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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

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1 / 30

1. Eigenfrequencies of coupled oscillators are

2 / 30

2. Why do infrared spectra of molecules show overtones?

3 / 30

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

4 / 30

4. A simple pendulum has time period . Find its length near Earth ().

5 / 30

5. How do coupled oscillators help explain wave propagation in solids?

6 / 30

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

7 / 30

7. The equation of a damped oscillator is . For , the analytical solution is

8 / 30

8. Which physical quantity decides the “stiffness” of a spring in oscillation?

9 / 30

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

10 / 30

10. A car shock absorber is an example of:

11 / 30

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

12 / 30

12. Which of the following is the Fourier series of a square wave?

13 / 30

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

14 / 30

14. A spring of constant has amplitude . Find the potential energy when displacement is .

15 / 30

15. A communication system requires a carrier frequency of 500 kHz. If , calculate the required capacitance.

16 / 30

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

17 / 30

17. What are forced oscillations?

18 / 30

18. A seconds pendulum is one whose time period is:

19 / 30

19. In oscillations caused by gravity, the restoring force varies with:

20 / 30

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

21 / 30

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

22 / 30

22. In nonlinear oscillations, bifurcation refers to

23 / 30

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

24 / 30

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

25 / 30

25. If an LC oscillator has , calculate natural frequency.

26 / 30

26. In SHM, acceleration of the particle is given by:

27 / 30

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

28 / 30

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

29 / 30

29. For a damped oscillator with amplitude and , the time for amplitude to reduce to half is

30 / 30

30. In coupled oscillations, what remains conserved (in ideal conditions)?

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

2 / 50

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

3 / 50

3. A tuning fork produces a sound wave of frequency . If the speed of sound in air is , calculate its wavelength.

4 / 50

4. A circuit has . Find the damping factor .

5 / 50

5. An LC tuned circuit in a radio receiver has and . Find the tuning frequency.

6 / 50

6. Which system naturally exhibits anharmonic oscillations at large amplitudes?

7 / 50

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

8 / 50

8. A series RLC circuit resonates when

9 / 50

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

10 / 50

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

11 / 50

11. Which natural system is an example of forced oscillation?

12 / 50

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

13 / 50

13. A pendulum of length swings in an elevator accelerating upward at . What is its period? ()

14 / 50

14. In communication systems, crystal oscillators are preferred because

15 / 50

15. The quality factor of a series RLC circuit is given by

16 / 50

16. For the damped equation , the discriminant condition corresponds to

17 / 50

17. A pendulum bob is raised to one side and released. What physical principle is best demonstrated?

18 / 50

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

19 / 50

19. Which of the following graphs represents conservation of energy in SHM?

20 / 50

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

21 / 50

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

22 / 50

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

23 / 50

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

24 / 50

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

25 / 50

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

26 / 50

26. Which of the following describes non-sinusoidal oscillations?

27 / 50

27. For a series RLC at resonance, , , . What is the quality factor ?

28 / 50

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

29 / 50

29. Why are pendulums often used in physics classrooms?

30 / 50

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

31 / 50

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

32 / 50

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

33 / 50

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

34 / 50

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

35 / 50

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

36 / 50

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

37 / 50

37. The condition for resonance in an RLC circuit is

38 / 50

38. Which of the following statements is true about wave and oscillatory phenomena?

39 / 50

39. Which feature is characteristic of nonlinear oscillations?

40 / 50

40. What is the general differential equation for charge in a series RLC circuit?

41 / 50

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

42 / 50

42. Which of the following is an example of oscillation in engineering design?

43 / 50

43. The potential energy stored in a stretched spring is given by:

44 / 50

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

45 / 50

45. The damped harmonic oscillator equation is

46 / 50

46. A particle executes SHM with frequency . What is its angular frequency ?

47 / 50

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

48 / 50

48. The expression for kinetic energy as a function of time in SHM is:

49 / 50

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

50 / 50

50. A spring-mass system with and amplitude has total energy:

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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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