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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. Which law relates torque to angular acceleration?

2 / 30

2. Why are double-decker buses made with a heavier lower section?

3 / 30

3. If a wheel of radius 0.3 m experiences a torque of 6 N·m, what force is applied tangentially at the rim?

4 / 30

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

5 / 30

5. The wheels of a train have an angular velocity of and radius . What is the train’s linear speed?

6 / 30

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

7 / 30

7. Which of the following pairs is correct for SI units?

8 / 30

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

9 / 30

9. Why are wheels preferred in vehicles instead of sliding blocks?

10 / 30

10. Why is angular momentum important in analyzing rotational systems?

11 / 30

11. Why are reaction wheels used in spacecraft?

12 / 30

12. Which principle of rotational motion explains why an ice skater spins faster when pulling arms close to the body?

13 / 30

13. The direction of the vector product is determined by:

14 / 30

14. Which of the following is an application of equilibrium in furniture design?

15 / 30

15. Which of the following best explains why torque is necessary to change rotational motion?

16 / 30

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

17 / 30

17. Which of the following properties is correct for vector product?

18 / 30

18. Which of the following is NOT an example of conservation of angular momentum?

19 / 30

19. Which everyday activity demonstrates torque?

20 / 30

20. A truck of mass moving with a velocity of has linear momentum:

21 / 30

21. For a rolling cylinder, what is the acceleration of the point of contact with the ground relative to the ground?

22 / 30

22. A rectangular plate of mass , length , and breadth has its moment of inertia about an axis perpendicular to the plate through its center as:

23 / 30

23. Which of the following is an example of a system of particles?

24 / 30

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

25 / 30

25. Which of the following is true about the vector product of two vectors?

26 / 30

26. The mathematical statement of the parallel axis theorem is:

27 / 30

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

28 / 30

28. What is the moment of inertia of a uniform solid sphere of mass and radius about its diameter?

29 / 30

29. 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?

30 / 30

30. For a uniform circular disc of mass and radius , the moment of inertia about a diameter is:

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

Good luck! 👍

1 / 50

1. The direction of angular momentum vector is given by:

2 / 50

2. If , geometrically this means:

3 / 50

3. Why does a wide base make an object more stable?

4 / 50

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

5 / 50

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

6 / 50

6. The mathematical statement of the parallel axis theorem is:

7 / 50

7. Why do astronauts in space stations feel weightless even though gravity acts on them?

8 / 50

8. The parallel axis theorem is particularly useful when:

9 / 50

9. In rotational motion, angular momentum is related to torque by which expression?

10 / 50

10. The total linear momentum of a system of particles is equal to:

11 / 50

11. Four point masses are placed at the corners of a square of side . The moment of inertia about an axis perpendicular to the square and passing through its center is:

12 / 50

12. Which of the following statements about linear momentum is correct?

13 / 50

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

14 / 50

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

15 / 50

15. When a moving trolley collides with a stationary trolley of equal mass and sticks to it, the velocity of the system becomes:

16 / 50

16. In a uniform cube, the center of mass is located:

17 / 50

17. Which of the following best defines angular momentum?

18 / 50

18. If a wheel makes 30 revolutions per second, what is its angular velocity in rad/s?

19 / 50

19. Which type of equilibrium is shown by a ball resting on a flat horizontal surface?

20 / 50

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

21 / 50

21. If the area of a triangle with sides represented by vectors and is required, it is given by:

22 / 50

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

23 / 50

23. Why do astronauts use rotating chairs or platforms during training?

24 / 50

24. If two bodies collide on a frictionless horizontal surface, the velocity of their center of mass after the collision will:

25 / 50

25. The direction of geometrically represents:

26 / 50

26. A satellite orbiting the Earth in the absence of external torques conserves:

27 / 50

27. What is the SI unit of angular velocity?

28 / 50

28. What is the SI unit of linear velocity?

29 / 50

29. In the theorem , what does represent?

30 / 50

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

31 / 50

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

32 / 50

32. The SI unit of linear momentum is:

33 / 50

33. Which type of equilibrium does a ball at the bottom of a bowl represent?

34 / 50

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

35 / 50

35. If two particles of equal mass are separated by a distance , the center of mass lies:

36 / 50

36. The center of mass of a uniform circular disc of radius lies:

37 / 50

37. What is the expression for rotational kinetic energy of a rigid body rotating with angular velocity ?

38 / 50

38. For a uniform rectangular plate of length and breadth , the center of mass is located at:

39 / 50

39. The expression for rotational KE using radius of gyration is:

40 / 50

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

41 / 50

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

42 / 50

42. Which of the following best represents the physical significance of angular momentum?

43 / 50

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

44 / 50

44. Why is it easier to spin a skater with arms folded than with arms stretched?

45 / 50

45. What is the relationship between frequency and angular velocity ?

46 / 50

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

47 / 50

47. A disc of moment of inertia starts from rest and is subjected to a constant torque of . What is its rotational kinetic energy after rotating through ?

48 / 50

48. In translational motion, linear momentum is defined as . What is its analogue in rotational motion?

49 / 50

49. For a uniform circular ring of radius , where is the center of mass located?

50 / 50

50. Which of the following analogies is correct?

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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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