System Of Particles And Rotational Motion Online Test | Exam

Class 11 Physics — Chapter 7: System of Particles and Rotational Motion Online Test

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Class 11 Physics: System of Particles and Rotational Motion 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. Which energy distribution makes a body accelerate faster down an incline?

2 / 20

2. Which of the following is an application of rolling motion in daily life?

3 / 20

3. In rolling without slipping, the fraction of total energy in rotational form for a solid cylinder is:

4 / 20

4. For a body rolling without slipping, the condition linking linear acceleration and angular acceleration is:

5 / 20

5. A wheel of radius 0.5 m rolls without slipping with angular speed . What is the speed of its center of mass?

6 / 20

6. The phenomenon of accretion disks around black holes is strongly influenced by:

7 / 20

7. Which law connects torque and angular momentum?

8 / 20

8. If the torque acting on a body is constant, the work done by the torque after an angular displacement is:

9 / 20

9. If the torque acting on a wheel is zero, what will be the angular acceleration of the wheel?

10 / 20

10. Using parallel axis theorem, what is the moment of inertia of a disc of mass and radius about an axis tangent to the disc and lying in its plane?

11 / 20

11. Which of the following steps is important in the proof of the perpendicular axis theorem?

12 / 20

12. Which of the following steps is essential in the proof of the parallel axis theorem?

13 / 20

13. For a rectangular lamina of length and breadth , the perpendicular axis theorem can be applied to relate:

14 / 20

14. Moment of inertia of a thin rectangular plate of length , breadth , and mass about an axis through its center and perpendicular to its plane is:

15 / 20

15. What is the SI unit of moment of inertia?

16 / 20

16. What does the moment of inertia of a body represent?

17 / 20

17. Why are loaded ships designed with ballast at the bottom?

18 / 20

18. If a uniform rod is balanced horizontally on a knife edge at its midpoint, it is in:

19 / 20

19. A planet revolving around the sun in an elliptical orbit conserves:

20 / 20

20. Which equation correctly relates angular velocity , linear velocity , and radius of circular motion?

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Class 11 Physics: System of Particles and Rotational Motion 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. If a bomb at rest explodes into two equal fragments, the center of mass after explosion will:

2 / 30

2. If the angular velocity of a rotating fan blade is constant, which of the following statements is true?

3 / 30

3. Which principle explains why a spinning skater speeds up when pulling in their arms?

4 / 30

4. In the absence of external torque, the angular momentum of a system:

5 / 30

5. Which statement about internal forces in a system of particles is correct?

6 / 30

6. In a system of colliding particles, why is the center of mass frame often used for analysis?

7 / 30

7. Which of the following everyday situations illustrates conservation of linear momentum?

8 / 30

8. What is the moment of inertia of a rectangular plate of mass , length , and breadth about one of its sides as axis?

9 / 30

9. Which of the following represents unstable equilibrium in daily life?

10 / 30

10. When does the relation not hold true?

11 / 30

11. If a torque of 20 N·m is applied to a wheel of moment of inertia 5 kg·m, what is the angular acceleration?

12 / 30

12. Why does a person experience difficulty in running on a rotating merry-go-round platform?

13 / 30

13. Why does a spinning gyroscope resist changes in its orientation?

14 / 30

14. If two particles of equal mass are placed at coordinates and , the x-coordinate of the center of mass is:

15 / 30

15. For a body of moment of inertia , what happens to angular momentum if the axis of rotation changes?

16 / 30

16. A wheel requires a torque of 50 N·m to rotate. If a spanner of length 0.25 m is used, what minimum force must be applied perpendicular to it?

