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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

Good luck! 👍

1 / 30

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

2 / 30

2. In vibrational analysis, the ratio of maximum response amplitude at resonance to static deflection is called:

3 / 30

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

4 / 30

4. For the system in Q415, determine the damped frequency .

5 / 30

5. In forced oscillations, maximum amplitude occurs when

6 / 30

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

7 / 30

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

8 / 30

8. Why are periodic phenomena in nature (like day-night cycle, seasons, tides) studied as oscillatory or wave phenomena?

9 / 30

9. At mean position in SHM, the energy is completely:

10 / 30

10. Which tool is commonly used to analyze non-sinusoidal oscillations?

11 / 30

11. Which effect is characteristic of anharmonic oscillations?

12 / 30

12. Two identical masses are attached to fixed walls by springs and coupled by a spring . What is the out-of-phase normal-mode angular frequency?

13 / 30

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

14 / 30

14. What is the time period of oscillation?

15 / 30

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

16 / 30

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

17 / 30

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

18 / 30

18. If the amplitude of oscillation decreases due to damping, the total mechanical energy:

19 / 30

19. The condition for resonance in an RLC circuit is

20 / 30

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

21 / 30

21. A nonlinear oscillator has restoring force . Which terms represent higher-order corrections?

22 / 30

22. Which feature is characteristic of nonlinear oscillations?

23 / 30

23. Coupled oscillators often give rise to which physical phenomenon?

24 / 30

24. Which equation governs wave propagation in coupled oscillator chains?

25 / 30

25. What is damping in oscillatory systems?

26 / 30

26. Consider two identical masses connected to fixed walls by springs of constant , and joined by a coupling spring of constant . How many normal modes exist?

27 / 30

27. What is the restoring force in an oscillatory system?

28 / 30

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

29 / 30

29. Which of the following does NOT affect the period of a simple pendulum (for small oscillations)?

30 / 30

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

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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

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1 / 50

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

2 / 50

2. The time period of a simple pendulum of length is given by:

3 / 50

3. Solve for initial conditions .

4 / 50

4. Which statement about restoring force is correct?

5 / 50

5. A damped oscillator has . Find the damping constant .

6 / 50

6. A mass–spring system has , and amplitude . What is the speed when ?

7 / 50

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

8 / 50

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

9 / 50

9. Why are anharmonic oscillators important in molecular physics?

10 / 50

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

11 / 50

11. Why is equilibrium position important in oscillatory motion?

12 / 50

12. During oscillatory motion, how do kinetic and potential energies behave?

13 / 50

13. Which of the following best describes deterministic chaos?

14 / 50

14. If a mass–spring oscillator has energy , what is the kinetic energy at displacement ?

15 / 50

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

16 / 50

16. A pendulum clock is taken to a mountain top where is slightly less. What happens to the clock?

17 / 50

17. At the extreme position of oscillation, the energy of the spring-mass system is entirely:

18 / 50

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

19 / 50

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

20 / 50

20. At displacement , the restoring force is given by:

21 / 50

21. What happens to restoring force when displacement is doubled in a spring system?

22 / 50

22. In electrical engineering, resonance is exploited in

23 / 50

23. Which of the following everyday examples demonstrates resonance?

24 / 50

24. For a molecule with , calculate the energy difference between and levels in harmonic approximation. ()

25 / 50

25. In an RLC circuit, what happens to bandwidth if resistance increases?

26 / 50

26. On which planet would a pendulum swing faster?

27 / 50

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

28 / 50

28. Galileo first observed pendulum motion while:

29 / 50

29. In damped oscillations, the amplitude decreases:

30 / 50

30. A car shock absorber is an example of:

31 / 50

31. In an ideal LC circuit, a capacitor is initially charged to and connected to an inductor . What is the maximum current ?

32 / 50

32. A pendulum of length is in an elevator accelerating downward at . What is its period?

33 / 50

33. The SI unit of frequency is:

34 / 50

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

35 / 50

35. In SHM, the restoring force is mathematically related to acceleration by:

36 / 50

36. A circuit has . Find the damping factor .

37 / 50

37. Two identical masses are attached to fixed walls by springs and coupled by a spring . What is the out-of-phase normal-mode angular frequency?

38 / 50

38. A mass on a spring performs oscillations with amplitude . If the equation of motion is with , what is its time period?

39 / 50

39. In a mass-spring chain, if lattice spacing is , the wavelength of a vibrational mode is related to

40 / 50

40. Why is resonance in oscillatory systems dangerous in engineering structures?

41 / 50

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

42 / 50

42. Which condition corresponds to critical damping in an RLC circuit?

43 / 50

43. In engineering, a tuning fork is a practical example of oscillation because:

44 / 50

44. Why do infrared spectra of molecules show overtones?

45 / 50

45. What is the natural frequency of an LC oscillator?

46 / 50

46. A pendulum at large amplitudes is an example of a nonlinear oscillator because

47 / 50

47. What is Coulomb damping?

48 / 50

48. The damped angular frequency is given by

49 / 50

49. Which effect is characteristic of anharmonic oscillations?

50 / 50

50. For the system in Q328, find the out-of-phase normal mode frequency.

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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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