HC Verma Solutions Class 11 Chapter 14 - Some Mechanical Properties of Matter

1. Intermolecular Force 

The force which acts between two neighboring molecules is called an Intermolecular Force. Each molecule of a solid feels this intermolecular force.

2. Elasticity

Elasticity is the property of the body to regain its original shape and size. It is generally due to the attraction forces working among molecules and atoms. This force is known as the Elastic Force.

3. Perfectly Elastic Body 

Perfectly elastic bodies are the bodies that regain their perfect shape and size just after the removal of the deforming forces.

4. Plasticity 

It is the opposite property of elasticity. A body cannot regain its original shape and size.

5. Stress

Stress is defined as the force per unit area on the surface when a body is deformed. It is the force that opposes the external force on the body.

Stress = F/ A 

F= Force,    A= Area

SI unit of Stress= Nm-2

Type of Stress

1. Normal Stress

2. Tangential Stress

• Normal Stress: Normal stress is the stress produced perpendicular to the surface of the body. It is also of two types:

1. Tensile Stress

2. Compressive Stress

• Tangential Stress: Tangential stress is the stress which acts parallel to the surface of the body.

6. Strain 

Strain is the ratio of change in size with the original shape of the body. 

It is of three types: 

• Longitudinal Strain

The strain produced in the length of anybody after applying deforming force is called longitudinal strain.

Longitudinal Strain = ∆ L / L

• Volumetric Strain

The strain produced in the volume of a body due to any of the deforming forces is called the volumetric strain.

Volumetric Strain = ∆ V / V

• Shear Strain

The strain produced in the angular inclination of the body is called linear strain.

Shear Strain = ∆ L / L

7. Elastic Limit

Elastic limit is the maximum stress which a body can bear. After applying more stress than the elastic limit on a body, the body will break down.

8. Hooke's Law

Hooke's law states that the ratio of the stress to the strain at any point is constant. This constant is called the modulus of elasticity.  It is applicable only within the elastic limit.

Modulus of Elasticity = Stress / Strain

9. Young's Modulus 

Young's modulus is the ratio of longitudinal stress to the longitudinal strain. It is always constant for every material.

10. Bulk Modulus 

Bulk modulus is the ratio of longitudinal stress to the volumetric strain for any object.

11. Shear Modulus 

Shear modulus is the ratio of the tangential stress to the shear strain.

12. Poisson's Ratio

Lateral strain is the change in diameter (ΔD) to the original diameter (D) of the body. Longitudinal strain is a change in length (Δl) to the original length (l) of anybody. Here, The ratio of lateral strain to the longitudinal strain is called Poisson’s ratio.

Key benefits of using Class 11 HC Verma Solutions for Chapter 14 - Some Mechanical Properties of Matter:

• The solutions are provided by expert Physics teachers, who have a deep understanding of the concepts in the chapter.

• The solutions cover all of the exercises in the chapter, so students can practice solving problems in a variety of contexts.

• The solutions are available in a free PDF, so students can access them anytime, anywhere.

• The given PDF provides a clear and concise explanation of the solutions to the exercises.

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