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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. Why does a bicycle remain more stable when moving fast compared to when stationary?

2 / 30

2. What makes the study of rotational motion essential in engineering applications?

3 / 30

3. For a given body, how does moment of inertia change if the axis of rotation is shifted parallel to itself by a distance ?

4 / 30

4. A force of 15 N is applied perpendicular to a wrench at a distance of 0.4 m from the nut. What is the torque produced?

5 / 30

5. 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?

6 / 30

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

7 / 30

7. Which property does angular momentum share with linear momentum?

8 / 30

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

9 / 30

9. When does the relation not hold true?

10 / 30

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

11 / 30

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

12 / 30

12. 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?

13 / 30

13. The cross product of a vector with itself is always:

14 / 30

14. 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?

15 / 30

15. Which condition must be satisfied for a body to remain in stable equilibrium?

16 / 30

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

17 / 30

17. Which quantity in rotational motion is analogous to mass in linear motion?

18 / 30

18. Why is moment of inertia important in rotational dynamics?

19 / 30

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

20 / 30

20. The direction of geometrically represents:

21 / 30

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

22 / 30

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

23 / 30

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

24 / 30

24. 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:

25 / 30

25. A particle is at position , and a force acts on it. What is the torque about the origin?

26 / 30

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

27 / 30

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

28 / 30

28. Moment of inertia of a uniform solid sphere of radius and mass about a tangent to the sphere is:

29 / 30

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

30 / 30

30. For a thin uniform rod of length rotating about an axis passing through its center and perpendicular to its length, the radius of gyration 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!

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

2 / 50

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

3 / 50

3. Which example illustrates the conservation of angular momentum in space?

4 / 50

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

5 / 50

5. Which of the following is an example of rolling motion reducing energy consumption?

6 / 50

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

7 / 50

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

8 / 50

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

9 / 50

9. Why is angular momentum considered a vector quantity?

10 / 50

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

11 / 50

11. A child applies a force of 40 N on a swing seat located 2 m from the pivot. The force is applied perpendicularly. What is the torque?

12 / 50

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

13 / 50

13. In which type of motion do all particles of a body move with the same velocity at any instant?

14 / 50

14. 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:

15 / 50

15. In rotational motion about a fixed axis, how do the particles of the body move?

16 / 50

16. A solid sphere of radius is rolling without slipping with angular velocity . The velocity of its center of mass is:

17 / 50

17. The moment of inertia of a solid sphere about its diameter is . Using the parallel axis theorem, its moment of inertia about a tangent is:

18 / 50

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

19 / 50

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

20 / 50

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

21 / 50

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

22 / 50

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

23 / 50

23. In a gun–bullet system, when the bullet is fired forward, the gun recoils backward. This demonstrates:

24 / 50

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

25 / 50

25. What is the SI unit of angular velocity?

26 / 50

26. In translational motion, inertia is measured by mass. In rotational motion, inertia is measured by:

27 / 50

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

28 / 50

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

29 / 50

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

30 / 50

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

31 / 50

31. Which law of mechanics directly applies to both translational and rotational motion?

32 / 50

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

33 / 50

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

34 / 50

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

35 / 50

35. Why is the concept of a system of particles important in physics?

36 / 50

36. Which physical quantity does the distribution of mass affect the most in rotational motion?

37 / 50

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

38 / 50

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

39 / 50

39. Which type of motion is shown by a rolling wheel on a flat road without slipping?

40 / 50

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

41 / 50

41. Which property does angular momentum share with linear momentum?

42 / 50

42. Which of the following quantities has the same dimensions as linear momentum?

43 / 50

43. 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:

44 / 50

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

45 / 50

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

46 / 50

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

47 / 50

47. The geometric interpretation of the magnitude of is:

48 / 50

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

49 / 50

49. If two particles of masses and collide in the absence of external forces, the total linear momentum before collision is:

50 / 50

50. Which of the following correctly relates angular velocity in rpm to rad/s?

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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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