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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

Good luck! 👍

1 / 30

1. If amplitude doubles in SHM, total energy becomes:

2 / 30

2. For a molecule modeled by Morse potential with dissociation energy , what happens as increases?

3 / 30

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

4 / 30

4. What are coupled oscillators?

5 / 30

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

6 / 30

6. A tuning fork resonates when struck near another tuning fork of the same frequency. This happens because

7 / 30

7. A pendulum bob of mass experiences an air resistance force proportional to velocity, . If at some instant velocity = , what is damping force?

8 / 30

8. In a simple pendulum displaced by a small angle , the restoring force is due to:

9 / 30

9. Which nonlinear phenomenon occurs in logistic population models and resembles chaotic oscillations?

10 / 30

10. Why do infrared spectra of molecules show overtones?

11 / 30

11. A block attached to a spring of constant is displaced by and released. What is its maximum speed?

12 / 30

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

13 / 30

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

14 / 30

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

15 / 30

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

16 / 30

16. A particle has displacement . What is its amplitude?

17 / 30

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

18 / 30

18. In the equation , the term represents

19 / 30

19. In a tuned radio circuit, LC oscillators are used because

20 / 30

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

21 / 30

21. A damped oscillator has amplitude decreasing as . If , find amplitude at that time.

22 / 30

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

23 / 30

23. Which statement about restoring force is correct?

24 / 30

24. Which of the following is true about resonance in forced oscillations?

25 / 30

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

26 / 30

26. 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?

27 / 30

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

28 / 30

28. In acoustics, resonance is useful because it

29 / 30

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

30 / 30

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

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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 increased 9 times, how will the time period change?

2 / 50

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

3 / 50

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

4 / 50

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

5 / 50

5. The general equation of motion for a damped oscillator is

6 / 50

6. A wheel rotates 120 times per minute. What is its frequency in Hz?

7 / 50

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

8 / 50

8. A pendulum has a time period that depends on:

9 / 50

9. Why does a child’s swing represent a simple oscillatory system?

10 / 50

10. Which condition reduces the sharpness of resonance?

11 / 50

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

12 / 50

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

13 / 50

13. Two identical pendulums of length are weakly coupled. Approximate natural frequency of each pendulum is

14 / 50

14. Why is resonance sometimes dangerous in engineering structures?

15 / 50

15. In engineering, a tuning fork is a practical example of oscillation because:

16 / 50

16. Which statement about nonlinear oscillations is correct?

17 / 50

17. A series RLC circuit resonates when

18 / 50

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

19 / 50

19. In Fourier analysis, harmonics are defined as

20 / 50

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

21 / 50

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

22 / 50

22. Solve analytically: A particle satisfies with , .

23 / 50

23. A block of mass is sliding on a rough surface with coefficient of kinetic friction . What is the Coulomb damping force? ()

24 / 50

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

25 / 50

25. The restoring force acting on a pendulum for small oscillations is approximately:

26 / 50

26. A particle in SHM has displacement equation . What is its amplitude and phase constant?

27 / 50

27. Why is damping important in practical oscillatory systems?

28 / 50

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

29 / 50

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

30 / 50

30. Which of these is a natural oscillatory system in astronomy?

31 / 50

31. A block–spring oscillator has amplitude and total energy . What is the spring constant ?

32 / 50

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

33 / 50

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

34 / 50

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

35 / 50

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

36 / 50

36. In SHM, the restoring force is mathematically related to acceleration by:

37 / 50

37. Which restoring force leads to simple harmonic oscillations in springs?

38 / 50

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

39 / 50

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

40 / 50

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

41 / 50

41. A mass–spring system has , and amplitude . What is the speed when ?

42 / 50

42. Why are oscillatory circuits important in radio communication?

43 / 50

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

44 / 50

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

45 / 50

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

46 / 50

46. Which situation best illustrates damping?

47 / 50

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

48 / 50

48. Which method is generally used to find analytical solutions for SHM?

49 / 50

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

50 / 50

50. A harmonic oscillator has vibrational frequency . Calculate its zero-point 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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