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Questions and Answers
What happens to a perfect elastic body when the deforming force is removed?
What happens to a perfect elastic body when the deforming force is removed?
It completely regains its original shape.
Define a plastic body in the context of deformation.
Define a plastic body in the context of deformation.
A plastic body remains in a deformed state and does not regain its original shape.
What kind of stress is generated when a rod's length increases due to an external force?
What kind of stress is generated when a rod's length increases due to an external force?
Tensile stress.
Explain the difference between longitudinal stress and shearing stress.
Explain the difference between longitudinal stress and shearing stress.
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How is stress defined in relation to force and area?
How is stress defined in relation to force and area?
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What is the relationship between stress and pressure?
What is the relationship between stress and pressure?
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Identify two types of longitudinal stress and describe them.
Identify two types of longitudinal stress and describe them.
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What occurs during static equilibrium regarding restoring and deforming forces?
What occurs during static equilibrium regarding restoring and deforming forces?
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What is elasticity in the context of materials?
What is elasticity in the context of materials?
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Explain the state of a perfectly elastic body after removing deforming forces.
Explain the state of a perfectly elastic body after removing deforming forces.
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What causes the restoring forces in a body when it is deformed?
What causes the restoring forces in a body when it is deformed?
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What are the three types of deformations that can occur in a body?
What are the three types of deformations that can occur in a body?
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Define deforming force and its effect on a material.
Define deforming force and its effect on a material.
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What is the difference between a perfectly plastic material and a partially elastic material?
What is the difference between a perfectly plastic material and a partially elastic material?
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What role do intermolecular forces play in elasticity?
What role do intermolecular forces play in elasticity?
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How does the arrangement of molecules in a solid influence its elasticity?
How does the arrangement of molecules in a solid influence its elasticity?
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What defines the difference between stress and pressure in materials?
What defines the difference between stress and pressure in materials?
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Explain the significance of the proportional limit in the context of Hooke's Law.
Explain the significance of the proportional limit in the context of Hooke's Law.
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What happens to a material when it reaches its yield point?
What happens to a material when it reaches its yield point?
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What are the three types of stress that can be present in a material?
What are the three types of stress that can be present in a material?
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What is meant by elastic modulus, and why is it important?
What is meant by elastic modulus, and why is it important?
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Describe the ultimate stress point in a stress-strain curve.
Describe the ultimate stress point in a stress-strain curve.
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How do the upper and lower yielding points vary in a material’s yield behavior?
How do the upper and lower yielding points vary in a material’s yield behavior?
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What is the relationship between tensile strength and material failure?
What is the relationship between tensile strength and material failure?
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What is the fracture point of a material and why is it significant?
What is the fracture point of a material and why is it significant?
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Describe the process of heat conduction and provide an example.
Describe the process of heat conduction and provide an example.
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What distinguishes thermal conductors from insulators?
What distinguishes thermal conductors from insulators?
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Explain convection and give an example of where it occurs.
Explain convection and give an example of where it occurs.
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What is radiation in the context of heat transfer?
What is radiation in the context of heat transfer?
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Why is radiation heat transfer not dependent on the medium?
Why is radiation heat transfer not dependent on the medium?
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What role does molecular movement play in convection?
What role does molecular movement play in convection?
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Identify the key similarity between conduction and convection.
Identify the key similarity between conduction and convection.
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What is the Seebeck Effect?
What is the Seebeck Effect?
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Explain the Peltier Effect and its significance.
Explain the Peltier Effect and its significance.
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Describe the role of temperature gradients in the thermoelectric effect.
Describe the role of temperature gradients in the thermoelectric effect.
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What is the significance of the Wiedemann-Franz law?
What is the significance of the Wiedemann-Franz law?
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How does a thermocouple function?
How does a thermocouple function?
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In the context of the thermoelectric effect, what occurs when there is a potential difference between two points in a material?
In the context of the thermoelectric effect, what occurs when there is a potential difference between two points in a material?
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What materials are typically used in thermoelectric devices and why?
What materials are typically used in thermoelectric devices and why?
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Discuss one practical application of the thermoelectric effect.
Discuss one practical application of the thermoelectric effect.
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What is the Thomson effect and how does it relate to the Seebeck and Peltier effects?
What is the Thomson effect and how does it relate to the Seebeck and Peltier effects?
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Explain the significance of free charge carriers in the Thomson effect.
Explain the significance of free charge carriers in the Thomson effect.
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List two practical applications of thermoelectricity.
List two practical applications of thermoelectricity.
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Using the Debye model, how is specific heat in solids derived?
Using the Debye model, how is specific heat in solids derived?
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What does Poisson's ratio indicate about a cylinder experiencing longitudinal stress with unchanged volume?
What does Poisson's ratio indicate about a cylinder experiencing longitudinal stress with unchanged volume?
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What is the relationship between the elastic potential energy density and stress and strain?
What is the relationship between the elastic potential energy density and stress and strain?
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How does cutting a spring into four parts affect the force constant of each part?
How does cutting a spring into four parts affect the force constant of each part?
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Demonstrate how the work done on a wire relates to its Young's modulus.
Demonstrate how the work done on a wire relates to its Young's modulus.
