Strain energy is the elastic potential energy stored in a material when it is stretched or compressed within the elastic limit. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding. For more pleaRead more
Strain energy is the elastic potential energy stored in a material when it is stretched or compressed within the elastic limit. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
Hooke's Law Hooke's Law is a principle of physics that describes the behavior of elastic materials when subjected to forces. It states that the deformation (strain) of an elastic object is directly proportional to the force (stress) applied to it, provided the material's elastic limit is not exceedeRead more
Hooke’s Law
Hooke’s Law is a principle of physics that describes the behavior of elastic materials when subjected to forces. It states that the deformation (strain) of an elastic object is directly proportional to the force (stress) applied to it, provided the material’s elastic limit is not exceeded.
Mathematical Expression:
Hooke’s Law is expressed mathematically as:
\[
F = -kx
\]
Where:
– **F** is the force applied to the object (in newtons, N).
– **k** is the spring constant or stiffness of the material (in N/m), which measures the object’s resistance to deformation.
– **x** is the displacement or deformation of the object from its equilibrium position (in meters, m).
Key Points:
1. **Proportionality:** The force and displacement are proportional; doubling the displacement doubles the force, as long as the material stays within its elastic limit.
2. **Elastic Limit:** Beyond a certain point, called the elastic limit, the material will no longer obey Hooke’s Law. Permanent deformation or failure may occur.
3. **Negative Sign:** The negative sign in the formula indicates that the force exerted by the material is in the opposite direction of the displacement, representing a restoring force.
Applications of Hooke’s Law:
– **Springs:** Used to calculate forces in springs and other elastic systems.
– **Engineering:** Applied in structural analysis and material science to determine stress and strain in materials.
– **Oscillations:** Forms the basis for analyzing simple harmonic motion in oscillatory systems.
Limitations:
– Hooke’s Law is valid only for materials and forces within the elastic region.
– It does not apply to materials that exhibit plastic deformation or other non-linear behaviors.
Understanding Hooke’s Law is essential for various fields of physics and engineering, as it provides a foundation for studying elasticity and material behavior.
This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
Young's modulus has the same unit as stress, 𝑁/𝑚², or Pascal. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/classRead more
Young’s modulus has the same unit as stress, 𝑁/𝑚², or Pascal. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
Stress is force per unit area, and its SI unit is 𝑁/𝑚², which is equivalent to a Pascal (𝑃𝑎). This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding. For more please visit here: https://www.tiwariaRead more
Stress is force per unit area, and its SI unit is 𝑁/𝑚², which is equivalent to a Pascal (𝑃𝑎). This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
The modulus used to study the volume change under uniform pressure is called the Bulk Modulus (K). It is defined as the ratio of the change in pressure to the relative change in volume. The Bulk Modulus quantifies how incompressible a substance is under uniform pressure. The higher the bulk modulus,Read more
The modulus used to study the volume change under uniform pressure is called the Bulk Modulus (K).
It is defined as the ratio of the change in pressure to the relative change in volume. The Bulk Modulus quantifies how incompressible a substance is under uniform pressure. The higher the bulk modulus, the less compressible the material is.
Mathematically, it is given by:
K = -V * (dP/dV)
Where:
K = Bulk Modulus
V = Initial volume
dP = Change in pressure
dV = Change in volume
This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
What is the strain energy in a stretched material?
Strain energy is the elastic potential energy stored in a material when it is stretched or compressed within the elastic limit. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding. For more pleaRead more
Strain energy is the elastic potential energy stored in a material when it is stretched or compressed within the elastic limit. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-8/
Hooke’s law defines the proportional relationship between stress and strain within the elastic limit.
Hooke's Law Hooke's Law is a principle of physics that describes the behavior of elastic materials when subjected to forces. It states that the deformation (strain) of an elastic object is directly proportional to the force (stress) applied to it, provided the material's elastic limit is not exceedeRead more
Hooke’s Law
Hooke’s Law is a principle of physics that describes the behavior of elastic materials when subjected to forces. It states that the deformation (strain) of an elastic object is directly proportional to the force (stress) applied to it, provided the material’s elastic limit is not exceeded.
Mathematical Expression:
Hooke’s Law is expressed mathematically as:
\[
F = -kx
\]
Where:
– **F** is the force applied to the object (in newtons, N).
– **k** is the spring constant or stiffness of the material (in N/m), which measures the object’s resistance to deformation.
– **x** is the displacement or deformation of the object from its equilibrium position (in meters, m).
Key Points:
1. **Proportionality:** The force and displacement are proportional; doubling the displacement doubles the force, as long as the material stays within its elastic limit.
2. **Elastic Limit:** Beyond a certain point, called the elastic limit, the material will no longer obey Hooke’s Law. Permanent deformation or failure may occur.
3. **Negative Sign:** The negative sign in the formula indicates that the force exerted by the material is in the opposite direction of the displacement, representing a restoring force.
Applications of Hooke’s Law:
– **Springs:** Used to calculate forces in springs and other elastic systems.
– **Engineering:** Applied in structural analysis and material science to determine stress and strain in materials.
– **Oscillations:** Forms the basis for analyzing simple harmonic motion in oscillatory systems.
Limitations:
– Hooke’s Law is valid only for materials and forces within the elastic region.
– It does not apply to materials that exhibit plastic deformation or other non-linear behaviors.
Understanding Hooke’s Law is essential for various fields of physics and engineering, as it provides a foundation for studying elasticity and material behavior.
This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-8/
What is the unit of Young’s modulus?
Young's modulus has the same unit as stress, 𝑁/𝑚², or Pascal. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding. For more please visit here: https://www.tiwariacademy.com/ncert-solutions/classRead more
Young’s modulus has the same unit as stress, 𝑁/𝑚², or Pascal. This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-8/
What is the SI unit of stress?
Stress is force per unit area, and its SI unit is 𝑁/𝑚², which is equivalent to a Pascal (𝑃𝑎). This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding. For more please visit here: https://www.tiwariaRead more
Stress is force per unit area, and its SI unit is 𝑁/𝑚², which is equivalent to a Pascal (𝑃𝑎). This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-8/
Which modulus is used to study the volume change under uniform pressure?
The modulus used to study the volume change under uniform pressure is called the Bulk Modulus (K). It is defined as the ratio of the change in pressure to the relative change in volume. The Bulk Modulus quantifies how incompressible a substance is under uniform pressure. The higher the bulk modulus,Read more
The modulus used to study the volume change under uniform pressure is called the Bulk Modulus (K).
It is defined as the ratio of the change in pressure to the relative change in volume. The Bulk Modulus quantifies how incompressible a substance is under uniform pressure. The higher the bulk modulus, the less compressible the material is.
Mathematically, it is given by:
K = -V * (dP/dV)
Where:
K = Bulk Modulus
V = Initial volume
dP = Change in pressure
dV = Change in volume
This question related to Chapter 8 physics Class 11th NCERT. From the Chapter 8. Mechanical Properties of Solids. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-8/