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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

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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. A pendulum with time period makes how many oscillations in 1 minute?

2 / 30

2. Which of the following best represents overdamped motion?

3 / 30

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

4 / 30

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

5 / 30

5. If a body undergoes SHM described by , what is its time period?

6 / 30

6. Which of the following is an engineered example of oscillatory motion?

7 / 30

7. Which experiment historically demonstrated coupled oscillations?

8 / 30

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

9 / 30

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

10 / 30

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

11 / 30

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

12 / 30

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

13 / 30

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

14 / 30

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

15 / 30

15. Which of the following is the general equation of motion for a forced oscillator?

16 / 30

16. Which of the following is an application of resonance in acoustics?

17 / 30

17. In nonlinear oscillations, bifurcation refers to

18 / 30

18. Which of the following is a direct consequence of chaos in nonlinear oscillations?

19 / 30

19. Which of the following engineering structures can experience dangerous oscillations if resonance occurs?

20 / 30

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

21 / 30

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

22 / 30

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

23 / 30

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

24 / 30

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

25 / 30

25. Which parameter determines the steady-state amplitude of forced oscillations?

26 / 30

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

27 / 30

27. Which statement correctly distinguishes viscous damping from Coulomb damping?

28 / 30

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

29 / 30

29. Which of the following graphs best represents displacement-time relation in SHM?

30 / 30

30. What is the time period of a spring-mass system with ?

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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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1 / 50

1. A mechanical system has natural frequency . At what driving frequency will resonance occur?

2 / 50

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

3 / 50

3. A tuning fork loses sound intensity gradually when struck. This is due to:

4 / 50

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

5 / 50

5. Which experiment historically demonstrated coupled oscillations?

6 / 50

6. What assumption is required for deriving for a pendulum?

7 / 50

7. Which of the following engineering structures can experience dangerous oscillations if resonance occurs?

8 / 50

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

9 / 50

9. What is a strange attractor in nonlinear dynamics?

10 / 50

10. A system oscillates with equation . What does the second term represent?

11 / 50

11. The charge on the capacitor in an LC circuit varies as

12 / 50

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

13 / 50

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

14 / 50

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

15 / 50

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

16 / 50

16. What is the time period of oscillation?

17 / 50

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

18 / 50

18. Which condition leads to critical damping?

19 / 50

19. A 1-kg block slides on a surface with dry friction force of 3 N (Coulomb damping). If initial velocity is , how far will it travel before stopping?

20 / 50

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

21 / 50

21. For underdamped motion, the amplitude decreases with time as

22 / 50

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

23 / 50

23. A damped oscillator with . Find natural frequency and damping coefficient .

24 / 50

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

25 / 50

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

26 / 50

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

27 / 50

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

28 / 50

28. A pendulum experiences damping such that its energy decreases to half in 50 oscillations. What is the quality factor ?

29 / 50

29. A machine shaft undergoes vibrations with a natural frequency of . If a nearby engine provides a periodic force at , what will occur?

30 / 50

30. Which of these is a limitation of using pendulums in precision clocks?

31 / 50

31. Which oscillator is widely studied as a model for chaos in nonlinear dynamics?

32 / 50

32. In a tuned radio circuit, LC oscillators are used because

33 / 50

33. A mass attached to a spring satisfies the equation . Find the angular frequency.

34 / 50

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

35 / 50

35. If a system has natural frequency and damping coefficient , what is the angular frequency of damped oscillations?

36 / 50

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

37 / 50

37. Why is vibrational analysis important in mechanical engineering?

38 / 50

38. A car shock absorber is an example of:

39 / 50

39. Which physical quantity is maximum at resonance in mechanical systems?

40 / 50

40. The kinetic and potential energies in SHM vary with:

41 / 50

41. Why are pendulums often used in physics classrooms?

42 / 50

42. A nonlinear restoring force in a spring system is given by . Which effect does the cubic term introduce?

43 / 50

43. A mass-spring oscillator exhibits restoring force . For small amplitude , what is the corrected frequency?

44 / 50

44. The motion of a mass-spring system is SHM because:

45 / 50

45. For the system in Q324, the in-phase normal mode frequency is approximately

46 / 50

46. In the equation , the term represents

47 / 50

47. In forced oscillations, maximum amplitude occurs when

48 / 50

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

49 / 50

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

50 / 50

50. In spectroscopy, higher-order anharmonic corrections explain

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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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