Chapter-9 Centre of Mass, Momentum, Collisions

 

HC Verma Vol-1 Solutions for Chapter-9: Centre of Mass, Momentum, Collisions (Step-by-Step Guide)

HC Verma Concepts of Physics Vol-1 Chapter 9, titled "Centre of Mass, Linear Momentum, and Collision," is one of the most important and conceptually rich chapters for students preparing for JEE Main, JEE Advanced, NEET, and other competitive exams. It introduces key topics like center of mass, conservation of momentum, types of collisions, and motion of systems, which are foundational for mechanics and beyond. In this write-up, we present detailed, step-by-step solutions to all the questions asked in this chapter to help students gain conceptual clarity and improve problem-solving accuracy.

Overview of Chapter 9: Centre of Mass, Momentum, and Collisions

This chapter explores how systems of particles behave, how internal and external forces affect their motion, and the fundamental conservation laws that govern physical interactions. Major topics covered include:

• Center of mass (COM) of discrete and continuous bodies

• Motion of COM in isolated systems

• Conservation of linear momentum

• Elastic and inelastic collisions in one and two dimensions

• Impulse and its relation to momentum

These concepts are not only essential for solving complex problems in mechanics but also appear frequently in JEE and NEET previous year papers.

Why Use HC Verma Chapter-9 Solutions?

While HC Verma is known for its quality problems, many students find Chapter 9 especially challenging due to the vector nature of momentum and the multi-step logic involved in collision problems. Our step-by-step HC Verma solutions for Chapter 9 make learning easier by:

1. Clearly explaining the physics principles behind each question

2. Drawing accurate free-body diagrams (where applicable)

3. Applying the law of conservation of momentum logically

4. Guiding students through elastic and inelastic collision calculations

5. Highlighting common conceptual traps and shortcuts

Each solution is structured to not just give you the correct answer but to help you understand the “why” and “how” behind it, which is essential for competitive exam success.

Types of Questions Covered

We provide detailed answers to all sections in Chapter 9:

• Objective Questions (Type I & II) – Concept-based multiple-choice problems

• Short Answer Questions – Explaining principles like recoil, COM motion, or effects of external force

• Numerical Problems – Covering everything from COM shifts to complex two-body collision problems

Benefits for JEE and NEET Aspirants

Solving HC Verma Chapter 9 with detailed solutions helps you:

• Strengthen your grip on conservation laws

• Visualize and calculate the center of mass for different systems

• Master head-on and oblique collision problems

• Improve accuracy in time-bound practice sessions