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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?

15 / 20

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

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1 / 30

1. Solve analytically: A particle satisfies with , .

2 / 30

2. A 0.2-kg particle executes SHM described by . Find time period.

3 / 30

3. Which nonlinear phenomenon occurs in logistic population models and resembles chaotic oscillations?

4 / 30

4. A pendulum swinging with large amplitude has its restoring torque given by . Expanding gives higher-order corrections. Which is the cubic correction term?

5 / 30

5. In electrical engineering, resonance is exploited in

6 / 30

6. In the equation , the term represents

7 / 30

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

8 / 30

8. The solution of the damped oscillator equation for underdamping is

9 / 30

9. A mass on a spring oscillates with amplitude , . Find its maximum kinetic energy.

10 / 30

10. A particle in SHM is described by . What is its maximum velocity?

11 / 30

11. If , the RLC circuit reduces to

12 / 30

12. Which of the following is true about restoring force and acceleration in SHM?

13 / 30

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

14 / 30

14. A harmonic oscillator has vibrational frequency . Calculate its zero-point energy.

15 / 30

15. Which of the following is an oscillatory motion in chemistry and biology?

16 / 30

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

17 / 30

17. A mass–spring system has , , amplitude . The maximum acceleration is

18 / 30

18. Why do higher-order corrections become necessary in oscillatory systems?

19 / 30

19. Which of the following best represents overdamped motion?

20 / 30

20. In ideal SHM (no damping), the total mechanical energy:

21 / 30

21. Which oscillatory principle is used in filters for communication systems?

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22. A pendulum of length swings with amplitude . Find approximate correction to its period due to anharmonicity. ()

23 / 30

23. The principle behind quartz crystal oscillators in communication systems is

24 / 30

24. A softening nonlinear oscillator () is characterized by

25 / 30

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

26 / 30

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

27 / 30

27. Compute the fundamental angular frequency for a signal of period .

28 / 30

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

29 / 30

29. Which of the following is NOT a cause of damping?

30 / 30

30. Which physical quantity governs the period of a simple pendulum most directly?

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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
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  • Price: 100% Free

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1 / 50

1. In SHM, what is the phase difference between displacement and acceleration?

2 / 50

2. Which of the following uses resonance in radio tuning?

3 / 50

3. In a pendulum, for small displacements the restoring force can be approximated as:

4 / 50

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

5 / 50

5. Which technique transforms the differential equation of SHM into an algebraic equation for easy solution?

6 / 50

6. The general differential equation for forced oscillations with damping is:

7 / 50

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

8 / 50

8. At what point in oscillation is kinetic energy maximum?

9 / 50

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

10 / 50

10. Why is resonance sometimes dangerous in engineering structures?

11 / 50

11. In mechanical systems, resonance disaster (bridge collapse due to oscillations) can be modeled by

12 / 50

12. Which of the following medical devices uses oscillatory principles?

13 / 50

13. Which of the following is an application of anharmonic oscillators in quantum mechanics?

14 / 50

14. If displacement of a spring-mass system is , what is its velocity?

15 / 50

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

16 / 50

16. In the absence of damping, what would happen to oscillations in a mass-spring system?

17 / 50

17. If the mass is attached to a spring with constant , the angular frequency of oscillations is:

18 / 50

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

19 / 50

19. Which of the following is a physical example of coupled oscillators?

20 / 50

20. Which feature of nonlinear dynamics is responsible for chaos in oscillatory systems?

21 / 50

21. Which restoring force explains oscillations of atoms in a crystal lattice?

22 / 50

22. If , , find the time period of oscillation.

23 / 50

23. Which is an example of a real system where non-sinusoidal oscillations are important?

24 / 50

24. What happens to total energy if amplitude of oscillation doubles?

25 / 50

25. A pendulum swinging in air slows down gradually. This is mainly due to:

26 / 50

26. In damped oscillations, the amplitude decreases:

27 / 50

27. For a one-dimensional chain of masses and springs, the allowed vibrational modes are determined by

28 / 50

28. Which of the following uses controlled oscillations for practical application?

29 / 50

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

30 / 50

30. In a mass–spring oscillator, the total mechanical energy is:

31 / 50

31. A block sliding on a rough surface and gradually coming to rest is an example of:

32 / 50

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

33 / 50

33. For a simple pendulum, the restoring force responsible for oscillations is:

34 / 50

34. If the displacement of a particle in SHM is , then the corresponding wave equation in space and time is:

35 / 50

35. The human ear functions with oscillations because:

36 / 50

36. For a molecule modeled by Morse potential with dissociation energy , what happens as increases?

37 / 50

37. Which of the following is an example of oscillation in the human body?

38 / 50

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

39 / 50

39. The general equation of motion for a damped oscillator is

40 / 50

40. Solve analytically: A particle satisfies with , .

41 / 50

41. Which law describes the restoring force in a spring?

42 / 50

42. Two pendulums of lengths 1 m and 4 m are oscillating at the same place. Find the ratio of their time periods .

43 / 50

43. In mechanical systems, forced oscillations are often produced by

44 / 50

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

45 / 50

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

46 / 50

46. Which parameter of SHM determines how far the particle moves from the mean position?

47 / 50

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

48 / 50

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

49 / 50

49. Which type of damping is experienced by a pendulum swinging in air?

50 / 50

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

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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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