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

2 / 30

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

3 / 30

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

4 / 30

4. The condition for resonance in an RLC circuit is

5 / 30

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

6 / 30

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

7 / 30

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

8 / 30

8. Which everyday system can be modeled as a nonlinear chaotic oscillator?

9 / 30

9. 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?

10 / 30

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

11 / 30

11. A pendulum of length swings with amplitude . Find approximate correction to its period due to anharmonicity. ()

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12. Why are periodic phenomena in nature (like day-night cycle, seasons, tides) studied as oscillatory or wave phenomena?

13 / 30

13. A pendulum clock is taken to the Moon where . If its time period on Earth was , what will it be on the Moon?

14 / 30

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

15 / 30

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

16 / 30

16. A double pendulum is considered a nonlinear oscillator because

17 / 30

17. A block of mass attached to a spring with oscillates with amplitude . What is the maximum kinetic energy?

18 / 30

18. In communication transmitters, oscillatory circuits are used to

19 / 30

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

20 / 30

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

21 / 30

21. Which of the following is an application of oscillations in mechanical systems?

22 / 30

22. For the same system, the kinetic energy is:

23 / 30

23. Coupled oscillators often give rise to which physical phenomenon?

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24. 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?

25 / 30

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

26 / 30

26. Which of the following is true about restoring force and acceleration in SHM?

27 / 30

27. If the amplitude of a pendulum is increased from to , what happens to the period?

28 / 30

28. Which condition reduces the sharpness of resonance?

29 / 30

29. At displacement , the restoring force is given by:

30 / 30

30. In SHM, the expression for kinetic energy at displacement is:

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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. At extreme position in SHM, the energy is completely:

2 / 50

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

3 / 50

3. In acoustics, resonance is useful because it

4 / 50

4. Which of the following represents oscillatory behavior in electronics?

5 / 50

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

6 / 50

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

7 / 50

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

8 / 50

8. A system of coupled LC circuits can model which wave phenomenon?

9 / 50

9. A tuning fork vibrating in air loses energy gradually due to:

10 / 50

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

11 / 50

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

12 / 50

12. In SHM, the expression for kinetic energy at displacement is:

13 / 50

13. A pendulum of length is in an elevator accelerating downward at . What is its period?

14 / 50

14. A circuit has . Find the damping factor .

15 / 50

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

16 / 50

16. What is damping in oscillatory systems?

17 / 50

17. A simple pendulum has a period of 2.0 s. If the length of the pendulum is increased by a factor of 4, what will be the new period?

18 / 50

18. A series RLC circuit has . Find the natural frequency (without resistance).

19 / 50

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

20 / 50

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

21 / 50

21. Which of the following is the standard differential equation of motion for a simple harmonic oscillator?

22 / 50

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

23 / 50

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

24 / 50

24. The motion of atoms in a crystal lattice is best described as:

25 / 50

25. In nonlinear oscillations, bifurcation refers to

26 / 50

26. What is oscillation in physics?

27 / 50

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

28 / 50

28. A car shock absorber is an example of:

29 / 50

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

30 / 50

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

31 / 50

31. In spectroscopy, higher-order anharmonic corrections explain

32 / 50

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

33 / 50

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

34 / 50

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

35 / 50

35. Which of the following is the correct solution for the displacement in SHM?

36 / 50

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

37 / 50

37. Which effect is characteristic of anharmonic oscillations?

38 / 50

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

39 / 50

39. Write the equation of motion for a forced damped oscillator with driving force .

40 / 50

40. Which of the following is an oscillatory motion in chemistry and biology?

41 / 50

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

42 / 50

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

43 / 50

43. Which statement about amplitude and period is correct?

44 / 50

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

45 / 50

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

46 / 50

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

47 / 50

47. Which of the following is an example of forced oscillations?

48 / 50

48. The condition for resonance in an RLC circuit is

49 / 50

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

50 / 50

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

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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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