NEET UG - Rigid body rotation and equations of rotational motion, comparison of linear and rotational motions One Line Questions & Answers

1. Which equation correctly relates the angular impulse to the change in angular momentum? — ∫τ dt = ΔL

2. Consider a thin rod rotating about its center. Its moment of inertia is given by: — ¹/₁₂ML²

3. Consider a solid cylinder rotating about its central axis. Its moment of inertia is given by: — ½MR²

4. Which statement is incorrect regarding rigid body rotation? — All points on a rigid body rotate through the same angular acceleration.

5. What is the rotational analogue of linear velocity? — Angular velocity

6. The rate of change of linear velocity is linear acceleration. The rate of change of angular velocity is: — Angular acceleration

7. The rotational kinematic equations are valid when: — Angular acceleration is constant

8. Which of the following is a scalar quantity? — Angular displacement (for finite angles)

9. The rotational analogue of impulse (FΔt) is: — Angular impulse (τΔt)

10. Which quantity is conserved in the absence of external torque for a rigid body? — Angular momentum

11. The product of moment of inertia and angular velocity is: — Angular momentum

12. The rotational analogue of linear momentum (p = mv) is: — Angular momentum (L = Iω)

13. If no net external torque acts on a rotating rigid body, its: — Angular momentum remains constant

14. The rotational analogue of linear displacement is: — Angular displacement

15. Which of the following is NOT a vector quantity in rotational motion? — Angular displacement (for finite angles)

16. If a force F acts at a perpendicular distance r from the pivot point, the magnitude of the torque is: — Fr

17. The parallel axis theorem states that the moment of inertia about an axis parallel to a diameter is: — I = I_cm + Md²

18. If a rigid body is rotating and its moment of inertia decreases, what happens to its angular velocity if angular momentum is conserved? — Increases

19. What is the primary characteristic of a rigid body? — Its constituent particles maintain fixed relative positions.

20. Which physical quantity represents the tendency of a force to rotate an object around an axis? — Torque

21. What does the moment of inertia depend on? — Mass and distribution of mass from the axis of rotation

22. The rotational analogue of mass is: — Moment of inertia

23. In rotational motion, the quantity that measures the resistance to change in rotational motion is: — Moment of inertia

24. For a point mass m rotating at a distance r from the axis of rotation, its moment of inertia is: — mr²

25. Consider a hoop rotating about its central axis. Its moment of inertia is: — MR²

26. Which of the following is a condition for equilibrium of a rigid body? — Net external force is zero AND net external torque is zero.

27. The SI unit of torque is: — Newton-meter (N m)

28. If a rigid body is rotating with constant angular velocity, what is its angular acceleration? — Zero

29. For a rigid body undergoing pure rotation about a fixed axis, the velocity of any particle is: — Perpendicular to the radius vector from the axis of rotation.

30. The angular position of a point on a rotating body can be measured in: — Radians or degrees

31. What is the SI unit of angular velocity? — Radians per second (rad/s)

32. What is the SI unit of angular acceleration? — Radians per second squared (rad/s²)

33. The rotational analogue of kinetic energy (½mv²) is: — Rotational kinetic energy (½Iω²)

34. The angular displacement is related to linear displacement for a point on a rotating object by: — s = rθ

35. If a body is rotating and translating simultaneously, its total kinetic energy is: — Sum of translational and rotational kinetic energies

36. If a rigid body is rotating, its constituent particles have: — Tangential velocity and centripetal acceleration

37. If the net torque on a rigid body is zero, then: — The angular momentum is constant.

38. The center of mass of a rigid body is the point where: — The entire mass of the body can be assumed to be concentrated for translational motion.

39. For a rigid body rotating about a fixed axis, the rate of change of angular momentum is equal to: — The net external torque

40. The direction of angular velocity vector is typically determined by: — The right-hand rule

41. Which statement best describes the relationship between linear and rotational motion? — They are analogous concepts with corresponding quantities and laws.

42. What is the rotational analogue of force? — Torque

43. The condition for rolling without slipping involves a relationship between linear velocity and angular velocity. This relationship is: — v = Rω

44. The work done by a torque τ acting through an angular displacement θ is: — W = τθ

45. Which equation is analogous to s = ut + ½at² for rotational motion? — θ = ω₀t + ½αt²

46. Which equation describes the relationship between torque and angular acceleration for a rigid body? — τ = Iα

47. The rotational analogue of Newton's second law (F=ma) is: — τ = Iα

48. Which of the following equations is a rotational kinematic equation analogous to v = u + at? — ω = ω₀ + αt

49. Which equation is analogous to v² = u² + 2as for rotational motion? — ω² = ω₀² + 2αθ

Rigid body rotation and equations of rotational motion, comparison of linear and rotational motions - One Line Questions