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HC Verma Solutions Class 11 Chapter 9 - Centre of Mass, Linear Momentum, and Collision

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Summary of HC Verma Solutions Part 1 Chapter 9: Centre of Mass, Linear Momentum, and Collision

This chapter introduces the concept of the centre of mass of a system of particles and explains how to calculate it. HC Verma discusses linear momentum as a fundamental quantity that represents the motion of a body. The principle of conservation of linear momentum is explored in the context of different types of collisions, such as elastic and inelastic collisions. Real-life examples, like car collisions, are used to illustrate the practical significance of these concepts.


The PDF of HC Verma Solutions for Class 11 Physics Part-1 Chapter 9 - Centre of Mass, Linear Momentum, and Collision is conveniently available for free on Vedantu. This means that you can access it anytime and from anywhere, making it easily accessible for your studying needs.


By offering the Class 11 HC Verma Solutions Centre of Mass, Linear Momentum, and Collision PDF for free, Vedantu aims to facilitate efficient and flexible studying, allowing students to conveniently revise and practice physics concepts whenever they need to.


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Most Important Topics of HC Verma Solutions for Class 11 Physics - Chapter 9

To get the best outcome, you should always make notes and mark important points so that you can go through them multiple times and get to know the type of questions that can be asked in exams. Here are some of the important topics of HC Verma class 11 physics chapter 9.


  • Centre of Mass: The centre of mass is the point at which the entire mass of the body is assumed to be concentrated

  • Linear Conservation of Momentum: It is  a general physics law which states that momentum that characterises motion never changes in an isolated collection of objects; that is, the total momentum of a system remains constant. 

  • Conservation of Angular Momentum: In the absence of an external torque, the total angular momentum of the system remains constant

  • Collision: Also known as impact, collision describes the sudden, forceful coming together in direct contact of two bodies. 

  • Impulse and Impulsive Force: Impulse is the product of large force acting over a short interval of time and the time interval during which the impulsive force is applied.


Key benefits of using Class 11 HC Verma Solutions for Chapter 9 - Centre of Mass, Linear Momentum, and Collision:

  • 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.


HC Verma Volume 1 Solutions Other Chapters:


Tips to study HC Verma Chapter 9 - Centre of Mass, Linear Momentum, and Collision Solutions:

  • Start by reading the chapter carefully: Make sure you understand the basic concepts and terminology before you start working on the solutions.

  • Work on the examples step-by-step: Don't just try to memorize the solutions, make sure you understand how they work.

  • Try to solve the illustrative exercises on your own: If you get stuck, you can refer to the solutions, but try to solve them on your own first.

  • Practice, practice, practice! The more you practice, the better you'll become at solving physics problems.


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FAQs on HC Verma Solutions Class 11 Chapter 9 - Centre of Mass, Linear Momentum, and Collision

1. What are the topics covered in HC Verma solutions for class 11 physics part 1 chapter 9 center of mass linear momentum collision concepts?

The topics covered in HC Verma solutions for class 11 physics part 1 chapter 9 center of mass linear momentum collision concepts.

  • Centre of Mass

  • Centre of Mass of Continuous Bodies

  • The motion of the Centre of Mass

  • Linear Momentum and its Conservation Principle

  • Rocket Propulsion

  • Collision

  • Elastic Collision in One Dimension

  • Perfectly Inelastic Collision in One Dimension

  • Coefficient of Restitution

  • Elastic Collision in Two Dimensions

  • Impulse and Impulsive Force

All the above concepts and the related problems and solutions are provided here in detail for the benefit of the students. The solutions are made available as a free PDF download for easy access for students.

2. A uranium-238 nucleus, initially at rest, emits an alpha particle with a speed of 1.4 × 107 m/s. Calculate the recoil speed of the residual nucleus thorium-234. Assume that the mass of a nucleus is proportional to the mass number.

Mass of the uranium-238 nucleus, m = 238 (Given)

The initial speed of the nucleus = u = 0 m/s

The final speed of the nucleus = v

The final speed of the alpha particle = v2 = 1.4 × 107 m/s

Mass of the nucleus after emission, m1 = 234

Mass of the alpha particle, m2 = 4

Applying conservation of momentum, mu = m1v1 + m2v2

238×0 = 234 v + 4 × 1.4 × 107

v = –2.39 × 105 m/s or –2.4 × 105 m/s (approx.)

3. During heavy rain, hailstones of the average size of 1.0 cm in diameter fall with an average speed of 20 m/s. Suppose 2000 hailstones strike every square meter of a 10 m × 10 m roof perpendicularly in one second and assume that the hailstones do not rebound. Calculate the average force exerted by the falling hailstones on the roof. The density of a hailstone is 900 kg/m3.

Here d = 1 cm, v = 20 m/s and u = 0, and density = 900 kg/m3

Mass of a hailstone, m = Density × Volume

= 900 × 4/3 × π × (Radius)3

= 900×4/3× π×(0.5×10-2)3

= 0.471×10-3kg

Mass of 2000 hailstones, M = 2000×m = 0.942 kg

Rate of change in momentum per unit area = Rate of change of momentum

= M× (20 – 0)

= 18.84 N or 19 N (approx.)

The total force exerted on the roof = 19 × area of the roof

= 19 × 10 × 10 = 1900 N

4. Why must students refer to the HC Verma books and solutions?

HC Verma is considered the father of Class 12 physics. It has problems and solutions for all difficulty levels. One must refer to HC Verma to learn the various important concepts in depth and with a proper foundation. The HC Verma books ensure it teaches the students all the basic concepts along with guiding them. Vedantu helps you to get the best study material that has all the important topics and is designed in an organised manner by the best teachers. You can score more marks by practising on the worksheet provided on the site and you can get one-on-one guidance to clear all your doubts.

5. What are the advantages of practising worksheets for class 11 physics chapter 9?

Worksheets are made by expert teachers and it has all the important questions that can come in exams. The pattern of worksheets is just like an exam paper and it allows you to practice time management so that you can attempt all the questions within the stipulated time limit. By practising the worksheet you get to know the different patterns in which questions can be asked and so you can get deep knowledge of the topic. By practicing more worksheets you get more of an idea of step to step answering a question. It helps you to score more in exams.