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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. For a uniform ring rolling without slipping, the ratio of translational KE to rotational KE is:

2 / 30

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

3 / 30

3. Which of the following best defines linear momentum of a particle?

4 / 30

4. 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:

5 / 30

5. Moment of inertia of a disc of mass and radius about an axis along its diameter (in the plane of the disc) is:

6 / 30

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

7 / 30

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

8 / 30

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

9 / 30

9. What ensures the smooth rolling of railway train wheels on tracks?

10 / 30

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

11 / 30

11. Moment of inertia of a uniform disc of radius and mass about an axis through its center and perpendicular to its plane is:

12 / 30

12. In a uniform semicircular wire of radius , the center of mass is located at:

13 / 30

13. What is the SI unit of angular velocity?

14 / 30

14. For a particle of constant mass, the relationship between force and momentum is:

15 / 30

15. Why do divers tuck their legs and arms while spinning?

16 / 30

16. Why does a solid sphere reach the bottom of an incline faster than a hollow sphere?

17 / 30

17. The center of mass of a uniform rectangular plate lies at:

18 / 30

18. Which engineering device uses conservation of angular momentum for navigation without GPS?

19 / 30

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

20 / 30

20. A force of 12 N is applied at an angle of 90° to a lever arm of length 0.75 m. Calculate the torque.

21 / 30

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

22 / 30

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

23 / 30

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

24 / 30

24. Why is angular momentum considered a vector quantity?

25 / 30

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

26 / 30

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

27 / 30

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

28 / 30

28. In a head-on elastic collision between two equal masses, with one initially at rest, what happens?

29 / 30

29. The work-energy theorem in rotational motion is a direct consequence of:

30 / 30

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

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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. Which of the following is the SI unit of angular momentum?

2 / 50

2. The parallel axis theorem is used to calculate the moment of inertia of a body:

3 / 50

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

4 / 50

4. What determines the rotational inertia of a body?

5 / 50

5. If a body has two planes of symmetry, where must its center of mass lie?

6 / 50

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

7 / 50

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

8 / 50

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

9 / 50

9. 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?

10 / 50

10. Which of the following best defines angular momentum?

11 / 50

11. A rotating ceiling fan blade has an angular velocity of . If the tip of the blade is 0.4 m from the axis, what is the tip’s linear speed?

12 / 50

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

13 / 50

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

14 / 50

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

15 / 50

15. Why is it important to study rotational motion separately from translational motion?

16 / 50

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

17 / 50

17. A uniform cone placed on its base shows which type of equilibrium?

18 / 50

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

19 / 50

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

20 / 50

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

21 / 50

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

22 / 50

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

23 / 50

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

24 / 50

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

25 / 50

25. The moment of inertia of two equal masses connected by a light rod of length , about an axis through the midpoint and perpendicular to the rod, is:

26 / 50

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

27 / 50

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

28 / 50

28. According to Newton’s second law, force is related to momentum as:

29 / 50

29. Two objects collide inelastically on a frictionless surface. What happens to their total kinetic energy?

30 / 50

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

31 / 50

31. 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:

32 / 50

32. Which of the following best describes the motion of a point on the rim of a rolling wheel?

33 / 50

33. When a cylinder rolls without slipping, what is the acceleration condition?

34 / 50

34. If a rolling body begins to slip, which of the following relationships no longer holds?

35 / 50

35. The mathematical statement of the perpendicular axis theorem is:

36 / 50

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

37 / 50

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

38 / 50

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

39 / 50

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

40 / 50

40. 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?

41 / 50

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

42 / 50

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

43 / 50

43. If the mass of a particle remains constant, the relation simplifies to:

44 / 50

44. Which of the following best defines torque?

45 / 50

45. What ensures the smooth rolling of railway train wheels on tracks?

46 / 50

46. The perpendicular axis theorem applies to which type of bodies?

47 / 50

47. The perpendicular axis theorem is derived from:

48 / 50

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

49 / 50

49. If a point on a wheel has a linear speed of 10 m/s at a distance of 2 m from the axis, what is the angular velocity of the wheel?

50 / 50

50. For a rectangular lamina of length and breadth , the perpendicular axis theorem can be applied to relate:

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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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