17 / 30

17. The work done by the magnetic force on a charged particle is always:

18 / 30

18. In rolling without slipping, the total kinetic energy of a body is:

19 / 30

19. The SI unit of linear momentum is:

20 / 30

20. If a constant force acts on a body of mass for a time , the change in momentum is:

21 / 30

21. The center of mass of a solid hemisphere of radius lies at:

22 / 30

22. If two vectors are parallel, their vector product is:

23 / 30

23. A uniform disc of mass and radius has its moment of inertia about a diameter equal to:

24 / 30

24. Which of the following is a necessary condition for rotational equilibrium of a rigid body?

25 / 30

25. The total kinetic energy of a body rolling without slipping is given by:

26 / 30

26. A force of 12 N is applied at an angle of 90° to a lever arm of length 0.75 m. Calculate the torque.

27 / 30

27. For a uniform hemisphere, symmetry shows that the center of mass must lie:

28 / 30

28. Why can a gymnast spin faster after tucking their legs during a flip?

29 / 30

29. Which of the following quantities is analogous to linear momentum in rotational motion?

30 / 30

30. The parallel axis theorem is particularly useful when:

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Class 11 Physics: System of Particles and Rotational Motion 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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Get new questions with every attempt

  • Total Questions: 50
  • Time Allotted: 75 minutes
  • Passing Score: 70%
  • Randomization: Yes
  • Certificate: Yes
  • Retake: Allowed
  • Price: 100% Free

Good luck! 👍

1 / 50

1. Which statement is correct about moment of inertia?

2 / 50

2. Which of the following best describes a perfectly inelastic collision?

3 / 50

3. If friction is suddenly removed while a body is rolling on a horizontal surface, it will:

4 / 50

4. The parallel axis theorem cannot be applied if:

5 / 50

5. Moment of inertia is the rotational analogue of which linear quantity?

6 / 50

6. Which principle of rotational motion explains why spinning satellites remain stable in space?

7 / 50

7. For a uniform circular lamina of radius , which statement is correct using the perpendicular axis theorem?

8 / 50

8. Why do figure skaters extend their arms to slow down a spin?

9 / 50

9. The vector product of two vectors and is defined as:

10 / 50

10. A uniform cone placed on its base shows which type of equilibrium?

11 / 50

11. If the moment of inertia of a rotating body is doubled while the applied torque remains constant, what happens to the angular acceleration?

12 / 50

12. Moment of inertia of a uniform solid cylinder of mass , radius , and length , about its central diameter is:

13 / 50

13. Which physical law is common to both linear and rotational dynamics?

14 / 50

14. In rolling without slipping, the fraction of total energy in rotational form for a solid cylinder is:

15 / 50

15. Why are heavier ceiling fans slower to start and stop compared to lighter fans?

16 / 50

16. Why do galaxies rotate with a nearly constant angular momentum distribution?

17 / 50

17. A solid sphere of mass rolls down an incline of angle . The force of static friction acts:

18 / 50

18. In a collision between two particles, what determines the motion of the center of mass of the system?

19 / 50

19. Which step is necessary when applying the parallel axis theorem?

20 / 50

20. The term in the parallel axis theorem represents:

21 / 50

21. What is the definition of angular momentum for a particle rotating about a fixed axis?

22 / 50

22. In the analogy between linear and rotational motion, angular displacement corresponds to:

23 / 50

23. If angular displacement is represented by (in radians), what is the instantaneous angular velocity at ?

24 / 50

24. Which of the following is the correct analogy?

25 / 50

25. For a uniform triangular lamina, the center of mass lies:

26 / 50

26. What is the SI unit of torque?

27 / 50

27. In elastic collisions, conservation of linear momentum holds true because:

28 / 50

28. Which of the following is true about the motion of the center of mass of a system?

29 / 50

29. If a particle of mass 2 kg is moving with velocity 5 m/s at a perpendicular distance of 3 m from a point, what is its angular momentum about that point?

