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?

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2. A periodic signal has period . Find its fundamental frequency.

3 / 20

3. Using Euler’s method with step , approximate for , , .

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4. A series RLC circuit has . Find its quality factor .

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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?

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

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

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

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

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

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14. Which of the following best represents overdamped motion?

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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?

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16. The damping force in viscous medium is mathematically expressed as:

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17. A block oscillating in oil comes to rest quicker than in air. Why?

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18. A spring with constant oscillates with amplitude . What is its total mechanical energy?

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

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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.

Get new questions on each attempt

  • Total Questions: 30
  • Time Allotted: 45 minutes
  • Passing Score: 50%
  • Randomization: Yes
  • Certificate: No
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 30

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

2 / 30

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

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3. The mathematical relation between restoring force and displacement is:

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

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

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

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7. A diatomic molecule vibrates with frequency . Find the wavenumber (in cm) for its fundamental vibration. ()

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8. The damping force in viscous medium is mathematically expressed as:

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9. In a system of coupled oscillators (e.g., atoms in a lattice), how many normal modes exist?

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

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

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

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

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14. Why is resonance sometimes dangerous in engineering structures?

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15. What is the purpose of Fourier analysis in oscillatory systems?

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

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17. In communication systems, crystal oscillators are preferred because

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18. The potential energy stored in the spring at displacement is:

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19. A particle executes SHM with amplitude . Its displacement is . Which fraction of amplitude is this displacement?

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

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21. Why is damping important in practical oscillatory systems?

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22. A pendulum has length . Find its time period. ()

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23. Which of the following everyday examples demonstrates resonance?

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24. Which factor directly affects the period of a simple pendulum?

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25. The exchange between kinetic and potential energies during oscillation is:

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

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

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28. What is a strange attractor in nonlinear dynamics?

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

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30. Which energy exchange takes place in an LC oscillator?

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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

Good luck! 👍

1 / 50

1. What is damping in oscillatory systems?

2 / 50

2. In spectroscopy, higher-order anharmonic corrections explain

3 / 50

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

4 / 50

4. If a pendulum completes 20 oscillations in 40 seconds, what is its time period?

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

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

7 / 50

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

8 / 50

8. For the displacement equation , velocity is given by:

9 / 50

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

10 / 50

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

11 / 50

11. What is Coulomb damping?

12 / 50

12. The potential energy stored in the spring at displacement is:

13 / 50

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

14 / 50

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

15 / 50

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

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16. Why is restoring force considered the “driving factor” of SHM?

17 / 50

17. The damped angular frequency is given by

18 / 50

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

19 / 50

19. Which type of damping causes amplitude to reduce linearly rather than exponentially?

20 / 50

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

21 / 50

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

22 / 50

22. Which feature is characteristic of nonlinear oscillations?

23 / 50

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

24 / 50

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

25 / 50

25. If a spring constant is doubled, how does the restoring force change for the same displacement?

26 / 50

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

27 / 50

27. What distinguishes a nonlinear oscillatory system from a linear one?

28 / 50

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

29 / 50

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

30 / 50

30. A machine has a natural frequency of . If it is subjected to an external force oscillating at , what phenomenon will occur?

31 / 50

31. Which condition defines simple harmonic motion (SHM)?

32 / 50

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

33 / 50

33. In electrical engineering, resonance is exploited in

34 / 50

34. Why is vibrational analysis important in mechanical engineering?

35 / 50

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

36 / 50

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

37 / 50

37. In the equation , the term represents

38 / 50

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

39 / 50

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

40 / 50

40. If the length of a pendulum is decreased to one-fourth of its original value, the new time period is:

41 / 50

41. Which statement about nonlinear oscillations is correct?

42 / 50

42. A spring of constant is compressed by . What is the restoring force?

43 / 50

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

44 / 50

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

45 / 50

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

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

47 / 50

47. In a lightly damped oscillator, the amplitude drops from to in one period. The logarithmic decrement is

48 / 50

48. What is the displacement of the system at equilibrium position?

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49. Two masses of are attached to springs of , coupled by spring . Find the in-phase normal mode frequency.

50 / 50

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

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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.

Practice Oscillations MCQs

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.

Download Class 11 Physics MCQ Study Bundle

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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