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Linear displacement – MCQs

1. Linear displacement is defined as:

(A) The total path length traveled


(B) The shortest distance between initial and final position


(C) The speed of an object


(D) The rate of change of position



2. The SI unit of linear displacement is:

(A) Meter


(B) Second


(C) Newton


(D) Joule



3. If a runner completes one full lap around a circular track, his displacement is:

(A) Equal to the circumference


(B) Equal to the diameter


(C) Zero


(D) Infinity



4. Displacement is a ________ quantity.

(A) Scalar


(B) Vector


(C) Dimensionless


(D) Constant



5. Which of the following best distinguishes distance from displacement?

(A) Distance is vector, displacement is scalar


(B) Distance is scalar, displacement is vector


(C) Both are scalars


(D) Both are vectors



6. If a car moves 10 m north and then 10 m south, its displacement is:

(A) 0 m


(B) 20 m


(C) 10 m


(D) −20 m



7. Displacement depends only on:

(A) Path taken


(B) Initial and final position


(C) Speed of travel


(D) Time taken



8. A person walks 3 m east and 4 m north. The displacement is:

(A) 7 m


(B) 5 m


(C) 12 m


(D) 1 m



9. The graphical representation of displacement with time gives:

(A) Area under curve


(B) Slope = velocity


(C) Curvature = acceleration


(D) None of the above



10. Which of the following can be negative?

(A) Distance


(B) Displacement


(C) Path length


(D) Time



11. If an athlete runs 400 m on a circular track and ends at the starting point, displacement is:

(A) 400 m


(B) Zero


(C) 200 m


(D) 100 m



12. The displacement vector always points:

(A) Along the path traveled


(B) From initial to final position


(C) Towards the center of the path


(D) Opposite to velocity



13. Which physical quantity is obtained by differentiating displacement with respect to time?

(A) Acceleration


(B) Velocity


(C) Force


(D) Power



14. If a car moves in a straight line and returns to its starting point, its displacement is:

(A) Positive


(B) Zero


(C) Negative


(D) Equal to distance



15. Which of the following examples shows displacement?

(A) Odometer reading of a car


(B) Net movement of a swimmer from start to finish


(C) Stopwatch reading


(D) Number of steps taken



16. The displacement of an object can be equal to its distance when the path is:

(A) Curved


(B) Straight line


(C) Circular


(D) Zig-zag



17. In biomechanics, displacement of a limb refers to:

(A) Total muscle force


(B) Change in joint position from start to end


(C) Path followed by the bone


(D) Strength of contraction



18. If displacement is constant with time, velocity is:

(A) Zero


(B) Constant


(C) Increasing


(D) Negative



19. The displacement vector can be represented geometrically as:

(A) Scalar line


(B) Directed arrow


(C) Circle


(D) Point



20. In 1D motion, displacement and distance are equal if:

(A) Motion is curved


(B) Motion is oscillatory


(C) Motion is only forward in a straight line


(D) Motion is circular



21. The dimensional formula of displacement is:

(A) [M¹L⁰T⁻²]


(B) [M⁰L¹T⁰]


(C) [M⁰L⁰T¹]


(D) [M¹L¹T⁻¹]



22. Which of the following is true about displacement?

(A) It cannot decrease


(B) It cannot be zero


(C) It can be zero


(D) It is always greater than distance



23. If a person walks 6 m east and 8 m west, the displacement is:

(A) 14 m


(B) 2 m west


(C) 2 m east


(D) 10 m



24. The maximum possible value of displacement is equal to:

(A) Time × Velocity


(B) Distance traveled


(C) Work done


(D) Acceleration × Time



25. Displacement in biomechanics is crucial for measuring:

(A) Fatigue


(B) Net movement efficiency


(C) Muscle mass


(D) Force production



26. If velocity is constant, displacement varies:

(A) Linearly with time


(B) Quadratically with time


(C) Remains constant


(D) Randomly



27. Which is always path-independent?

(A) Distance


(B) Displacement


(C) Work done


(D) Force



28. A person moves 12 m north and then 5 m south. The displacement is:

(A) 7 m north


(B) 17 m north


(C) 12 m south


(D) 5 m south



29. Displacement-time graph parallel to time axis shows:

(A) Increasing velocity


(B) Zero velocity


(C) Negative acceleration


(D) Uniform velocity



30. Which of these represents zero displacement but non-zero distance?

(A) Jogging back to starting point


(B) Walking in a straight line


(C) Free fall


(D) Constant speed forward



31. In physics, displacement is represented mathematically as:

(A) Δx = x₂ − x₁


(B) Δx = v × t


(C) Δx = at²


(D) Δx = F/m



32. If displacement increases uniformly, motion is:

(A) Uniform


(B) Non-uniform


(C) Constant acceleration


(D) Random



33. In human gait, step length is an example of:

(A) Distance


(B) Displacement


(C) Velocity


(D) Power



34. Which situation gives negative displacement?

(A) Forward running


(B) Returning backward from start


(C) Standing still


(D) Jumping upward



35. The length of the displacement vector is equal to:

(A) Work done


(B) Distance between start and end points


(C) Force applied


(D) Energy used



36. If a particle moves in a circular path of radius r and completes half a circle, displacement is:

(A) 2πr


(B) r


(C) 2r


(D) Zero



37. Which statement is correct?

(A) Displacement is always greater than distance


(B) Distance is always greater than or equal to displacement


(C) Distance equals displacement only in circular motion


(D) Displacement equals zero only in straight line



38. If displacement vs. time graph is a straight line inclined to time axis, velocity is:

(A) Zero


(B) Constant


(C) Increasing


(D) Decreasing



39. In biomechanics, displacement of the center of mass is used to analyze:

(A) Power output


(B) Efficiency of movement


(C) Weight distribution


(D) Muscle fatigue



40. Displacement is independent of:

(A) Initial position


(B) Final position


(C) Path taken


(D) Direction



41. The displacement of a freely falling body after time t is:

(A) ½gt²


(B) v × t


(C) gt


(D) u + at



42. Which of the following must be specified for displacement?

(A) Only magnitude


(B) Magnitude and direction


(C) Only direction


(D) Path length



43. Displacement after completing a full oscillation in simple harmonic motion is:

(A) Zero


(B) Maximum


(C) Infinite


(D) Half amplitude



44. Which example best shows linear displacement in sports?

(A) Distance covered in marathon


(B) Net forward progress of a sprinter


(C) Laps in swimming


(D) Time taken in race



45. Displacement is said to be positive when:

(A) Motion is backward


(B) Motion is forward in chosen reference direction


(C) Motion is oscillatory


(D) Motion is circular



46. If the displacement-time graph curves upward, motion has:

(A) Constant velocity


(B) Uniform acceleration


(C) Zero velocity


(D) Decreasing speed



47. Which case has displacement equal to zero?

(A) Jumping forward


(B) Moving in circular path and stopping at start


(C) Walking north


(D) Throwing a ball upward



48. In clinical gait analysis, displacement data is used to evaluate:

(A) Balance disorders


(B) Blood pressure


(C) Heart rate


(D) Muscle metabolism



49. The unit vector along displacement gives:

(A) Magnitude of displacement


(B) Direction of displacement


(C) Area covered


(D) Work done



50. If a man swims across a river and ends up downstream, his displacement is measured from:

(A) Each stroke of swimming


(B) Initial bank to final bank


(C) Length of river


(D) Water current speed



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