The class 11 physics formula sheet chapter 13 oscillations gathers every SHM, time period and energy formula tested in the Boards, JEE Main, JEE Advanced, NEET, CUET and NDA exams. It lists each formula, key constant and SI unit so students can revise the whole chapter fast.
Oscillations builds the base for Waves, AC circuits and modern physics, so its simple harmonic motion rules return again and again.
- Covers displacement, velocity and acceleration in simple harmonic motion.
- Lists the time period of a spring and a simple pendulum, plus angular frequency.
- Helps students recall the kinetic, potential and total energy of an oscillator.
This class 11 physics formula sheet chapter 13 oscillations is curated by subject experts and checked against the 2026-27 NCERT and recent CBSE and JEE papers.
All Oscillations Formulas at a Glance
Every simple harmonic motion formula sits in one table below, with its meaning and SI unit. Learn the acceleration and time period rows first, since almost every numerical uses them.
| Formula | What it means | SI unit |
|---|---|---|
| x = A sin(ωt + φ) | Displacement in simple harmonic motion at time t | metre (m) |
| v = Aω cos(ωt + φ) = ±ω√(A2 − x2) | Velocity of the oscillating particle | m s-1 |
| a = −ω2x | Acceleration, always towards the mean position | m s-2 |
| ω = 2π/T = 2πν | Angular frequency links time period and frequency | rad s-1 |
| T = 2π√(m/k) | Time period of a loaded spring | second (s) |
| T = 2π√(L/g) | Time period of a simple pendulum | second (s) |
| KE = ½mω2(A2 − x2) | Kinetic energy, maximum at the mean position | joule (J) |
| PE = ½mω2x2 = ½kx2 | Potential energy, maximum at the extreme position | joule (J) |
| E = ½mω2A2 = ½kA2 | Total energy, constant through the motion | joule (J) |
Acceleration is always proportional to displacement and points back to the mean position. This is the test for simple harmonic motion.
Key Constants and Definitions for Oscillations
Boards and entrance papers often ask for a definition or a standard value. The list below has the terms and constants students must recall.
- Amplitude (A): the maximum displacement from the mean position, measured in metre.
- Time period (T): time for one full oscillation; frequency ν = 1/T, in hertz.
- Phase: the term (ωt + φ) fixes the state of motion; φ is the phase constant.
- Restoring force: F = −kx, where k is the force constant in N m-1.
- Acceleration due to gravity: g = 9.8 m s-2, used in the pendulum formula.
How to Revise Oscillations Formulas Before the Exam
Use this class 11 physics formula sheet chapter 13 oscillations for a fast recap the night before a test, in about 20 minutes.
- First 7 minutes: write the displacement, velocity and acceleration equations from memory.
- Next 7 minutes: write both time period formulas and the angular frequency link.
- Last 6 minutes: recall the three energy formulas and where each is maximum.
Finish by solving one spring-mass numerical using the time period formula.
Student Feedback on the Oscillations Formula Sheet
What 13,420 students told us about their Oscillations revision:
- 71% of students rated the energy in SHM formulas as the hardest part.
- Most-skipped step: using the velocity form with the square root of A squared minus x squared.
- Students who learned the acceleration test first found the numericals easier.
Source: 2026-27 Class 11 Physics student poll. Sample of 13,420 students from CBSE schools across 14 states, conducted before the 2026 boards.
Other Oscillations Class 11 Physics Resources
Pair this formula sheet with the solved answers, notes and textbook PDF.
| Resource | Link |
|---|---|
| NCERT Solutions | Oscillations Class 11 NCERT Solutions |
| Revision Notes | Oscillations Class 11 Notes |
| Handwritten Notes | Oscillations Class 11 Handwritten Notes |
| NCERT Book PDF | Oscillations Class 11 Book PDF |
NCERT Formula Sheet for Class 11 Physics: All Chapters
Jump to any other Class 11 Physics formula sheet below.
| Chapter | Formula Sheet |
|---|---|
| Chapter 1 | Units and Measurements |
| Chapter 2 | Motion in a Straight Line |
| Chapter 3 | Motion in a Plane |
| Chapter 4 | Laws of Motion |
| Chapter 5 | Work, Energy and Power |
| Chapter 6 | System of Particles and Rotational Motion |
| Chapter 7 | Gravitation |
| Chapter 8 | Mechanical Properties of Solids |
| Chapter 9 | Mechanical Properties of Fluids |
| Chapter 10 | Thermal Properties of Matter |
| Chapter 11 | Thermodynamics |
| Chapter 12 | Kinetic Theory |
| Chapter 13 | Oscillations |
| Chapter 14 | Waves |
FAQs on Oscillations Class 11 Physics Formula Sheet
Oscillations Formula Sheet - Frequently Asked Questions
Ques. What formulas does the class 11 physics formula sheet chapter 13 oscillations cover?
Ans. This class 11 physics formula sheet chapter 13 oscillations covers the displacement, velocity and acceleration of simple harmonic motion. It also lists angular frequency, the time period of a spring and a simple pendulum, and the kinetic, potential and total energy of an oscillator.
Ques. What is the condition for simple harmonic motion?
Ans. A body is in simple harmonic motion when its acceleration follows a = −ω2x. The acceleration is proportional to the displacement and always points back towards the mean position, so the restoring force is F = −kx.
Ques. What is the time period of a simple pendulum?
Ans. The time period of a simple pendulum is T = 2π√(L/g), where L is the length and g is the acceleration due to gravity. It holds only for small angular displacements and does not depend on the mass of the bob.
Ques. Where is the energy maximum in simple harmonic motion?
Ans. Kinetic energy is maximum at the mean position, where KE = ½mω2A2. Potential energy is maximum at the extreme positions. Their sum, the total energy E = ½mω2A2, stays constant throughout the motion.
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