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# DC Pandey Elasticity Solutions

DC Pandey Mechanics Part II Chapter 12 ‘Elasticity’ put forth all the important concepts that are required to understand elasticity, stress, strain, thermal stress and strain, strain curve and Hooke’s Law. You will also learn about the concepts of modulus of Elasticity, Potential energy in a stretched wire, and energy density in this chapter. Our solutions for DC Pandey Solutions Mechanics Part II for Elasticity will help you prepare for Class 11 and Class 12 exams along with competitive exams like JEE and NEET.

In this chapter, there is just 1 introductory exercise and 2 separate sections devoted to JEE and AIEEE (Now JEE Mains). The questions included in this portion have been carefully selected after analyzing the earlier year exam papers. Once you engage with these exercise questions you will be able to deal with problems related to material property, the relation between temperature and pressure, isothermal bulk, elastic potential energy and equilibrium.

DC Pandey Mechanics Part II Elasticity Solutions have been formulated to strengthen your basics from the chapter and assist you in developing a solid command on them. Our subject experts have made sure that all your necessities for a productive and pressure-free learning experience are met. With the help of our clear explanations and stepwise solutions, you will surely come out with flying colours in your exams.

## Important Topics for DC Pandey Mechanics Part II Solutions Chapter 12: Elasticity

Young’s Modulus

In this chapter, you will learn about Young’s Modulus. Young’s modulus is also termed as the Modulus of Elasticity and it has been explained as the mechanical property of a material which enables it to withstand the compression or the elongation with respect to its length. It has been denoted by the alphabets E or Y. You can refer to it as tensile modulus as well and can define it as a measure of mechanical properties of linear elastic solids. Rods and wires are examples of such solids.

Linear Elastic Solids

Elasticity is the property of a body which enables it to regain its original shape and size when the deforming forces are removed. A body which possesses such property along with its solid molecular composition is termed to be a linearly elastic solid.

Stress

In Chapter 12, you will also come across the topic – stress. In terms of Physics, a force that acts on the unit area of a material is known as stress. And the effect that stress leaves on a body is known as strain. Stress units are the measure of force that is experienced by a body. When a deforming force applied itself on an object the composition of the object changes i.e. the object gets deformed.

The opposite force which works on the object in order to restore the shape of the object to its original form can be looked upon as the restoring force which is equal in magnitude but opposite in direction. This restoring force is known as stress and is expressed as Pascal. It is also known as a tensor quantity and is measured using N/m*m

Types of Stress

In DC Pandey Mechanics Part II Solutions Elasticity Chapter, you will learn about the two different forms of stress which are Normal Stress and Tangential Stress. When the direction of the deforming is perpendicular to the cross-sectional area of the body, it is known as Normal Stress.

When the length of the wire or the volume of body changes, they undergo normal stress. In the case of Tangential Stress, we can consider a cylinder.

When equal and opposite forces are applied to the cross-sectional areas of a cylinder then the stress that is experienced by the cylindrical body is known as Tangential Stress.

In this chapter, you will learn about their mathematical representation and their formulas. These types are very important from the perspective of application-based numerical questions and have widely been used in the chapter.

### Exercise-wise Discussion of DC Pandey Mechanics Part II Solutions Chapter 12: Elasticity

Introductory Exercise 12.1

• This chapter has just one introductory exercise and contains three questions only.
• These questions are simple numerical problems based on a direct formula of concepts like Young’s Modulus.

AIEEE Corner (Now a part of JEE)

• This exercise consists of two different sections – Subjective Questions and Objective Questions.
• There are 15 subjective questions and they revolve around cylindrical steel wire, radius, tensile force, elastic limit, stored energy, tension, the density of water and cross-sectional area.
• There are 14 problems under the objective questions and they revolve around bulk modulus, constant velocity, angular velocity, cross-sectional area, potential molecules and elasticity.

JEE Corner

• The exercise has a total of 3 sections each having different kinds of problems ideal to prepare for JEE Physics.
• It begins with Assertion and Reason, which has 7 questions. These deal with pressure increment, pressure-temperature relationship, the ratio of stress and strain and isothermal bulk.
• The second section comprises of More than One Correct Option which has 3 problems. All of these questions have sup parts which are numerical based questions. These deal with concepts like elastic potential energy, gravitational potential energy, work done and Young’s Modulus.
• There is another section Match the Columns and it has 2 different sets of information which tackle topics like stress, strain, modulus of elasticity, longitudinal force and force constant of a wire.

## Why Use DC Pandey Mechanics Solutions Part II Solutions Chapter 12: Elasticity

• At Instasolv, we ensure that all our solutions are presented in a detailed and stepwise manner.
• Our Solutions for DC Pandey Mechanics Part II Elasticity have each and every question that has been included in the chapter exercise.
• We make sure that you are able to revise and practise all the concepts that you have picked from the chapter.
• The DC Pandey Solutions prepared by our experts are as per the latest curriculum for Class 11 and Class 12 Physics.
• They are easy to access and absolutely free of cost.
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