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Class 11 Physics — Chapter 14: Oscillations Online Test

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Class 11 Physics: Oscillations Online Test (Paper 1)

Welcome to Paper 1! This is your foundation to build confidence and get you ready to tackle the challenges ahead.

  • Total Questions: 20
  • Time Allotted: 30 minutes
  • Passing Score: 40%
  • Randomization: No
  • Certificate: No
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 20

1. A forced oscillator (, , ) is driven by . What is the steady-state amplitude at resonance?

2 / 20

2. A periodic signal has period . Find its fundamental frequency.

3 / 20

3. Using Euler’s method with step , approximate for , , .

4 / 20

4. A series RLC circuit has . Find its quality factor .

5 / 20

5. In an underdamped RLC circuit, the current oscillates with frequency

6 / 20

6. A 1 μF capacitor and a 1 mH inductor form an LC circuit. Find its natural frequency.

7 / 20

7. A particle oscillates in potential with . Find approximate frequency shift.

8 / 20

8. Why is vibrational analysis important in mechanical engineering?

9 / 20

9. A spring-mass system executes SHM with mass and spring constant . What is its angular frequency?

10 / 20

10. A body is oscillating with frequency and amplitude . What is its angular frequency?

11 / 20

11. A spring-mass oscillator has , amplitude . What is its total energy?

12 / 20

12. If displacement is doubled in a spring-mass system, how does restoring force change?

13 / 20

13. A mass attached to a spring () oscillates with amplitude . What is the total energy?

14 / 20

14. Which of the following best represents overdamped motion?

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15. A block of mass oscillates on a spring. The damping force due to air resistance is . If velocity at some instant is , what is instantaneous damping force and acceleration due to damping?

16 / 20

16. The damping force in viscous medium is mathematically expressed as:

17 / 20

17. A block oscillating in oil comes to rest quicker than in air. Why?

18 / 20

18. A spring with constant oscillates with amplitude . What is its total mechanical energy?

19 / 20

19. In simple harmonic motion (SHM), acceleration is:

20 / 20

20. A simple pendulum takes 1.5 seconds to complete one oscillation. How many oscillations will it make in 1 minute?

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Class 11 Physics: Oscillations Online Test (Paper 2)

Welcome to Paper 2! You’ve mastered the basics, and now it’s time to test your understanding with a more challenging set of questions.

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  • Total Questions: 30
  • Time Allotted: 45 minutes
  • Passing Score: 50%
  • Randomization: Yes
  • Certificate: No
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 30

1. In an LCR circuit at resonance, the impedance becomes

2 / 30

2. For the system in Q259 and Q260, determine whether it is underdamped, overdamped, or critically damped.

3 / 30

3. Which statement about amplitude and period is correct?

4 / 30

4. In chaos theory, what does a positive Lyapunov exponent signify?

5 / 30

5. For the same system, the kinetic energy is:

6 / 30

6. Which factor does NOT affect the time period of a simple pendulum (for small oscillations)?

7 / 30

7. What is the purpose of Fourier analysis in oscillatory systems?

8 / 30

8. Which transform is used to analyze oscillatory signals in the frequency domain?

9 / 30

9. For the same system, the out-of-phase normal mode frequency is

10 / 30

10. Which of the following is the restoring force in a spring-mass system?

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11. In acoustics, resonance is useful because it

12 / 30

12. An LC circuit has and . Find its resonant frequency.

13 / 30

13. A series RLC has , , . What is the bandwidth ?

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14. A simple pendulum has length . What is its time period near Earth’s surface ()?

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15. Which damping type results in exponential decrease of amplitude with time?

16 / 30

16. The displacement of a particle in SHM is given by . At , the displacement is . What is the phase constant ?

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17. Solve analytically: A particle satisfies with , .

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18. Two springs of constants and are connected in parallel. What is the equivalent spring constant?

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19. What is a strange attractor in nonlinear dynamics?

