Mechanical Properties of Solids Class 11 Case Study Questions Physics Chapter 8

Download CBSE and ICSE Books in PDF Format

Reading Time: 7 minutes

Last Updated on April 21, 2025 by XAM CONTENT

Hello students, we are providing case study questions for class 11 Physics. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 11 Physics. In this article, you will find case study questions for cbse class 11 Physics chapter 8 Mechanical Properties of Solids.

Chapter	Mechanical Properties of Solids
Type of Questions	Case Study Questions
Nature of Questions	Competency Based Questions
Board	CBSE
Class	11
Subject	Physics
Useful for	Class 11 Studying Students
Answers provided	Yes
Difficulty level	Mentioned
Important Link	Class 11 Physics Chapterwise Case Study

Customised Study Materials for Teachers, Schools and Coaching Institute

Table of Contents

Case Study Questions on Mechanical Properties of Solids

Case Study Question 1

Stress and Strain in a Wire

Passage:
A metal wire of original length L = 2 m and cross-sectional area A = 1 mm² is stretched by applying a force of 100 N. The student observes that the extension in length is ΔL = 1 mm. She is asked to calculate stress, strain, and Young’s modulus using standard formulas.

Q1. What is the stress in the wire?
(a) $10^6 \mathrm{~Pa}$
(b) $10^7 \mathrm{~Pa}$
(c) $10^8 \mathrm{~Pa}$
(d) $10^5 \mathrm{~Pa}$

Answer: (c)
Explanation:

$$
\text { Stress }=\frac{F}{A}=\frac{100}{1 \times 10^{-6}}=10^8 \mathrm{~Pa}
$$

Q2. What is the strain produced in the wire?
(a) 0.0005
(b) 0.001
(c) 0.01
(d) 0.1

Answer: (b)
Explanation:

$$
\text { Strain }=\frac{\Delta L}{L}=\frac{1 \times 10^{-3}}{2}=0.0005
$$

Q3. What is the Young’s modulus of the material?
(a) $2 \times 10^{11} \mathrm{~Pa}$
(b) $1 \times 10^{11} \mathrm{~Pa}$
(c) $5 \times 10^{10} \mathrm{~Pa}$
(d) $1 \times 10^{10} \mathrm{~Pa}$

Answer: (a)
Explanation:

$$
Y=\frac{\text { Stress }}{\text { Strain }}=\frac{10^8}{0.0005}=2 \times 10^{11} \mathrm{~Pa}
$$

Q4. What type of deformation is shown in this case?
(a) Plastic deformation
(b) Temporary strain
(c) Elastic deformation
(d) Shearing

Answer: (c)
Explanation:
Since the wire returns to its original length when force is removed, it is elastic deformation.

Case Study Question 2

Spring Constant and Elastic Potential Energy

Passage:
A student stretches a spring by 5 cm using a force of 10 N . She is asked to calculate the spring constant (k) and the potential energy stored in the stretched spring using:
– Hooke’s law: $F=k x$
– Elastic potential energy: $U=\frac{1}{2} k x^2$

Q1. What is the spring constant of the spring?
(a) $100 \mathrm{~N} / \mathrm{m}$
(b) $200 \mathrm{~N} / \mathrm{m}$
(c) $300 \mathrm{~N} / \mathrm{m}$
(d) $400 \mathrm{~N} / \mathrm{m}$

Answer: (b)
Explanation:

$$
k=\frac{F}{x}=\frac{10}{0.05}=200 \mathrm{~N} / \mathrm{m}
$$

Q2. What is the potential energy stored in the spring?
(a) 0.25 J
(b) 0.5 J
(c) 1.25 J
(d) 2 J

Answer: (a)
Explanation:

$$
U=\frac{1}{2} \times 200 \times(0.05)^2=0.25 \mathrm{~J}
$$

Q3. If the spring is stretched twice as much, how does the potential energy change?
(a) Remains same
(b) Doubles
(c) Quadruples
(d) Triples

Answer: (c)
Explanation:
Elastic potential energy $\propto x^2$. If $x$ is doubled, energy becomes $4 U$.

Q4. What type of stress is acting in the spring during stretching?
(a) Bulk stress
(b) Shear stress
(c) Tensile stress
(d) Compressive stress

Answer: (c)
Explanation:
A spring being stretched experiences tensile stress (pulling force along its length).

Case Study Question 3

Elastic Limit and Plastic Deformation

Passage:
A wire is subjected to increasing load in a lab. Initially, the extension is proportional to the load (obeying Hooke’s Law). Beyond a certain point (called elastic limit), the wire doesn’t return to its original length. Further loading leads to plastic deformation and finally breaking of the wire.

Q1. What is the region where Hooke’s law is valid?
(a) Yield point
(b) Plastic region
(c) Beyond elastic limit
(d) Proportional limit

Answer: (d)
Explanation:
Hooke’s Law is valid only in the proportional limit, where stress ∝ strain.

Q2. What is the behavior of the wire beyond the elastic limit?
(a) It regains original shape
(b) It shows perfect elasticity
(c) It undergoes permanent deformation
(d) It becomes a superconductor

Answer: (c)
Explanation:
Beyond elastic limit, material shows plastic deformation — permanent change in shape.

Q3. What is the point just before the wire breaks called?
(a) Elastic limit
(b) Breaking point
(c) Yield point
(d) Ultimate tensile strength

Answer: (d)
Explanation:
Ultimate tensile strength (UTS) is the maximum stress the material can bear before breaking.

Q4. Which of the following materials is most elastic?
(a) Rubber
(b) Copper
(c) Steel
(d) Plastic

Answer: (c)
Explanation:
Steel is most elastic because it returns to its original shape better than others (elastic modulus is high).

We hope the given case study questions for Mechanical Properties of Solids Class 11 helps you in your learning.

Also check

🚀 Boost Your Exam Prep: Get case study questions for all subjects (Class 6-12) now!

👉 Explore more resources on CBSE Class 11

Download eBooks for CBSE Class 12 Physics (Exam Special)

Topics from which case study questions may be asked

Stress-strain relationship
Hooke’s law
Elastic modulus
Applications of elasticity

Hooke’s Law states that the stress is proportional to strain within the elastic limit — foundational in elasticity.

For further practice on case study questions related to Mechanical Properties of Solids Class 11 Physics, we recommend exploring the link given below.

Practice More Case Study Questions on “Mechanical Properties of Solids”

Frequently Asked Questions (FAQs) on Mechanical Properties of Solids Case Study Questions

Q1: What are case study questions in Mechanical Properties of Solids?

A1: Case study questions in Mechanical Properties of Solids test your ability to apply concepts in real-life scenarios.

Q2: Are these questions asked in board exams?

A2: Yes, CBSE has started including case study/competency-based questions in final exams.

Q3: How should I prepare for case study questions?

A3: Focus on understanding concepts and practicing application-based problems.

Q4: Are answers provided for Class 11 Physics Mechanical Properties of Solids case study questions?

A4: Yes, detailed answers are provided for all questions.

Download Customised White Label Study Materials in MS Word Format

We are providing teaching resources to teachers and coaching institute looking for customised study materials in MS word format. Our High-quality editable study material which is prepared by the expert faculties are Highly useful for Teachers, Mentors, Tutors, Faculties, Coaching Institutes, Coaching Experts, Tuition Centers.

Download Product Brochure