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. The SI unit of torque is:

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

3. A solid sphere and a hollow sphere of equal mass and radius roll down the same incline. Which has greater rotational KE at the bottom?

4. For two masses 4 kg and 6 kg placed at 1 m and 3 m respectively from the origin, the center of mass lies at:

5. In astrophysics, why do planets in our solar system continue to orbit the Sun without slowing down significantly?

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

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

8. For a uniform semicircular wire of radius , the center of mass lies:

9. Which of the following pairs is correct for SI units?

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

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

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

13. Why is momentum conserved in all types of collisions, elastic or inelastic?

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

15. If the linear momentum of a particle is doubled while keeping the position vector the same, what happens to the angular momentum?

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

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

18. What is the SI unit of angular velocity?

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

20. Why is torque considered in the study of rotational motion?

21. What is the work-energy relation in rotational motion analogous to in linear motion?

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

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

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

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

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

28. The expression for radius of gyration in terms of moment of inertia and mass is:

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

30. When vectors and are parallel, the geometric interpretation of is:

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

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

3. Which type of friction is smaller:

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

5. Why is angular momentum considered a vector quantity?

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

7. In elastic collisions, how does the motion of the center of mass compare before and after the collision?

8. The SI unit of radius of gyration is:

9. In a system of particles, if one particle is much heavier than the others, the center of mass will be:

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

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

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

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

14. The stability of artificial satellites in orbit is maintained using which principle?

15. If two bodies have the same mass and same moment of inertia, which one has a smaller radius of gyration?

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

17. Torque is a vector quantity directed along:

18. If a bomb at rest explodes into two equal fragments, the center of mass after explosion will:

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

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

21. Which of the following devices uses torque for its operation?

22. A ring of radius and mass has a moment of inertia about a tangent in the plane of the ring as:

23. Which of the following is correct regarding kinetic energy of a system of particles?

24. Which of the following analogies is correct?

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

26. Moment of inertia of a uniform disc of radius about its central axis is . Using the parallel axis theorem, its moment of inertia about a tangent to the disc is:

27. Which rotational motion principle is used in satellites and space stations to maintain orientation?

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

29. What is the general method to calculate the center of mass of a continuous body?

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

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

32. The total kinetic energy of a body rolling without slipping is given by:

33. 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?

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

35. 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?

36. Which equation best expresses conservation of angular momentum?

37. A rectangular plate of mass , length , and breadth has its moment of inertia about an axis perpendicular to the plate through its center as:

38. A solid sphere and a hollow sphere of equal mass and radius roll down the same incline. Which has greater rotational KE at the bottom?

39. For a thin uniform rod of length lying along the x-axis from to , the x-coordinate of its center of mass is:

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

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

42. What is the moment of inertia of a solid cylinder of mass and radius about its central axis?

43. If a wheel has a moment of inertia of and is subjected to a torque of , its angular acceleration is:

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

45. Which of the following is true about velocities in translational and rotational motion?

46. If , geometrically this means:

47. Why do bicycles and motorcycles have wheels with thin tires?

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

49. For a uniform sphere, where does the center of mass lie due to symmetry?

50. Which astrophysical phenomenon is explained by conservation of angular momentum?