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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. At what point in oscillation is kinetic energy maximum?

2 / 30

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

3 / 30

3. What are coupled oscillators?

4 / 30

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

5 / 30

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

6 / 30

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

7 / 30

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

8 / 30

8. Which of the following describes phase in SHM?

9 / 30

9. A car’s shock absorber provides a viscous damping force of . If car suspension mass is , what is the damping acceleration at ?

10 / 30

10. In molecular vibrations, coupled oscillators correspond to

11 / 30

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

12 / 30

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

13 / 30

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

14 / 30

14. 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?

15 / 30

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

16 / 30

16. The angular frequency of SHM is related to frequency by:

17 / 30

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

18 / 30

18. Why is energy exchange during SHM important?

19 / 30

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

20 / 30

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

21 / 30

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

22 / 30

22. Which nonlinear effect occurs in systems like stiff springs or MEMS devices with cubic nonlinearity?

23 / 30

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

24 / 30

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

25 / 30

25. A spring-mass system has , amplitude . Find kinetic energy when displacement is .

26 / 30

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

27 / 30

27. In the equation , the term represents

28 / 30

28. Which of the following best describes viscous damping?

29 / 30

29. What is oscillation in physics?

30 / 30

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

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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. Why is resonance dangerous in mechanical structures like bridges?

2 / 50

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

3 / 50

3. Which of the following mechanical systems shows resonance phenomenon?

4 / 50

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

5 / 50

5. What is a strange attractor in nonlinear dynamics?

6 / 50

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

7 / 50

7. In acoustics, resonance is useful because it

8 / 50

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

9 / 50

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

10 / 50

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

11 / 50

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

12 / 50

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

13 / 50

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

14 / 50

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

15 / 50

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

16 / 50

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

17 / 50

17. A forced oscillator has , , , driven by . The steady-state amplitude is

18 / 50

18. Which damping mechanism is dominant in the vibration of car suspensions filled with oil?

19 / 50

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

20 / 50

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

21 / 50

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

22 / 50

22. Which of the following correctly relates displacement, velocity, and acceleration in SHM?

23 / 50

23. What is oscillation in physics?

24 / 50

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

25 / 50

25. A TV receiver uses an LC oscillator with . Find its resonant frequency.

26 / 50

26. If a spring is stretched by under a restoring force of , what is the spring constant?

27 / 50

27. A body executes periodic motion with a frequency of . What is its time period?

28 / 50

28. What is resonance in oscillatory systems?

29 / 50

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

30 / 50

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

31 / 50

31. In communication transmitters, oscillatory circuits are used to

32 / 50

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

33 / 50

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

34 / 50

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

35 / 50

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

36 / 50

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

37 / 50

37. Which feature is characteristic of nonlinear oscillations?

38 / 50

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

39 / 50

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

40 / 50

40. A particle in SHM satisfies with and . The phase constant is

41 / 50

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

42 / 50

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

43 / 50

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

44 / 50

44. What is meant by anharmonic oscillations?

45 / 50

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

46 / 50

46. In forced oscillations, the frequency of oscillation of the system equals

47 / 50

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

48 / 50

48. Why is energy exchange during SHM important?

49 / 50

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

50 / 50

50. If the length of a pendulum is increased 9 times, how will the time period change?

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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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