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Study Notes
Engineering Physics - 1
- Subject Code: 303192101
- Unit 1 covers Properties of Materials
- Instructor: Dr. Samrat Sarkar (Assistant Professor)
- Department: Applied Sciences and Humanities, PIET
Chapter 1A: Elastic Properties of Materials
- Introduction to elasticity, toughness, plasticity, hardness, brittleness, ductility, malleability, and stiffness as mechanical properties of materials.
Elasticity
- Elasticity is the inherent property of a body to return to its original shape after the deforming force is removed.
- A perfectly elastic body completely regains its original shape.
- A perfectly plastic body does not regain its original shape after deforming forces are removed.
- Partially elastic bodies partially regain their original shape.
- Elasticity arises from internal forces within the body resisting deformation.
- These internal forces attempt to restore the body to its original shape.
Reason for Elasticity
- Solids are composed of many molecules/atoms arranged in a specific manner.
- Intermolecular forces (coulombic forces) act on each molecule.
- Molecules are in stable equilibrium positions.
- Deforming forces cause molecules to shift from equilibrium positions.
- Intermolecular forces act as restoring forces, pulling molecules back to their original positions, restoring the body's shape.
Some Definitions
- Deforming force: A force applied to a body that changes its shape.
- Restoring force: The internal force that opposes the deforming force.
Elastic Body
- A body that completely regains its original shape after the removal of a deforming force is called a perfect elastic body.
Plastic Body
- A body that does not regain its original shape after the removal of the deforming force is called a plastic body.
Stress
- Stress is defined as the restoring force per unit cross-sectional area of a deformed body in equilibrium.
- Stress = Force/Area
- SI unit of stress is Nm⁻² or Pascal (Pa)
- Dimensional formula of stress is M¹L⁻¹T⁻².
Types of Stress
- Longitudinal stress (Tensile and Compressive)
- Volume Stress (Hydraulic stress)
- Shearing Stress (Tangential stress)
Strain
- Strain is a measure of deformation caused by external forces.
- Types of strain include longitudinal strain, volume strain, and shearing strain.
Stress versus Pressure
- Stress is the internal resistance to deformation.
- Pressure is the force applied per unit area.
- Pressure is always a positive force.
- Stress can be positive or negative.
- Stress is developed internally, Pressure is exerted externally.
Elastic Moduli
- Present diagrams of Young's modulus, Shear modulus, Bulk modulus, and Poisson's ratio.
Hooke's Law
- For small deformations, stress is directly proportional to strain.
- Stress ∝ Strain
- Stress = Constant × Strain
- The constant of proportionality is known as the modulus of elasticity.
Model of Elastic Behaviour
- OA (Proportional limit), elastic limit, lower-upper yield points, ultimate stress, breaking or rupture point.
- Hooke's Law, defined as the strain in a material.
Mechanical Properties: Definitions
- Elasticity: Ability of a material to deform/return to its original shape.
- Plasticity: Ability of a material to experience permanent deformation without fracturing.
- Toughness: Resistance of a material to fracture while absorbing energy.
- Hardness: Resistance to indentation, scratching, or abrasion.
- Brittleness: Tendency to fracture with little or no deformation.
- Stiffness: Resistance to deformation under an applied load.
- Malleability: Ability to be hammered or pressed into thin sheets without fracturing.
- Ductility: Ability to be drawn into thin wires without breaking.
Chapter 1B: Thermal Properties of Materials
- Includes modes of heat transfer (conduction, convection, radiation).
Modes of Heat Transfer
- Conduction: Heat transfer through direct contact between molecules, primarily in solids.
- Convection: Heat transfer in fluids due to the movement of molecules/fluids, mostly in liquids and gases.
- Radiation: Heat transfer through electromagnetic waves, independent of an intervening medium.
Thermal Conductivity
- Covers thermal conductivity and its expression.
Electric Conductivity
- Also covers electric conductivity and its expression.
Electrical versus Thermal Conductivity
- Compares electrical and thermal conductivity in terms of properties, symbols, expressions, driving force, current, and densities. Also includes carrier concentration, carrier charge, carrier relaxation time, and relevant assumptions in each.
Wiedemann-Franz Law
- Relates thermal conductivity, electrical conductivity, and absolute temperature (T), with the Lorenz number (L).
Thermoelectric Effect
- The Seebeck Effect, Peltier Effect, and Thomson Effect.
- Describe how they relate to temperature differences and electricity.
Phonons
- Tiny packets of vibrational energy in a solid.
- Analogous to photons of light energy.
- Vibrational waves representing atomic vibrations within the material.
- Carry specific energy amounts related to their frequency.
- Acoustic and Optical phonons are discussed, along with their roles in heat conduction in materials which don't conduct electricity.
Specific Heats of Solids
- Amount of heat needed to raise the temperature of unit mass by one degree Celsius (or Kelvin).
- Mathematical descriptions of the specific heat of solids—classical (Dulong-Petit's Law), Einstein's, and Debye's.
Statistical Distributions
- Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac statistics.
- Classical and quantum statistics compared in the context of particles.
Problems (Numerical Exercises on Material Properties).
- Includes problems related to calculating elasticity, Poisson's ratio, spring force constants, bulk modulus, work done in stretching a wire, and elastic potential energy.
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Description
This quiz covers the fundamental concepts of elasticity as part of the Engineering Physics course. Explore the definitions and differences between elasticity, toughness, plasticity, and other mechanical properties of materials. Test your understanding of how these properties influence material behavior under stress.