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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 of the following is true about the motion of the center of mass of a system?

2 / 30

2. Which of the following is an application of rolling motion in sports?

3 / 30

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

4 / 30

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

5 / 30

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

6 / 30

6. Why does a person stand with legs apart when trying to balance?

7 / 30

7. What determines the rotational inertia of a body?

8 / 30

8. Which physical quantity is conserved when no external torque acts on a system?

9 / 30

9. If a person runs around a circular track of radius 7 m at a speed of 7 m/s, what is their angular velocity?

10 / 30

10. What is the SI unit of angular velocity?

11 / 30

11. If a wheel is rolling with slipping, which of the following statements is true?

12 / 30

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

13 / 30

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

14 / 30

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

15 / 30

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

16 / 30

16. If two vectors are parallel, their vector product is:

17 / 30

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

18 / 30

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

19 / 30

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

20 / 30

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

21 / 30

21. The loss in potential energy when a rolling body descends a height is equal to:

22 / 30

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

23 / 30

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

24 / 30

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

25 / 30

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

26 / 30

26. 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?

27 / 30

27. The SI unit of torque is:

28 / 30

28. Why does rolling motion waste less energy compared to sliding?

29 / 30

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

30 / 30

30. A body rotates through an angle of radians in 2 seconds. What is its average angular velocity?

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

2 / 50

2. Why is Newton’s second law expressed as more general than ?

3 / 50

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

4 / 50

4. What is meant by a system of particles in physics?

5 / 50

5. If two particles of equal mass are placed at coordinates and , the x-coordinate of the center of mass is:

6 / 50

6. Which physical quantity is always measured with respect to the center of mass in mechanics?

7 / 50

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

8 / 50

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

9 / 50

9. Which of the following analogies is correct?

10 / 50

10. The kinetic energy of a rotating rigid body can be expressed as:

11 / 50

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

12 / 50

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

13 / 50

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

14 / 50

14. Why do athletes lean forward while running fast?

15 / 50

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

16 / 50

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

17 / 50

17. In rolling without slipping, the instantaneous axis of rotation of the rolling body is located at:

18 / 50

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

19 / 50

19. Which of the following is an example of stable equilibrium in everyday life?

20 / 50

20. A bomb explodes into three fragments in space where no external force acts. The vector sum of momenta of all fragments is:

21 / 50

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

22 / 50

22. For a uniform circular disc of radius , the center of mass is located at:

23 / 50

23. Which of the following best explains why a person carrying two equal weights in both hands remains balanced?

24 / 50

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

25 / 50

25. A stone tied to a string is whirled in a horizontal circle. If the string breaks, what happens to the stone’s motion immediately?

26 / 50

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

27 / 50

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

28 / 50

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

29 / 50

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

30 / 50

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

31 / 50

31. 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?

32 / 50

32. A uniform disc of mass and radius has its moment of inertia about a diameter equal to:

33 / 50

33. 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:

34 / 50

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

35 / 50

35. What is the mathematical relation between torque and angular acceleration for a rigid body?

36 / 50

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

37 / 50

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

38 / 50

38. Why does a ballet dancer spin gracefully faster when bringing arms and legs close to the body?

39 / 50

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

40 / 50

40. When a rolling object moves on a horizontal surface without external forces, its total kinetic energy is:

41 / 50

41. Which of the following is a vector quantity associated with angular velocity?

42 / 50

42. If a car moves in a circle of radius with an angular velocity of , what is its linear velocity?

43 / 50

43. Why are heavier ceiling fans slower to start and stop compared to lighter fans?

44 / 50

44. If the radius of a rotating disc is doubled while keeping angular velocity constant, what happens to the linear velocity of a point on its rim?

45 / 50

45. Moment of inertia of a thin rod of mass and length , about an axis passing through its midpoint but parallel to its length, is:

46 / 50

46. A body rotates through an angle of radians in 2 seconds. What is its average angular velocity?

47 / 50

47. Why are rollers used in old printing presses?

48 / 50

48. Which condition correctly defines the kinematics of rolling motion without slipping?

49 / 50

49. For a system of particles, the acceleration of the center of mass depends on:

50 / 50

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

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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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