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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. Why are pendulums often used in physics classrooms?

2 / 30

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

3 / 30

3. How can a pendulum be used to measure acceleration due to gravity?

4 / 30

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

5 / 30

5. The suspension system of a car is designed as:

6 / 30

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

7 / 30

7. Which effect is characteristic of anharmonic oscillations?

8 / 30

8. What is the physical meaning of restoring force in oscillations?

9 / 30

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

10 / 30

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

11 / 30

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

12 / 30

12. Which of the following statements about energy in a mass-spring oscillator is correct?

13 / 30

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

14 / 30

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

15 / 30

15. For Q420, determine whether the system is underdamped, overdamped, or critically damped.

16 / 30

16. Which of the following statements is true for forced oscillations?

17 / 30

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

18 / 30

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

19 / 30

19. In wave propagation through a lattice, dispersion occurs because

20 / 30

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

21 / 30

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

22 / 30

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

23 / 30

23. The damped harmonic oscillator equation is

24 / 30

24. Which of the following is an application of anharmonic oscillators in quantum mechanics?

25 / 30

25. A pendulum bob displaced by angle has restoring torque given by:

26 / 30

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

27 / 30

27. For a mass–spring system with , , amplitude , what is the speed at ?

28 / 30

28. A particle performs SHM described by . What is its time period?

29 / 30

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

30 / 30

30. Which parameter of SHM determines how far the particle moves from the mean position?

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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. If the length of a pendulum is quadrupled, how does the time period change?

2 / 50

2. A periodic function contains which frequencies?

3 / 50

3. In acoustics, resonance is useful because it

4 / 50

4. If a body executes SHM with amplitude and angular frequency , the maximum velocity is:

5 / 50

5. At resonance, the current in an LCR series circuit is

6 / 50

6. In spectroscopy, higher-order anharmonic corrections explain

7 / 50

7. What is the basic definition of periodic motion?

8 / 50

8. Which of the following is a destructive example of resonance in mechanical vibrations?

9 / 50

9. The fundamental frequency of a Fourier series is related to

10 / 50

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

11 / 50

11. For Q420, determine whether the system is underdamped, overdamped, or critically damped.

12 / 50

12. Why are anharmonic oscillations important in molecular vibrations?

13 / 50

13. Which of the following represents kinetic energy of a mass-spring oscillator at displacement ?

14 / 50

14. Which effect is characteristic of anharmonic oscillations?

15 / 50

15. Which quantum mechanical feature is revealed by the zero-point energy of a vibrational system?

16 / 50

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

17 / 50

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

18 / 50

18. Which condition leads to critical damping?

19 / 50

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

20 / 50

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

21 / 50

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

22 / 50

22. What is meant by anharmonic oscillations?

23 / 50

23. The SI unit of frequency is:

24 / 50

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

25 / 50

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

26 / 50

26. The potential energy at displacement is given by:

27 / 50

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

28 / 50

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

29 / 50

29. Why is resonance sometimes dangerous in engineering structures?

30 / 50

30. Which of the following is the defining mathematical property of SHM?

31 / 50

31. Two coupled pendulums exhibit energy transfer back and forth. This phenomenon is analogous to

32 / 50

32. In wave motion, the phase difference between two adjacent particles separated by a distance is:

33 / 50

33. A spring () has a mass attached; later an additional is added. What is the new period?

34 / 50

34. The energy of an oscillator described by is

35 / 50

35. At which displacement is potential energy maximum in SHM?

36 / 50

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

37 / 50

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

38 / 50

38. Which of the following quantities is common to both oscillations and waves?

39 / 50

39. Which numerical method is most commonly used for solving oscillatory differential equations?

40 / 50

40. Which of the following is correct about free, forced, and damped oscillations?

41 / 50

41. In communication systems, crystal oscillators are preferred because

42 / 50

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

43 / 50

43. Which of the following is correct about time period in SHM?

44 / 50

44. On which planet would a pendulum swing faster?

45 / 50

45. If the mass is attached to a spring with constant , the angular frequency of oscillations is:

46 / 50

46. A damped oscillator has natural frequency and damping coefficient . What type of damping is this?

47 / 50

47. In coupled oscillators, normal modes refer to

48 / 50

48. At the mean position of oscillation, the energy of a spring-mass system is entirely:

49 / 50

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

50 / 50

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

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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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