Units and Measurements Class 11 Case Study Questions Physics Chapter 1

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Last Updated on May 18, 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 1 Units and Measurements.

Chapter	Units and Measurements
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

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Table of Contents

Case Study Questions on Units and Measurements

Case Study Question 1:

Dimensional Analysis of a New Physical Formula

Passage:
A student comes across a newly proposed formula for calculating time taken by a particle to slide down a smooth inclined plane:

$$
t=\sqrt{\frac{2 h}{g \sin \theta}}+k
$$

Where $h$ is height, $g$ is acceleration due to gravity, $\theta$ is the angle of inclination, and $k$ is an unknown constant.

To validate the formula, the student performs dimensional analysis and finds that $k$ has different dimensions compared to the rest of the expression.

Q1. What is the dimension of $\sqrt{\frac{2 h}{g \sin \theta}}$ ?
(a) $\left[M^0 L^1 T^0\right]$
(b) $\left[M^0 L^0 T^1\right]$
(c) $\left[M^0 L^1 T^{-1}\right]$
(d) $\left[M^1 L^0 T^{-2}\right]$

Q2. What does the result of the dimensional analysis imply about the proposed formula?
(a) The formula is dimensionally consistent
(b) The constant ‘k’ must be zero
(c) The formula is dimensionally incorrect
(d) Dimensional analysis cannot be applied here

Q3. Which of the following can not be validated using dimensional analysis?
(a) Correctness of physical equations
(b) Finding unit of physical constants
(c) Derivation of trigonometric formulae
(d) Conversion between unit systems

Q4. If $\sin \theta$ is dimensionless, what will be the dimensional formula of $g \sin \theta$ ?
(a) $\left[L T^{-1}\right]$
(b) $\left[L^0 T^0\right]$
(c) $\left[L T^{-2}\right]$
(d) $\left[M L T^{-2}\right]$

Answers:
Q1. (b)
Q2. (c)
Q3. (c)
Q4. (c)

Case Study Question 2:

Estimating Uncertainty in Calculations

Passage:
A student measures the radius $r=2.00 \pm 0.05 \mathrm{~cm}$ and height $h=10.0 \pm 0.1 \mathrm{~cm}$ of a solid cylinder. The student then calculates the volume using the formula:

$$
V=\pi r^2 h
$$

To evaluate the reliability of the final result, the student uses error propagation techniques to determine the percentage error.

Q1. The percentage error in radius measurement is:
(a) 2.5%
(b) 0.5%
(c) 1.0%
(d) 5.0%

Q2. What is the total percentage error in volume $V$ ?
(a) Error in $r+$ error in $h$
(b) $2 \times$ error in $r+$ error in $h$
(c) error in $r \div 2+$ error in $h$
(d) error in $h$ – error in $r$

Q3. What is the final error in volume if calculated using percentage method?
(a) 2.5%
(b) 5.0%
(c) 6.0%
(d) 7.5%

Q4. Which of the following best explains the use of significant figures in this case?
(a) It gives exact values
(b) It shows approximate precision of the result
(c) It simplifies complex units
(d) It converts SI units to CGS

Answers:
Q1. (a)
Q2. (b)
Q3. (c)
Q4. (b)

We hope the given case study questions for Units and Measurements Class 11 helps you in your learning.

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Topics from which case study questions may be asked

Physical quantities and units
Measurement of length, mass, time
Accuracy and errors
Dimensional analysis

Dimensional analysis helps us check the correctness of equations and derive new relations in Physics.

For further practice on case study questions related to Units and Measurements Class 11 Physics, we recommend exploring the link given below.

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Frequently Asked Questions (FAQs) on Units and Measurements Case Study Questions

Q1: What are case study questions in Units and Measurements?

A1: Case study questions in Units and Measurements 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 Units and Measurements case study questions?

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

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