20 / 30

20. In damped oscillations, the amplitude decreases:

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21. The total mechanical energy in SHM of a spring-mass system is:

22 / 30

22. The suspension system of a car is designed as:

23 / 30

23. For a mass-spring system, Newton’s 2nd law gives the differential equation

24 / 30

24. At equilibrium, which of the following energies is maximum in SHM?

25 / 30

25. The fundamental frequency of a Fourier series is related to

26 / 30

26. Which of the following is true about energy distribution in SHM?

27 / 30

27. In quantum mechanics, the vibrational energy levels of a harmonic oscillator are given by

28 / 30

28. What is the physical meaning of restoring force in oscillations?

29 / 30

29. A periodic signal has period . Find its fundamental frequency.

30 / 30

30. Two identical pendulums of length are weakly coupled. Approximate natural frequency of each pendulum is

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Class 11 Physics: Oscillations Online Test (Paper 3)

Welcome to Paper 3! You’ve warmed up—now it's time to step up your game and conquer the challenge with tougher questions!

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  • Total Questions: 50
  • Time Allotted: 75 minutes
  • Passing Score: 70%
  • Randomization: Yes
  • Certificate: Yes
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 50

1. In quantum mechanics, the vibrational energy levels of a harmonic oscillator are given by

2 / 50

2. A rotating machine part vibrates with displacement . What is its frequency?

3 / 50

3. What is the expression for acceleration in SHM if ?

4 / 50

4. A chain of identical masses coupled by springs models which physical system?

5 / 50

5. A pendulum has length . Find its time period. ()

6 / 50

6. Which condition reduces the sharpness of resonance?

7 / 50

7. A particle has a time period of . How many oscillations will it complete in 2 seconds?

8 / 50

8. In communication transmitters, oscillatory circuits are used to

9 / 50

9. A simple pendulum has a period of . What is its frequency?

10 / 50

10. Which of the following is *not* a characteristic of periodic motion?

11 / 50

11. Which statement about energy distribution in normal modes is correct?

12 / 50

12. Which factor does NOT affect the time period of a simple pendulum (for small oscillations)?

13 / 50

13. The power spectral density (PSD) of a signal describes

14 / 50

14. The damping force in viscous medium is mathematically expressed as:

15 / 50

15. How does amplitude affect the time period of a simple pendulum for small oscillations ()?

16 / 50

16. What is meant by anharmonic oscillations?

17 / 50

17. A pendulum with length has a period of 2.0 s. If temperature rises and length increases slightly, what happens to period?

18 / 50

18. What is Coulomb damping?

19 / 50

19. A child is pushed periodically on a swing to keep it moving. This is an example of

20 / 50

20. An LC circuit has charged to . The total energy stored is

21 / 50

21. Write the equation of motion for a forced damped oscillator with driving force .

22 / 50

22. Which of the following is the restoring force in a spring-mass system?

23 / 50

23. In an ideal LC oscillator, what happens to the total energy?

24 / 50

24. Which mathematical approximation is often used to study anharmonic oscillations?

25 / 50

25. What is the equation of motion for a mass attached to a spring of constant ?

26 / 50

26. In mechanical vibrations, why are shock absorbers filled with oil?

27 / 50

27. Which of the following is correct about time period in SHM?

28 / 50

28. At displacement , kinetic and potential energies are:

29 / 50

29. A 1 μF capacitor and a 1 mH inductor form an LC circuit. Find its natural frequency.

30 / 50

30. For , , (series RLC), the quality factor is

31 / 50

31. The human ear functions with oscillations because:

32 / 50

32. Which of the following systems is NOT an example of coupled oscillators?

33 / 50

33. For Q420, determine whether the system is underdamped, overdamped, or critically damped.

34 / 50

34. What is the displacement of the system at equilibrium position?

35 / 50

35. A block of mass is sliding on a rough surface with coefficient of kinetic friction . What is the Coulomb damping force? ()

