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

2 / 30

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

3 / 30

3. Which of the following quantities in physics is expressed using a vector (cross) product?

4 / 30

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

5 / 30

5. In rolling motion, the acceleration of the center of mass is related to angular acceleration by:

6 / 30

6. The parallel axis theorem is valid for:

7 / 30

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

8 / 30

8. If the angular velocity of a motor is 3000 rpm, what is its angular velocity in rad/s?

9 / 30

9. Which of the following statements is true about the equations of motion for the center of mass?

10 / 30

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

11 / 30

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

12 / 30

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

13 / 30

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

14 / 30

14. Which principle explains why a rotating neutron star (pulsar) spins faster as it collapses?

15 / 30

15. If the linear velocity of the center of mass is 3 m/s and the wheel radius is 0.5 m, what is the angular velocity for rolling without slipping?

16 / 30

16. The moment of inertia of a system of particles is calculated by:

17 / 30

17. Which of the following demonstrates rolling motion in everyday life?

18 / 30

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

19 / 30

19. The angular momentum of a body rotating with angular velocity about a fixed axis is:

20 / 30

20. How does rotational motion study help in daily life?

21 / 30

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

22 / 30

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

23 / 30

23. If a flywheel of moment of inertia is subjected to a torque of , what is its angular acceleration?

24 / 30

24. Which of the following is correct regarding the center of mass and center of gravity?

25 / 30

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

26 / 30

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

27 / 30

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

28 / 30

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

29 / 30

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

30 / 30

30. What is the effect on angular velocity when linear velocity is kept constant and the radius of the circular path is doubled?

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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. A solid cylinder and a hollow cylinder of same mass and radius roll down an incline. Which reaches first?

2 / 50

2. In rocket propulsion, what ensures conservation of momentum of the system?

3 / 50

3. If the angular velocity of a wheel is and its radius is , what is the linear velocity of a point on the rim?

4 / 50

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

5 / 50

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

6 / 50

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

7 / 50

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

8 / 50

8. For a thin circular ring of radius and mass , the moment of inertia about any diameter in its plane is:

9 / 50

9. What is the primary difference in energy expression for translational and rotational motion?

10 / 50

10. Why does a figure skater extend arms to slow down after spinning fast?

11 / 50

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

12 / 50

12. Which rotational motion principle is used in satellites and space stations to maintain orientation?

13 / 50

13. How does symmetry simplify finding the center of mass of a semicircular wire?

14 / 50

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

15 / 50

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

16 / 50

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

17 / 50

17. In a head-on elastic collision between two masses, the kinetic energy of the COM motion:

18 / 50

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

19 / 50

19. If the torque on a rotating body is doubled, what happens to the angular acceleration (assuming moment of inertia is constant)?

20 / 50

20. When vectors and are perpendicular, the geometric interpretation of their cross product is:

21 / 50

21. Why do potters use a rotating wheel to shape clay?

22 / 50

22. Torque is a vector quantity directed along:

23 / 50

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

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. If a firecracker explodes in space into multiple fragments, what happens to the velocity of the center of mass?

26 / 50

26. The center of mass of a uniform solid cone of height lies at:

27 / 50

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

28 / 50

28. Why is torque considered the rotational analogue of force?

29 / 50

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

30 / 50

30. Which real-life example demonstrates conservation of angular momentum in space?

31 / 50

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

32 / 50

32. Why does a cone placed on its tip topple easily?

33 / 50

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

34 / 50

34. Why are cars designed with a low and broad structure for racing?

35 / 50

35. Which of the following best defines the moment of inertia?

36 / 50

36. A cricket player lowers his hands while catching a ball. This action reduces the force on his hands because:

37 / 50

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

38 / 50

38. Why does a rocket accelerate upward when gases are expelled downward?

39 / 50

39. For a two-particle system with masses and placed at positions and , the position of the center of mass is:

40 / 50

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

41 / 50

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

42 / 50

42. If a rigid body is suspended freely in a uniform gravitational field, it will come to rest in which position?

43 / 50

43. A force of 25 N is applied at 45° to a lever arm of 0.5 m. What is the torque?

44 / 50

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

45 / 50

45. The direction of geometrically represents:

46 / 50

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

47 / 50

47. When analyzing the motion of a system of particles, which concept helps reduce the problem to that of a single particle?

48 / 50

48. In which case does torque play a crucial role in sports?

49 / 50

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

50 / 50

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

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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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