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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 disc has a moment of inertia of and is rotating with angular velocity , what is its angular momentum?

2 / 30

2. Why do bicycles and motorcycles have wheels with thin tires?

3 / 30

3. Why are rollers used in old printing presses?

4 / 30

4. Which of the following is an example of stable equilibrium in everyday life?

5 / 30

5. If a person runs around a circular track of radius 7 m at a speed of 7 m/s, what is their angular velocity?

6 / 30

6. The perpendicular axis theorem cannot be applied if:

7 / 30

7. Which of the following is a necessary condition for translational equilibrium of a rigid body?

8 / 30

8. The geometric interpretation of vector product helps in finding:

9 / 30

9. Which type of equilibrium does a ball balanced on the top of a hill represent?

10 / 30

10. Moment of inertia of a uniform disc of radius and mass about an axis through its center and perpendicular to its plane is:

11 / 30

11. In which of the following cases is angular momentum NOT conserved?

12 / 30

12. For a body in uniform circular motion, what is the relationship between the directions of angular velocity vector and linear velocity ?

13 / 30

13. Which rotational principle is used in bicycles and motorcycles for balance while moving?

14 / 30

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

15 / 30

15. Which of the following is an example of torque in everyday life?

16 / 30

16. Which of the following best represents the geometric interpretation of the vector product in 3D space?

17 / 30

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

18 / 30

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

19 / 30

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

20 / 30

20. A body of mass moving with velocity collides elastically with another body of mass at rest. Which conservation laws are applied to determine final velocities?

21 / 30

21. The perpendicular axis theorem helps in calculating the moment of inertia of:

22 / 30

22. The braking force applied to a moving car brings it to rest. What happens to its momentum?

23 / 30

23. Why do athletes lean forward while running fast?

24 / 30

24. For a homogeneous sphere, the center of mass lies:

25 / 30

25. If the torque on a rotating rigid body is doubled, how does the angular acceleration change (keeping moment of inertia constant)?

26 / 30

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

27 / 30

27. What is the primary condition for rolling motion without slipping?

28 / 30

28. What is the work-energy relation in rotational motion analogous to in linear motion?

29 / 30

29. Two wheels of radii and are rotating at the same angular velocity. Which statement is correct?

30 / 30

30. Why is the concept of center of mass useful in analyzing the motion of complex bodies?

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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!

Earn a certificate upon passing

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. For a uniform rod of length , the center of mass lies at:

2 / 50

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

3 / 50

3. Why is it easier to roll a heavy cylinder up an incline than to slide it?

4 / 50

4. The expression for radius of gyration in terms of moment of inertia and mass is:

5 / 50

5. If a body has two planes of symmetry, where must its center of mass lie?

6 / 50

6. Why does a solid sphere reach the bottom of an incline faster than a hollow sphere?

7 / 50

7. In astrophysics, why do planets in our solar system continue to orbit the Sun without slowing down significantly?

8 / 50

8. What is the moment of inertia of a solid sphere of mass and radius about a tangent to its surface?

9 / 50

9. Why does symmetry help in finding the center of mass of a body?

10 / 50

10. The moment of inertia of a ring of mass and radius about any tangent in the plane of the ring is:

11 / 50

11. Which mathematical condition represents equilibrium of a rigid body?

12 / 50

12. If a spacecraft ejects gas in one direction, what happens to the spacecraft’s center of mass motion?

13 / 50

13. The mathematical statement of the perpendicular axis theorem is:

14 / 50

14. In a uniform semicircular wire of radius , the center of mass is located at:

15 / 50

15. For a uniform semicircular disc of radius , the center of mass lies:

16 / 50

16. What are the SI units of angular momentum?

17 / 50

17. Moment of inertia of a hollow sphere of mass and radius about a tangent is:

18 / 50

18. In rotational dynamics, torque is analogous to which quantity in linear dynamics?

19 / 50

19. For a uniform thin rectangular plate, symmetry tells us the center of mass lies at:

20 / 50

20. What happens to the angular acceleration of a flywheel if the applied torque is doubled while keeping the moment of inertia constant?

21 / 50

21. Which law or principle does the perpendicular axis theorem resemble in mathematical form?

22 / 50

22. Which law connects torque and angular momentum?

23 / 50

23. In an explosion (treated as a reverse collision), the fragments fly apart in different directions. The center of mass of the system:

24 / 50

24. Why does a person stand with legs apart when trying to balance?

25 / 50

25. What is the general method to calculate the center of mass of a continuous body?

26 / 50

26. Which physical quantity is conserved when no external torque acts on a system?

27 / 50

27. In a uniform gravitational field, the potential energy of a system of particles is:

28 / 50

28. For a rolling object, which statement about friction is correct?

29 / 50

29. The acceleration of the center of mass of a rolling cylinder on an inclined plane of angle is:

30 / 50

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

31 / 50

31. Which example best illustrates both translational and rotational equilibrium?

32 / 50

32. Why does a diver spin faster when tucking their body during a dive?

33 / 50

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

34 / 50

34. Which of the following is an example of stable equilibrium in everyday life?

35 / 50

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

36 / 50

36. What is the SI unit of linear velocity?

37 / 50

37. For rolling without slipping, what is the velocity of the bottommost point of the wheel relative to the ground?

38 / 50

38. Moment of inertia of a disc of mass and radius about an axis along its diameter (in the plane of the disc) is:

39 / 50

39. Why do log rollers help in moving heavy wooden logs?

40 / 50

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

41 / 50

41. For a uniform sphere, where does the center of mass lie due to symmetry?

42 / 50

42. Which of the following is true about angular momentum?

43 / 50

43. Which factor determines the distribution of energy between translational and rotational motion in rolling?

44 / 50

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

45 / 50

45. Which of the following is the correct analogy?

46 / 50

46. Which rolling body reaches the bottom of an incline first (assuming no slipping)?

47 / 50

47. If a bomb at rest explodes into two equal fragments, the center of mass after explosion will:

48 / 50

48. When a system of particles is placed in a uniform gravitational field, the motion of the COM is equivalent to:

49 / 50

49. Why do trains experience less resistance despite their massive weight?

50 / 50

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

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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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