Class 11 Physics — Chapter 7: System of Particles and Rotational Motion Online Test

1. Which energy distribution makes a body accelerate faster down an incline?

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

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

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

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

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

7. Which law connects torque and angular momentum?

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

9. If the torque acting on a wheel is zero, what will be the angular acceleration of the wheel?

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. Which of the following steps is important in the proof of the perpendicular axis theorem?

12. Which of the following steps is essential in the proof of the parallel axis theorem?

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

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. What is the SI unit of moment of inertia?

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

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

18. If a uniform rod is balanced horizontally on a knife edge at its midpoint, it is in:

19. A planet revolving around the sun in an elliptical orbit conserves:

20. Which equation correctly relates angular velocity , linear velocity , and radius of circular motion?

1. Which of the following is a direct application of the parallel axis theorem?

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

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

4. The parallel axis theorem is mathematically expressed as:

5. 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?

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

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

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

9. The parallel axis theorem is particularly useful when:

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

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

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

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

14. Why does a helicopter need a tail rotor?

15. If friction is suddenly removed while a body is rolling on a horizontal surface, it will:

16. Moment of inertia of a hollow cylinder of mass , inner radius , and outer radius about its central axis is:

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

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

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

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

21. Which of the following is an example of a system of particles?

22. Why must fuel tanks in rockets be aligned with the rocket’s center of mass?

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

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

25. For a system of three particles, each of mass , placed at the vertices of an equilateral triangle of side , the moment of inertia about an axis passing through the centroid and perpendicular to the plane is:

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

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

28. The dimension of angular velocity is:

29. According to the parallel axis theorem, if the moment of inertia of a body about an axis through its center of mass is , then the moment of inertia about a parallel axis at a distance is:

30. 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?

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

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

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

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

5. Why is it easier to spin a skater with arms folded than with arms stretched?

6. A disc of moment of inertia starts from rest and is subjected to a constant torque of . What is its rotational kinetic energy after rotating through ?

7. A body of mass moving with velocity collides elastically with another body of mass at rest. Which conservation laws are applied to determine final velocities?

8. The magnitude of the vector product represents:

9. The vector product is particularly useful in describing:

10. If a system of particles is rotated about its center of mass, what is the effect on its motion?

11. Why do log rollers help in moving heavy wooden logs?

12. The work done by the magnetic force on a charged particle is always:

13. For a system of three particles, each of mass , placed at the vertices of an equilateral triangle of side , the moment of inertia about an axis passing through the centroid and perpendicular to the plane is:

14. Which device works based on the principle of torque and angular momentum conservation?

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

16. A system has three particles of masses 2 kg, 3 kg, and 5 kg located at x = 0 m, x = 2 m, and x = 4 m. The x-coordinate of the center of mass is:

17. Moment of inertia of a hollow cylinder of mass , inner radius , and outer radius about its central axis is:

18. Why is studying rotational motion important in astronomy?

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

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

21. Why does a person bend forward while climbing a hill with a load on their back?

22. Which device uses rolling motion to minimize energy losses in machines?

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

24. Which equation best expresses conservation of angular momentum?

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

26. Which of the following best demonstrates the use of the parallel axis theorem?

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

28. Which of the following quantities is analogous to force in rotational motion?

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

30. Angular velocity of a particle moving in a circle of radius with linear speed is defined as:

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

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

33. For a uniform ring of radius , the center of mass is located at:

34. What are the SI units of angular momentum?

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

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

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

38. The torque responsible for rolling motion without slipping is produced by:

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

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

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

42. If , geometrically this means:

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

44. Which of the following is a practical example of the perpendicular axis theorem?

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

46. For a uniform circular lamina of radius , which statement is correct using the perpendicular axis theorem?

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

48. The geometric interpretation of vector product helps in finding:

49. For a wheel rolling without slipping, what is the velocity of the topmost point relative to the ground?

50. Which of the following best represents the physical significance of angular momentum?