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

2. If angular velocity is doubled while keeping moment of inertia constant, how does angular momentum change?

3. The moment of inertia of a thin rod of length and mass about an axis perpendicular to its length and passing through its midpoint is:

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

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

6. The term in the parallel axis theorem represents:

7. Why is it easier to loosen a tight nut using a longer spanner rather than a shorter one?

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

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

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

11. Why does a freely falling body in uniform gravity appear weightless to its internal parts?

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

13. The moment of inertia of a uniform solid sphere about any diameter is:

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

15. How does rotational motion study help in daily life?

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

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

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

19. 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:

20. Why is a grinding stone made heavy and massive?

21. A truck of mass moving with a velocity of has linear momentum:

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

23. 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?

24. Which statement about internal forces in a system of particles is correct?

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

26. 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?

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

28. Which of the following is an example of torque in everyday life?

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

30. A solid sphere of mass rolls down an incline of angle . The force of static friction acts:

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

2. The magnitude of the vector product represents:

3. Which mathematical condition represents equilibrium of a rigid body?

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

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

6. In rolling motion, the acceleration of the center of mass is related to angular acceleration by:

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

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

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

10. How do bowling balls demonstrate rolling motion?

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

12. For a uniform rectangular plate of length and breadth , the center of mass is located at:

13. Which quantity describes translational motion in the same way angular displacement describes rotational motion?

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

15. In the parallel axis theorem formula , what does represent?

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

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

18. The work-energy theorem in rotational motion can be expressed as:

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

20. Which of the following is true about the vector product of two vectors?

21. The SI unit of linear momentum is:

22. Which of the following is a real-life example where rotational motion plays a critical role?

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

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

25. 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?

26. Moment of inertia of a hollow sphere of mass and radius about a tangent is:

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

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

29. In an elastic collision between two bodies, which of the following quantities are conserved?

30. In which type of collision is kinetic energy not conserved but momentum is conserved?

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

32. A beam is supported at two ends and loaded in the middle. For equilibrium, which condition must hold true?

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

34. Which of the following conditions results in zero torque?

35. Which of the following statements is true about the equations of motion for the center of mass?

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

37. The perpendicular axis theorem cannot be applied if:

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

39. If a wheel makes 120 revolutions per minute, what is its angular velocity in radians per second?

40. For rolling without slipping, what is the velocity of the bottommost point of the wheel relative to the ground?

41. Which rotational principle is used in bicycles and motorcycles for balance while moving?

42. 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:

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

44. If a force acts at a position vector , the torque is given by:

45. When a bullet is fired from a gun, what happens to the center of mass of the gun-bullet system?

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

47. Which type of friction is responsible for maintaining rolling without slipping?

48. If angular displacement is represented by (in radians), what is the instantaneous angular velocity at ?

49. 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?

50. For a uniform triangular lamina, the center of mass lies: