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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?

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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?

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?

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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:

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. Two springs of constants and are connected in parallel. What is the equivalent spring constant?

2 / 30

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

3 / 30

3. For the equation , the particle’s maximum acceleration is:

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4. The condition for resonance in an RLC circuit is

5 / 30

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

6 / 30

6. The damped harmonic oscillator equation is

7 / 30

7. Which of the following is an example of an oscillatory system in nature?

8 / 30

8. A mass–spring oscillator of mass experiences viscous damping with damping coefficient . If the velocity is , what is the damping force?

9 / 30

9. At maximum displacement, which of the following is true?

10 / 30

10. In the equation , the term represents

11 / 30

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

12 / 30

12. For the same system, the out-of-phase normal mode frequency is

13 / 30

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

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14. Which mathematical approximation is often used to study anharmonic oscillations?

15 / 30

15. Which of the following best represents overdamped motion?

16 / 30

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

17 / 30

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

18 / 30

18. Which is an example of a real system where non-sinusoidal oscillations are important?

19 / 30

19. What are coupled oscillators?

20 / 30

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

21 / 30

21. In SHM, what is the phase difference between displacement and acceleration?

22 / 30

22. A mass–spring system has , , amplitude . The maximum acceleration is

23 / 30

23. In mechanical systems, resonance disaster (bridge collapse due to oscillations) can be modeled by

24 / 30

24. A pendulum oscillating in air slowly comes to rest. This is an example of:

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25. Why are anharmonic oscillations important in molecular vibrations?

26 / 30

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

27 / 30

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

28 / 30

28. A spring stretches by when a force of is applied. What is the spring constant?

29 / 30

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

30 / 30

30. A car shock absorber is an example of:

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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 / 30

1. The damped harmonic oscillator equation is

2 / 30

2. Which physical quantity is maximum at resonance in mechanical systems?

3 / 30

3. A damped oscillator: , , . What fraction of the initial amplitude remains after cycles (light damping)?

4 / 30

4. The total mechanical energy in SHM is given by:

5 / 30

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

6 / 30

6. What happens to total energy if amplitude of oscillation doubles?

7 / 30

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

8 / 30

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

9 / 30

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

10 / 30

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

11 / 30

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

12 / 30

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

13 / 30

13. 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?

14 / 30

14. A mass attached to a spring stretches by under gravity. What is the spring constant?

15 / 30

15. A simple pendulum has length . What is its time period near Earth’s surface ()?

16 / 30

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

17 / 30

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

18 / 30

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

19 / 30

19. A series RLC has , , . What is the bandwidth ?

20 / 30

20. If , the system is said to be

21 / 30

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

22 / 30

22. For the above system (), what is the kinetic energy at displacement ?

23 / 30

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

24 / 30

24. Why are anharmonic oscillators important in molecular physics?

25 / 30

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

26 / 30

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

27 / 30

27. Which oscillator is widely studied as a model for chaos in nonlinear dynamics?

28 / 30

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

29 / 30

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

30 / 30

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

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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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