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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.

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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 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?

2 / 30

2. Which of the following statements is true about rotational kinetic energy?

3 / 30

3. What is the SI unit of torque?

4 / 30

4. The perpendicular axis theorem is particularly useful in finding the moment of inertia of:

5 / 30

5. Why is it difficult to stop a spinning top suddenly?

6 / 30

6. Which equation best expresses conservation of angular momentum?

7 / 30

7. A ball of mass moving with velocity strikes an identical stationary ball elastically. What is the velocity of the first ball after collision?

8 / 30

8. Which law relates torque to angular acceleration?

9 / 30

9. Which of the following best demonstrates the use of the parallel axis theorem?

10 / 30

10. For a thin rectangular lamina of mass , length , and breadth , the moment of inertia about an axis perpendicular to the plane and passing through the center is:

11 / 30

11. The SI unit of radius of gyration is:

12 / 30

12. The torque responsible for rolling motion without slipping is produced by:

13 / 30

13. Where does the center of mass of a uniform circular ring lie due to symmetry?

14 / 30

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

15 / 30

15. Why must fuel tanks in rockets be aligned with the rocket’s center of mass?

16 / 30

16. When a bullet is fired from a gun, what happens to the center of mass of the gun-bullet system?

17 / 30

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

18 / 30

18. Which statement is correct about moment of inertia?

19 / 30

19. For a system of two particles of masses and located at and , the position of the center of mass is:

20 / 30

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

21 / 30

21. According to the perpendicular axis theorem, if and are the moments of inertia about two perpendicular axes in the plane of the lamina, then the moment of inertia about a perpendicular axis is:

22 / 30

22. Why do tightrope walkers carry a long pole while walking on the rope?

23 / 30

23. Using the parallel axis theorem, what is the moment of inertia of a thin uniform rod of mass and length about an axis perpendicular to the rod and passing through one end?

24 / 30

24. If a body is composed of multiple simple shapes, the total moment of inertia is calculated by:

25 / 30

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

26 / 30

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

27 / 30

27. Which axis must be chosen to calculate the center of mass of continuous bodies with symmetry?

28 / 30

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

29 / 30

29. If angular velocity of a rotating object is doubled, its rotational kinetic energy becomes:

30 / 30

30. If a point on a wheel has a linear speed of 10 m/s at a distance of 2 m from the axis, what is the angular velocity of the wheel?

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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. Two cars of masses and collide head-on and stick together. This is an example of:

2 / 50

2. What is meant by the center of mass of a system?

3 / 50

3. If a wheel makes 120 revolutions per minute, what is its angular velocity in radians per second?

4 / 50

4. Why do engineers consider angular momentum in the design of turbines and rotors?

5 / 50

5. The magnetic force on a charged particle is given by . Which property of vector product does this represent?

6 / 50

6. The center of mass of a uniform triangular lamina is located at:

7 / 50

7. Which of the following is a direct application of the parallel axis theorem?

8 / 50

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

9 / 50

9. What is the moment of inertia of a thin uniform rod of length and mass , about an axis passing through its center and perpendicular to its length?

10 / 50

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

11 / 50

11. The parallel axis theorem is useful for calculating:

12 / 50

12. Which of the following is true about velocities in translational and rotational motion?

13 / 50

13. In which type of collision is kinetic energy not conserved but momentum is conserved?

14 / 50

14. The direction of geometrically represents:

15 / 50

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

16 / 50

16. What is the vector definition of angular momentum for a particle?

17 / 50

17. If a rolling body begins to slip, which of the following relationships no longer holds?

18 / 50

18. A ball of mass moving with velocity strikes an identical stationary ball elastically. What is the velocity of the first ball after collision?

19 / 50

19. If a rigid body is acted upon by three coplanar forces and is in equilibrium, then:

20 / 50

20. In the parallel axis theorem formula , what does represent?

21 / 50

21. What is the SI unit of linear velocity?

22 / 50

22. If two point masses of each are placed at distances of and from a given axis, the total moment of inertia is:

23 / 50

23. If two bodies collide on a rough horizontal surface with friction acting, the velocity of the COM:

24 / 50

24. Why does a heavier flywheel have a smaller angular acceleration for the same applied torque compared to a lighter one?

25 / 50

25. What is the acceleration of the topmost point of a rolling wheel relative to the ground?

26 / 50

26. A neutron star forms when a massive star collapses. Its angular velocity becomes extremely high because:

27 / 50

27. Where is the center of mass of a uniform square lamina located?

28 / 50

28. If a force of 20 N is applied at a perpendicular distance of 0.5 m from the axis of rotation, what is the torque?

29 / 50

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

30 / 50

30. If no external force acts on a system of particles, the velocity of the center of mass will:

31 / 50

31. The work-energy theorem in rotational motion is a direct consequence of:

32 / 50

32. What condition must be true for the equation to hold?

33 / 50

33. Why is a grinding stone made heavy and massive?

34 / 50

34. What is the main function of rolling motion in conveyor belt rollers?

35 / 50

35. For a thin rectangular lamina of mass , length , and breadth , the moment of inertia about an axis perpendicular to the plane and passing through the center is:

36 / 50

36. Which of the following statements is NOT true about vector product?

37 / 50

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

38 / 50

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

39 / 50

39. If the net external force on a system of particles is zero, what will be the motion of its center of mass?

40 / 50

40. The torque responsible for rolling motion without slipping is produced by:

41 / 50

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

42 / 50

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

43 / 50

43. A torque of 30 N·m produces an angular acceleration of 6 rad/s² in a wheel. What is the moment of inertia of the wheel?

44 / 50

44. What is the SI unit of angular velocity?

45 / 50

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

46 / 50

46. Why is a tightrope walker often seen carrying a long pole?

47 / 50

47. In a uniform gravitational field, the acceleration of the center of mass of a system of particles is:

48 / 50

48. The parallel axis theorem is used to calculate the moment of inertia of a body:

49 / 50

49. A seesaw with two children of equal mass sitting at equal distances from the fulcrum is in equilibrium because:

50 / 50

50. Which statement is correct about energy considerations in rolling motion?

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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

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  • Keep a stable internet connection.
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