JEE Oscillations Quiz
Chapter-wise SHM practice - displacement, velocity and acceleration relations, spring and pendulum systems, energy in oscillation, and damped and forced motion.
Skill map
Levels in this jee oscillations quiz
Every question is generated fresh by AI and calibrated to your level - clear a level and the next one gets harder. Miss one and the AI tutor explains Oscillations until it sticks, then aims a follow-up at the gap. Want to grind one level? Start the quiz and type that sub-topic as your own.
Exam focus
How Oscillations is asked
A chapter that repays preparation because its results are reused directly in Waves, and its mathematical form reappears in AC circuits. Questions often hinge on identifying whether a given motion is simple harmonic at all - that is, whether the restoring force is proportional to displacement and directed toward the mean position.
Cheat sheet
Oscillations formulas worth memorising
| Quantity | Formula |
|---|---|
| Displacement in SHM | x = A sin(ωt + φ) |
| Velocity | v = ω√(A² − x²) |
| Acceleration | a = −ω²x |
| Angular frequency | ω = 2πf = 2π/T |
| Spring-mass period | T = 2π√(m/k) |
| Simple pendulum period | T = 2π√(L/g) |
| Total energy in SHM | E = ½mω²A² |
Marks lost here
Common mistakes in Oscillations
- Assuming any back-and-forth motion is simple harmonic. It qualifies only when the restoring force is proportional to displacement, which is why a pendulum is SHM at small angles but not at large ones.
- Mixing up ω and f. Angular frequency ω is 2πf, and substituting one for the other multiplies or divides your answer by about 6.28.
- Assuming the period of a spring-mass system depends on gravity. It does not - T = 2π√(m/k) holds horizontally, vertically and on the Moon. Only the equilibrium position shifts.
- Forgetting that acceleration is maximum where velocity is zero. At the extremes the body is momentarily at rest with maximum restoring force; at the mean position it is fastest with zero acceleration.
- Using the amplitude in place of the instantaneous displacement in energy questions, which gives the total energy rather than the requested kinetic or potential share.
Game rules
How a round works
- 01Spawn
Press play - the AI generates Oscillations questions in seconds.
- 02Level up
Answer to earn XP and build a streak. Difficulty adapts to your accuracy and speed.
- 03Learn or lose
Every answer - right or wrong - gets an AI tutor explanation. Wrong answers respawn as follow-ups.
Leaderboard
Oscillations high scores
Next challenges
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Player's guide
JEE Oscillations Quiz - FAQs
Does the amplitude affect the period of a simple pendulum?
Not for small oscillations, which is the case JEE almost always asks about - the period depends on length and g only. At large amplitudes the approximation breaks down and the period does increase slightly, and questions sometimes test that you know why.
How is energy distributed during SHM?
The total stays constant while its split shifts continuously: all potential at the extremes, all kinetic at the mean position. Both the kinetic and potential energies oscillate at twice the frequency of the displacement, which is a frequently asked detail.
Is the jee oscillations quiz free?
Yes - completely free, with no sign-up required. Type a topic, press start, and the AI generates an adaptive Oscillations quiz with an explanation for every answer.
Can teachers host this jee oscillations quiz live for a class?
Yes - create a free teacher account, host a live room on "Oscillations", and students join with a 6-character code at quff.in/join. No student accounts needed.
From the blog
Oscillations guides & reading
JEE Oscillations and SHM: 30 Practice Questions Solved
Thirty solved SHM questions, and the test that decides whether a motion is simple harmonic at all - which is what most of these questions are really asking.
Exam PrepJEE Gravitation: 30 Practice Questions with Solutions
Thirty solved Gravitation questions - and why the minus sign in U = −GMm/r is the single most examined detail in the chapter.
Exam PrepJEE Waves: 30 Practice Questions with Full Solutions
Thirty solved Waves questions, including the Doppler sign convention worked out by reasoning rather than memorised.
More exam prep quizzes
Ready, player?
Six adaptive Oscillations questions. About two minutes. Climb the podium.