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. A uniform solid cylinder of mass and radius is pulled by a force at its center. For rolling without slipping, the friction force acts:

2 / 30

2. For a uniform solid hemisphere of radius , the center of mass lies:

3 / 30

3. Which factor makes rolling motion preferable in transport systems?

4 / 30

4. 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?

5 / 30

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

6 / 30

6. When two objects collide and stick together (perfectly inelastic collision), the center of mass of the system:

7 / 30

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

8 / 30

8. The total mass of a system of particles is equal to:

9 / 30

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

10 / 30

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

11 / 30

11. According to Newton’s second law for a system of particles, the motion of the center of mass is governed by:

12 / 30

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

13 / 30

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

14 / 30

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

15 / 30

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

16 / 30

16. If a wheel of moment of inertia rotates with angular velocity , what is its rotational kinetic energy?

17 / 30

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

18 / 30

18. Which quantity remains unchanged when internal forces act inside a system of particles?

19 / 30

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

20 / 30

20. If two ice skaters push off each other on frictionless ice, the center of mass of the system will:

21 / 30

21. If three identical particles are placed at the vertices of an equilateral triangle, the center of mass lies:

22 / 30

22. A solid cylinder of mass and radius has a moment of inertia about its axis equal to:

23 / 30

23. What is the moment of inertia of a thin uniform circular ring of mass and radius about its central diameter?

24 / 30

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

25 / 30

25. Which distributive property is satisfied by the vector product?

26 / 30

26. 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:

27 / 30

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

28 / 30

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

29 / 30

29. Which of the following graphs correctly represents the relationship between force and momentum?

30 / 30

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

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

2 / 50

2. The moment of inertia of a thin uniform rod of length and mass , about an axis along its length (longitudinal axis), is:

3 / 50

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

4 / 50

4. For complete equilibrium of a rigid body, which conditions must be satisfied simultaneously?

5 / 50

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

6 / 50

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

7 / 50

7. The perpendicular axis theorem is derived from:

8 / 50

8. What is the moment of inertia of a circular ring of mass and radius about a tangent in the plane of the ring?

9 / 50

9. A force of 10 N is applied at a point located 0.2 m from the pivot at an angle of 0°. What is the torque?

10 / 50

10. The center of mass of a uniform semicircular disc lies:

11 / 50

11. In the equation , what does represent?

12 / 50

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

13 / 50

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

14 / 50

14. Why is momentum conserved in all types of collisions, elastic or inelastic?

15 / 50

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

16 / 50

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

17 / 50

17. Why do athletes like discus throwers and hammer throwers spin before releasing the object?

18 / 50

18. In the theorem , what does represent?

19 / 50

19. A uniform rod of length 2 m is pivoted at one end. If a weight of 10 N is applied at the other end, what torque acts about the pivot?

20 / 50

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

21 / 50

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

22 / 50

22. Which type of friction is smaller:

23 / 50

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

24 / 50

24. Why does a helicopter need a tail rotor?

25 / 50

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

26 / 50

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

27 / 50

27. What is the moment of inertia of a thin spherical shell of mass and radius about its diameter?

28 / 50

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

29 / 50

29. What is the center of mass of a body?

30 / 50

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

31 / 50

31. If a disc of radius has mass , then the ratio of its moment of inertia about a central axis perpendicular to the plane to that about a diameter is:

32 / 50

32. A door is 1 m wide. A person applies a force of 50 N at the edge of the door making an angle of 30° with the door surface. What is the torque about the hinge?

33 / 50

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

34 / 50

34. How do bowling balls demonstrate rolling motion?

35 / 50

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

36 / 50

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

37 / 50

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

38 / 50

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

39 / 50

39. Which of the following explains why a diver pulls in their arms while spinning in the air?

40 / 50

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

41 / 50

41. Which quantity in rotational motion is analogous to displacement in linear motion when calculating work?

42 / 50

42. The mathematical expression of the position vector of the center of mass of a system of particles is:

43 / 50

43. Which distributive property is satisfied by the vector product?

44 / 50

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

45 / 50

45. The perpendicular axis theorem is applicable to which type of bodies?

46 / 50

46. A disc of moment of inertia experiences a torque of . What is its angular acceleration?

47 / 50

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

48 / 50

48. Which of the following best defines angular momentum?

49 / 50

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

50 / 50

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

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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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