36 / 50

36. A vertical spring-mass system in equilibrium stretches by under mass . What is the restoring force at equilibrium?

37 / 50

37. Which of the following is an example of an oscillatory system in nature?

38 / 50

38. The spring constant is defined as:

39 / 50

39. In SHM, the restoring force is always directed:

40 / 50

40. Which of these is a correct characteristic of periodic motion?

41 / 50

41. The angular frequency of oscillation of a mass-spring system is:

42 / 50

42. In a system of coupled oscillators (e.g., atoms in a lattice), how many normal modes exist?

43 / 50

43. What are coupled oscillators?

44 / 50

44. In a coupled pendulum system, the exchange of energy between pendulums results in

45 / 50

45. What happens to the amplitude of a damped oscillation with time?

46 / 50

46. Which differential equation governs an LC circuit (no resistance)?

47 / 50

47. A spring–mass system has natural angular frequency and damping constant . What is the damped angular frequency?

48 / 50

48. The period of a simple pendulum on the Moon () is . The required length is

49 / 50

49. Which of the following is a characteristic of forced oscillations?

50 / 50

50. In a simple pendulum displaced by a small angle , the restoring force is due to:

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Practice Oscillations MCQs
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Class 11 Physics — Chapter 14: Oscillations Online Test

The Oscillations Online Test for Class 11 Physics helps students master one of the most important and conceptual chapters in mechanics. This topic deals with repetitive motion — the kind of motion seen in a pendulum, spring, or even sound waves. Many students understand simple harmonic motion (SHM) theoretically but struggle to solve its numerical problems. This chapter-wise MCQ-based online test is designed to strengthen both your concepts and problem-solving skills step by step.

These tests are based on the NCERT Class 11 Physics Chapter 14 — Oscillations and follow the latest CBSE syllabus. The papers include a mix of theoretical and numerical questions on time period, frequency, angular frequency, restoring force, and energy in SHM. Each test gives you instant results with correct answers and explanations — making your practice more effective for school exams, JEE, and NEET.

This Oscillations Online Test helps you connect real-life phenomena with Physics formulas. Every question is carefully selected to help you visualize oscillatory motion and understand how displacement, velocity, and acceleration change with time. By the end of these tests, you’ll find SHM questions easier and more enjoyable to solve.

About this Online Test

The Chapter 14 — Oscillations Test includes three progressive test papers to help you move from conceptual basics to advanced-level preparation. Each paper has a timer, auto-grading system, and instant review for effective learning.

  • Paper 1 — Concept Builder: 20 questions · 30 min · Pass ≥ 40%
  • Paper 2 — Mixed Practice: 30 questions · 45 min · Pass ≥ 50% · Random new questions every attempt
  • Paper 3 — Advanced Challenge: 50 questions · 75 min · Pass ≥ 70% · Certificate on pass

Papers 2 and 3 provide fresh sets of questions each time you attempt them, so you can practice without repetition. All test papers include answer review and explanation for every question after submission.

Key Topics Covered (Oscillations)

  • Periodic and oscillatory motion
  • Simple harmonic motion (SHM) — definition and conditions
  • Displacement, velocity, acceleration in SHM
  • Time period, frequency, and angular frequency
  • Energy in SHM — kinetic, potential, and total energy
  • Restoring force and force constant (k)
  • Oscillations of spring and simple pendulum
  • Damped and forced oscillations
  • Resonance and its real-life examples

Why You Should Take This Test

Oscillations is a scoring topic once the core ideas are clear. This online test helps you bridge the gap between theory and practice. You’ll be able to:

  • Understand the motion equations used in SHM
  • Practice real exam-level numerical questions
  • Improve your visualization of oscillatory motion
  • Get instant results and track progress after each attempt
  • Prepare efficiently for school, JEE, and NEET exams

Who Should Attempt This Test

  • Class 11 CBSE/NCERT students revising Chapter 14
  • JEE and NEET aspirants focusing on SHM and oscillation problems
  • Students who find time period and frequency concepts confusing
  • Teachers who need ready-to-use online Physics test material

Preparation Tips for Chapter 14 — Oscillations

  • Understand the difference between periodic and oscillatory motion.
  • Derive and memorize SHM equations for displacement, velocity, and acceleration.
  • Study energy variation graphs in SHM and resonance conditions.
  • Attempt Paper 1 for concept clarity, Paper 2 for speed, and Paper 3 for full-chapter testing.
  • After every attempt, review incorrect answers and revise those formulas again.

Before You Start

  • Use latest Chrome or Edge browser for best performance.
  • Keep a stable internet connection during your test.
  • Don’t refresh or close the tab while attempting the test.

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