquid.
- Relationship: P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂
Capillarity
- The rise or fall of a liquid in a narrow tube (capillary).
- Depends on the liquid's surface tension, contact angle, and the tube's radius.
Equation of Continuity
- For incompressible fluids: A₁v₁ = A₂v₂ (A= area, v = velocity)
- Volume flow rate is constant.
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Description
Test your knowledge on the effects of temperature and contamination on surface tension, the shape of liquids in various conditions, and the dynamics of liquid droplets. This quiz covers principles of physics related to liquid behavior and properties.