30 / 50

30. When a solid sphere rolls without slipping on a horizontal surface, the work done by friction is:

31 / 50

31. Why is the perpendicular axis theorem restricted to planar laminae only?

32 / 50

32. Which type of friction is responsible for initiating rolling motion of a body on a surface?

33 / 50

33. What is the radius of gyration of a body?

34 / 50

34. When a cylinder rolls without slipping, what is the acceleration condition?

35 / 50

35. Which of the following is a necessary condition for rotational equilibrium of a rigid body?

36 / 50

36. The parallel axis theorem was derived using which principle?

37 / 50

37. For a uniform circular disc of radius , the center of mass is located at:

38 / 50

38. The center of mass of a solid hemisphere of radius lies at:

39 / 50

39. Which physical principle connects linear motion with rotational motion in Newton’s second law?

40 / 50

40. Which of the following is correct regarding kinetic energy of a system of particles?

41 / 50

41. If a wheel has a moment of inertia of and is subjected to a torque of , its angular acceleration is:

42 / 50

42. If a force acts at a position vector , the torque is given by:

43 / 50

43. The angular momentum of a particle of mass with position vector and velocity is:

44 / 50

44. For a thin uniform rod of length lying along the x-axis from to , the x-coordinate of its center of mass is:

45 / 50

45. Why is the concept of center of mass important in space missions?

46 / 50

46. Why does rolling motion waste less energy compared to sliding?

47 / 50

47. What is the SI unit of moment of inertia?

48 / 50

48. For a system of particles, the acceleration of the center of mass depends on:

49 / 50

49. A cylinder rolling on its curved surface is in:

50 / 50

50. What is the relation between torque and angular acceleration?

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Class 11 Physics — Chapter 7: System of Particles and Rotational Motion Online Test

The System of Particles and Rotational Motion Online Test has been designed especially for Class 11 students who often find this chapter tricky yet fascinating. Many students understand the formulas but struggle when it comes to applying them under exam pressure. This online test will help you bridge that gap through real-time MCQs that test not just memory, but understanding and accuracy.

You can attempt exam-style questions based on rotational dynamics, torque, angular momentum, and equilibrium of rigid bodies. Each paper gives you instant feedback, shows correct answers, and helps you identify your weak spots. It’s not just another test — it’s a step toward confidence and clarity in one of the most conceptual parts of Physics.

After finishing a few attempts, you’ll realize how every question strengthens your thinking process. Students who practice these papers regularly develop sharper reasoning and improved speed in problem-solving — both essential for board exams and competitive tests like JEE or NEET.

About this Online Test

The System of Particles and Rotational Motion online test includes three well-structured papers that gradually increase in difficulty. It’s meant to help you move from understanding to mastery with clear progress in each stage.

  • Paper 1 — Concept Starter: 20 questions · 30 min · Pass ≥ 40%
  • Paper 2 — Mixed Practice: 30 questions · 45 min · Pass ≥ 50% · New set each time
  • Paper 3 — Advanced Challenge: 50 questions · 75 min · Pass ≥ 70% · Certificate on pass

Papers 2 and 3 present fresh questions every time you attempt them, while Paper 1 stays fixed for conceptual warm-up. All papers are automatically checked, timed, and allow you to review each answer after submission.

Key Topics Covered (System of Particles and Rotational Motion)

  • Centre of Mass and motion of system of particles
  • Linear momentum and conservation laws
  • Torque and angular momentum
  • Moment of inertia and its physical significance
  • Rotational kinetic energy and work–energy theorem
  • Rolling motion and pure rolling condition
  • Parallel and perpendicular axis theorems
  • Numerical problems on rotational dynamics and energy

How the Test Works

Choose a paper, answer each MCQ within the given time, and submit to see your score. Every test helps you understand where you stand and what to improve next. It’s not about competition — it’s about progress and confidence building.

Highlights of the Test

  • Real exam-style timed environment
  • Instant scoring with full answer review
  • Randomized questions for better coverage
  • Free, mobile-friendly, and available 24×7
  • Certificate after clearing Paper 3 with 70% or more

Who Should Attempt This Test

  • Class 11 students preparing for school or competitive exams
  • JEE and NEET aspirants wanting speed and accuracy in rotational mechanics
  • Students who want to build confidence in Physics problem-solving
  • Teachers assigning chapter-wise online practice for revision

Why You Should Take This Test

  • Helps you understand how concepts work under time pressure
  • Gives immediate clarity on mistakes and correct reasoning
  • Improves speed in solving rotational and centre of mass questions
  • 100% free — no registration or payment needed
  • Builds the confidence needed for both exams and real understanding

Study Plan for Better Results

  • Read the chapter carefully from NCERT before your first attempt.
  • Attempt Paper 1 to test basic understanding and formula recall.
  • Analyze mistakes using the answer review and retry Paper 2.
  • Attempt Paper 3 under real exam conditions and aim for 70% or more.
  • Revise once again and retake after 48 hours to ensure strong retention.

Before You Start

  • Use Chrome or Edge for smooth experience.
  • Keep a stable internet connection.
  • Don’t refresh or close the tab while the test is running.

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