HC Verma Vol-1 Chapter-15 Solutions: Wave Motion and Waves on a String
Chapter 15 of HC Verma’s Concepts of Physics Vol-1, titled “Wave Motion and Waves on a String,” is a crucial topic for students preparing for JEE Main, JEE Advanced, NEET, and other entrance exams. This chapter lays the foundation for understanding how mechanical waves propagate, interact, and behave under various conditions. It introduces both the theory and the mathematical framework needed to master the physics of waves.
In this guide, we provide detailed, step-by-step solutions to all questions from Chapter 15, helping students develop clarity, speed, and confidence when dealing with wave-based problems.
Overview of Chapter 15: Wave Motion and Waves on a String
This chapter explains:
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The nature of mechanical waves
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Longitudinal and transverse waves
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Equation of a progressive wave
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Parameters like amplitude, wavelength, frequency, velocity, and phase
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Wave speed on a stretched string
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Principle of superposition
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Reflection and transmission of waves
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Standing waves and resonance on a string
These concepts are frequently tested in Physics exams and are essential for tackling advanced topics such as sound waves, optics, and modern physics.
Why Use HC Verma Chapter-15 Solutions?
Although the formulas in wave motion may look straightforward, applying them correctly to numerical problems can be challenging. Our HC Verma Vol-1 Chapter-15 solutions simplify this by offering:
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Clear explanations of wave parameters and physical meaning
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Step-by-step breakdowns of the wave equation and its components
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Proper usage of trigonometric identities and algebra in wave problems
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Accurate solutions to problems involving phase difference, wave speed, and string vibration modes
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Logical reasoning for conceptual and objective questions
These solutions aren’t just about arriving at the correct answer — they help students understand why the answer is correct and how to approach similar problems in exams.
Types of Questions Solved
Our HC Verma solutions for Chapter 15 include:
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Objective Questions (Type I & II): Concept-based questions focusing on wave behavior, phase, and amplitude relationships
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Short Answer Questions: Descriptive answers on wave propagation, reflection, and characteristics of strings
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Numerical Problems: Step-by-step calculations involving wave equations, frequency, tension, mass per unit length, and resonance conditions
Each solution follows a logical flow, includes diagrams when necessary, and highlights key takeaways to reinforce understanding.
Benefits for JEE & NEET Aspirants
By practicing with our solutions, students can:
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Master the wave equation and its application in string-based problems
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Build a strong conceptual base in wave motion
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Enhance speed and accuracy with repeated problem-solving practice
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Prepare confidently for competitive exams and board assessments