Chapter 13 of Class 11 Physics, Oscillations, deals with the study of repetitive motions in systems like pendulums, springs, and sound waves. It introduces key terms like amplitude, time period, frequency, and phase, and builds a solid foundation for understanding harmonic motion. Oscillations are seen everywhere around us — from a simple swing in a park to the vibrations of a tuning fork.
I’m writing about this chapter because oscillatory motion is one of those topics that look simple on the surface but has deep connections across many areas of physics. Whether it’s alternating current in electricity, sound in acoustics, or waves in quantum mechanics — the concept of oscillation is everywhere. Personally, when I first learned this chapter, I was surprised how many daily life examples are based on oscillations. So if you understand this chapter well, it will help not only in school exams but also in competitive exams and even in your future physics studies. That’s why it’s important to have a reliable source like the NCERT PDF to revise from.
NCERT Class 11 Physics Chapter 13: Oscillations – Chapter Summary
This chapter introduces the basic concepts of periodic motion and develops the mathematics behind simple harmonic motion (SHM).
Key Concepts Covered
1. Periodic and Oscillatory Motion
- Periodic motion repeats after equal intervals of time
- Oscillatory motion is a type of periodic motion, like a pendulum
2. Simple Harmonic Motion (SHM)
- Defined as motion where restoring force is proportional to displacement and directed towards mean position
- Equation: F=−kxF = -kxF=−kx
3. Terms You Should Know
- Amplitude (A): Maximum displacement from mean position
- Time period (T): Time taken to complete one cycle
- Frequency (f): Number of oscillations per second
- Phase: Describes position and direction of motion
4. Mathematical Representation of SHM
- Displacement: x(t)=Asin(ωt+ϕ)x(t) = A \sin(\omega t + \phi)x(t)=Asin(ωt+ϕ)
- Velocity: v(t)=Aωcos(ωt+ϕ)v(t) = A\omega \cos(\omega t + \phi)v(t)=Aωcos(ωt+ϕ)
- Acceleration: a(t)=−ω2x(t)a(t) = -\omega^2 x(t)a(t)=−ω2x(t)
5. Energy in SHM
- Kinetic and potential energies change continuously
- Total energy remains constant
- E=12kA2E = \frac{1}{2} kA^2E=21kA2
6. Spring-Mass System and Pendulum
- Time period of spring-mass: T=2πmkT = 2\pi \sqrt{\frac{m}{k}}T=2πkm
- Time period of simple pendulum: T=2πlgT = 2\pi \sqrt{\frac{l}{g}}T=2πgl
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